TOPICS

Dynamical systems

Stability

Crystals

Computer Solid Geometry

JOURNALS

C. Cattani, M. Scalia, M. Yushkov, S. Zegzhda, “Consideration of Reaction Forces of Holonomic Constraints as

Generalized Coordinates in Approximate Determination of Lower Frequencies of Elastic Systems”,Technische

Mechanik 28 (2), (2008) 126–139.

C.Cattani, A.Ciancio, “Qualitative analysis of the Tobin-Benhabib-Miyao Dynamical System”, Differential Geometry

Dynamical Systems, vol. 8 (2006), 43–53.

http://www.mathem.pub.ro/dgds/v8/d8.htm

C. Cattani , A. P. Seyranian, “The regions of instability of a system with periodically varying moment of inertia”,

Journal of Applied Mathematics and Mechanics, 69, (2005), 810-815.

C.Cattani, E.A.Grebenikov and A.N.Prokopenya, “On the stability of the Hill’s equation with damping”, Nonlinear

Oscillations, Vol. 7, 2 (2004), 169-179.

http://www.springerlink.com/content/wq610364hl781020/?p=3cdb608c818c49869ed7e30a766ac734&pi=14

C.Cattani and A. N. Prokopenya, “On the Stability of the Homographic Polygon Configuration in the Many-Body

Problem”, Atti dell’Accademia Peloritana dei Pericolanti, Classe I, Classe di Sc. Mat.,Fis. e Nat.,

vol. LXXXI-LXXXII (2003-04) 1-13.

http://antonello.unime.it/atti/2004/c1a0401004.pdf

C.Cattani, and E.Laserra, “Transport Theory of Homogeneous Reacting Solutes”, Ukrainian Mathematical Journal,

vol. 53, 8, (2001), 1048-1052.

http://www.springerlink.com/content/l01644221762373m/?p=d2cb0e01729b47f6836485e949fa7a9f&pi=9

C.Cattani, and E.Laserra, “Simplicial geometry of crystals”, Journal of Interdisciplinary Mathematics,

vol. 2, 2-3, (1999), pp. 143-151,

C.Cattani, “Existence and uniqueness theorems in the linear magnetohydrodynamics with dissipative

boundary conditions”, Riv. Matematica dell’Univ. di Parma (5) 5, 121–133, (1996).

A.Paoluzzi, F.Bernardini, C.Cattani, and V.Ferrucci, “Dimension independent modeling with simplicial complexes”,

ACM Transactions on Graphics, pages 56–102, January (1993).

http://portal.acm.org/citation.cfm?doid=169728.169719

C.Cattani, and A.Paoluzzi, “Boundary integration over linear polyhedra”, CAD (Computer Aided Design), 22, 2:130-

135, March (1990). doi:10.1016/0010-4485(90)90007-Y?

C.Cattani, and A.Paoluzzi, “Symbolic analysis of linear polyhedra”, EWC (Engineering with computers), 6:17–29,

January (1990).

PROCEEDINGS

C.Cattani, E. A. Grebenikov and A. Prokopenya, “Symbolic Calculations in Studying the Stability of Dynamically

Symmetric Satellite Motion”, CASC 2005, The 8th International Workshop on Computer Algebra in Scientific

Computing, September 12-16, 2005- Kalamata, Greece, V.G.Ganzha, E.W.Mayr and E.V.Vorozhtov (Eds.), Lecture

Notes in Computer Science, Springer-Verlag Berlin Heidelberg (2005) 93-104.

http://www.springerlink.com/content/08t0d24xlq3b87vu/

A. P. Seyranian, C. Cattani , “On a Parametric Resonance Problem”, International Conference PhysCon 2005, August

24-26, 2005, Saint Petersburg, RUSSIA, 326-329.

C. Cattani, E. A. Grebenikov and A. N. Prokopenya, “On the parametric resonance in some mechanical systems with

dissipation”, Proceedings of the International Workshop on Computer Algebra in Scientific Computing CASC2004 (St.

Petersburg, Russia, July 12-19, 2004), V.G.Ganzha, E.W.Mayr, E.V.Vorozhtsov (Eds.), Technical University, Munich,

2004, pp.81-91.

C.Cattani and A. N. Prokopenya, “On the Stability of the Exact Symmetrical Solutions in the Many-Body Problem”,

6th International Workshop on Computer Algebra in Scientific Computing CASC 2003, Passau, Germany,

September 20 26, 2003, V.G.Ganzha, E.V. Mayr and E.V. Vorozhtsov (Eds.), TUM, (2003), 67-76.

C.Cattani, and A.Paoluzzi. “A Topological approach to Space-Time Modelling”, System Modelling and Simulation,

L.Carotenuto S.Tzafestas, A.Eisinberg, editors, Elsevier Science Publishers B.V., North-Holland, 61–66, (1989).

EDUCATIONAL

C. Cattani, Nuovo Dizionario Enciclopedico, Piccola Treccani, Enciclopedia Italiana Treccani, Editor for Math Entries,

(1992-1996)

http://www.treccani.it/Portale/sito/catalogo/sapere_enciclopedico/la_piccola_treccani/

C.Cattani,V Appendice, Enciclopedia Italiana Treccani, Biografie di S.Helgason (p.561), H.Hironaka (p.567), J.

L.Koszul (p.117), S.G.Mikhlin (p.485), D.Quillen (p. 377), R.S.Rivlin (p.548), T.Skolem (pp.822 823), R.Thom,

T.J.Willmore, (pp. 995-96).

B. A. Dubrouvin, S. P. Novikov, e A.T. Fomenko, Modern Geometry, volumi 1,2,3. Editori Riuniti, Roma,

(Edizioneitaliana a cura di C. Cattani e M. De Maria), (1987/88/89).

Regge calculus

3+1 projections
JOURNALS

C. Cattani and E.Laserra, “Hilbert-Palatini non–holonomic principle”, JIM, Journal of

Interdisciplinary Mathematics,vol. 6, 3 (2003), 239-251.

C. Cattani? and E.Laserra, “Intrinsic geometry of Lax Equation”, JIM, Journal of Interdisciplinary

Mathematics, vol. 6,3, (2003), 291-299.

C. Cattani and E.Laserra, “Hilbert-Palatini non–holonomic principle”, JIM, Journal of

Interdisciplinary Mathematics,

vol. 6, 3 (2003), 239-251.

C.Cattani, and E.Laserra, “Discrete electromagnetic action on a gravitational simplicial net”, Journal

of Interdisciplinary Mathematics,vol. 3, 2-3, (2000),123-132,

G.Ferrarese and C.Cattani, “Gauss–Poisson equation in General Relativity”, Atti dell`Acc.delle

Scienze di Torino,130, 181–192, (1996)

G.Ferrarese, L.Stazi, C.Cattani, and D.Bini, “Kinematics of relativistic deformations and Thomas

precession”,Nuovo Cimento, 105B(10):1131–1140, (1990).

http://www.springerlink.com/content/a0270371m41t7733/?p=fb3d05fb5feb41a3bf663581788667c4&pi=5

C.Cattani, “Sui riferimenti quasi-naturali adattati ad una struttura riemanniana quasi prodotto”,

Rendiconti di Matematica, 2(2):303–313, (1982). (in Italian)

G.Ferrarese and C.Cattani, “Tecnica delle proiezioni e derivazioni covarianti adattate ad una

struttura riemanniana quasiprodotto”, Rendiconti di Matematica, 13(1):135–151, (1980).

(in Italian)

PROCEEDINGS

C.Cattani, “Variational? method and Regge equations”, Proceedings, of the MG8, Eighth Marcel

Grossmann Meeting,Jerusalem 1997, T.Piran and R.Ruffini (eds.), World Scientific,

Singapore, Part A (1999), pp. 753-755.

Einstein-Levi Civita correspondence

Palatini variational principle

Invariance and covariance debate

Marcolongo correspondence

JOURNALS

C. Cattani, “La Physique de la Relativité en Belgique au début du XXe siècle”, to appear on Album

Belgique (2009). (in French)

C.Cattani, “I primi anni della relativitàin Italia e la corrispondenza Einstein- Levi Civita”, Quaderni

di Storia della Fisica, 3, 25-51, (1998). (in Italian)

http://www.sif.it/SIF/en/portal/journals/qsf/econtents

C.Cattani, “Marcolongo e la volgarizzazione della relatività (1906-1924)”, Rivista di Storia delle

Scienze, (S. II),? 4, (2), 99–144, (1996). (in Italian)

C.Cattani, “Levi-Civita e la sua scuola di relatività”, in Cento anni di Matematica 1895-1995,

Fratelli Palombi editori, 213–229 (1996). (in Italian)

C.Cattani, and M.De Maria, “Genialità e rigore: la corrispondenza Einstein- Levi Civita (1915

1917)”, Rivista di Storia della Scienza, (S. II), 4, 1–22, (1996). (in Italian)

C.Cattani, and E. Laserra, “The Italian controversy on the composition of rigid motions”, Rivista d

Storia della Scienza, 2(serie II):1–14, Giugno (1994).

C.Cattani, and M.De Maria, “Conservation Laws and Gravitational waves in General Relativity

(1915-1918)”,The Attraction of Gravitation: New Studies in the History ofGeneral Relativity,

M.Jansen J.Earman and J.D.Norton, editors, Birkhauser, Boston,Basel,Berlin, volume 5, 63–87,

(1993).

http://www.springer.com/birkhauser/physics/book/978-0-8176-3624-1

C.Cattani, “Levi-Civita’s Influence on Palatini’s Contribution to General Relativity”, The Attraction

of Gravitation:

New Studies in the History of General Relativity, M.Jansen J.Earman and J.D.Norton, editors,

Birkhauser, Boston,Basel,Berlin, volume 5, 206–222, (1993).

http://www.springer.com/birkhauser/physics/book/978-0-8176-3624-1

C.Cattani, and M. De Maria. “The 1915 epistolary controversy between A.Einstein and

T.LeviCivita”, Einstein and the history of general relativity, D.Howard and J.Stachel,

editors, Birkhauser, N.Y., volume 1, 175–200, (1989).

http://www.springer.com/birkhauser/physics/book/978-0-8176-3392-9

C.Cattani, and M. De Maria. “Max Abraham and the reception of relativity in Italy: his 1912 and

1914 controversies with Einstein”, Einstein and the history of general relativity,

D.Howard and J.Stachel, editors,Birkhauser, N.Y.,volume 1, 160–175, (1989).

http://www.springer.com/birkhauser/physics/book/978-0-8176-3392-9  

PROCEEDINGS

C.Cattani, “Early debates on General Relativity in Italy” Invited Lecture, Proceedings of the Xth

Italian Conference on General Relativity and Gravitational Physics, Bardonecchia 1992,

M.Francaviglia M.Cerdonio, R.D’Auria and G.Magnano, editors, World Scientific, Singapore,

(1994), 93–110.

C.Cattani, ?and M. De Maria. “Gravitational waves and conservation laws in general relativity: A.Einstein and

T.Levi-Civita, 1917 correspondence”, Proceedings of the 5th Marcell Grossmann Meeting on General Relativity},

Perth, Australia, 1987, D.G.Blair and M.J.Buckingham, editors, World Scientific, Singapore, (1989), 1335–1342.

C.Cattani, and M.De Maria. “Einstein’s path toward the generally covariant formulation of gravitational field

equations:the contribution of Tullio Levi-Civita”, Proceedings of the 4th Marcell Grossmann Meeting on

General Relativity}, Rome 1985, R.Ruffini, editor, Elsevier Science, North-Holland, (1986), 1805–1826.

TOPICS

Kinetic models in tumor-immune system competition

Wavelet analysis of? DNA

Wavelet analysis of Neurons interaction

 JOURNALS

C.Cattani, A. Ciancio, “Qualitative Analysis of Second Order Models of Tumor-Immune System Competition”,

Mathematical Computer Modeling 47, (2008) 1339–1355. doi:10.1016/j.mcm.2007.07.005

C.Cattani, A. Ciancio, “Hybrid Two Scales Mathematical Tools for Active Particles Modelling Complex Systems

with Learning Hiding Dynamics”, Mathematical Models and Methods in Applied Sciences, 2 (17), (2007) 171-187. http://db0.worldscinet.com/worldsci-staging/tocdetail.nsp

C.Cattani, R.D’Auria, “Correlations in DNA sequences”, JIOS, Journal of Information and Optimization Sciences,

28 (2007) 51-65.

C. Cattani, O. Doubrovina, S. Rogosin , S. L.Voskresensky, E. Zelianko, “On the creation of a new diagnostic model

for fetal well-being on the base of wavelet analysis of cardiotocograms”,Journal of Medical Systems, 30, 6 (2006)

489-494.

http://www.springerlink.com/content/h6w81r4521651466/

C.Cattani, M.L.Bellucci, M.Scalia and G.Mattioli, “Wavelets analysis of correlation in DNA sequences”, Electronics

and Communications, 29 (2006), 50-58.

C.Cattani, A.Ciancio, B. Lods, “On a Mathematical Model of Immune Competition”, Applied Mathematics

Letters, 19, 7 (2006), 686-691. 

PROCEEDINGS

C. Cattani “Complex representation of DNA sequences”, Communications in Computer and Information Science,

Proceedings of the “Bioinformatics Research and Development Second International Conference”, BIRD 2008 Vienna,

Austria, July 7-9, 2008, M. Elloumi et Al. (Eds), Springer-Verlag Berlin Heidelberg, CCIS 13, (2008) 528–537.

http://www.springerlink.com/content/kkr5563u3445q877/

C.Cattani, M. Scalia, “Wavelet Analysis of Impulses in Axon Physiology”, Communications in Computer and

Information Science, Proceedings of the “Bioinformatics Research and Development Second International

Conference”,BIRD 2008 Vienna, Austria, July 7-9, 2008, M. Elloumi et Al. (Eds), Springer-Verlag Berlin

Heidelberg, CCIS 13,

(2008) 538–545. http://www.springerlink.com/content/p0228j671536qw82/

C.Cattani, M. Scalia, “Wavelet analysis of Fitzhugh-Nagumo dynamical system”, ICCSA 2008, June 30-July 3, 2008,

Perugia, O. Gervasi et al. (Eds.), Lecture Notes in Computer Science, LNCS 5072, Part I,? Springer-Verlag Berlin

Heidelberg (2008) 1191-1201.  

C.Cattani, A. Ciancio, “Third Order Model for tumor-immune system competition”, Proceedings of the 4-th

International Colloquium of Mathematics in Engineering and Numerical Physics (MENP-4) Bucharest, October 6-8,

2006, BSG Proceedings (2007) 30-37.

http://www.mathem.pub.ro/proc/colloq06/COLLOQ06.HTM

TOPICS

Solitary wave propagation

Nonlinear waves in micro and nano composites

Cylindrical waves

Murnaghan Signorini Elasticity

Volterra distortions

Elastic wavelets in linear composites

Story Title

JOURNALS

C.Cattani, “Waves in nonlinear Signorini structural model”, Journal of Mathematics, University of North Bengala, I,

No.2(2008) 97–106.

Cattani C., Rushchitsky J.J. “Similarities and differences between the Murnaghan and Signorini descriptions of the

evolution of quadratically nonlinear hyperelastic plane waves”, Int. Appl. Mech., 42, 9, (2006).

http://www.springerlink.com/content/y27212074puq1750/?p=bed3fc6dc71b4073b21d750002a4f0d2π=20

C.Cattani, J.Rushchitsky, “Nonlinear plane? waves in Signorini’s hyperelastic material”, Int. Appl. Mech.,42, 8,

(2006) 58-67.

http://www.springerlink.com/content/u15623086887n081/?p=fb3d05fb5feb41a3bf663581788667c4π=6

Cattani C., Rushchitsky J.J. “Nonlinear cylindrical waves in Signorini’s hyperelastic material”, Int. Appl.

Mech., 42, 7, (2006), 45-56.

http://www.springerlink.com/content/44u848q8j3l1q261/?p=3cdb608c818c49869ed7e30a766ac734π=11

Rushchitsky J.J., Cattani C., “Analysis of plane and cylindrical nonlinear hyperelastic waves in materials with internal

structure”, Int. Appl. Mech., 42, 10, (2006), 21–46.

http://www.springerlink.com/content/q767011284073550/?p=3cdb608c818c49869ed7e30a766ac734π=18

C.Cattani, J.J.Rushchitsky, “Volterra’s distortions in nonlinear hyperelastic media”, International Journal of Applied

Mathematics and Mechanics, vol. 1, no.3, (2005) 100-118.

C.Cattani, J.J.Rushchitsky, S.V. Sinchilo, “Physical constants for one type of nonlinearly elastic

fibrous micro- and nanocomposites with hard and soft nonlinearities”, Int. Appl. Mech. 41, 12, (2005) 47-60.

http://www.springerlink.com/content/6u44r2mw865016×5/?p=3cdb608c818c49869ed7e30a766ac734π=16

J.J.Rushchitsky, C.Cattani, E.V. Terletska, “Wavelet Analysis of a Single Pulse in a linearly Elastic

Composite” International Applied Mechanics, 41 (4) 2005, 374-380.

http://www.springerlink.com/content/j763050751500845/?p=3cdb608c818c49869ed7e30a766ac734π=19

C.Cattani, “Solitary Waves in Dispersive Media”, Il Nuovo Cimento B, Vol. 119, issue no. 7-9, (2004) 875-888.

http://paperseek.sif.it/index.php?doi=10.1393/ncb/i2004-10209-4

C.Cattani, J.J.Rushchitsky and S.V. Sinchilo, “Comparative Analysis of the Profile Evolution of an

Elastic Harmonic Wave caused by the second and third Harmonics” , International Applied? Mechanics,

40, No 2 (2004), 183-189.

http://www.springerlink.com/content/l8j13gt238277022/?p=3cdb608c818c49869ed7e30a766ac734π=12

C.Cattani, J.J.Rushchitsky and S.V. Sinchilo, “Cubic nonlinearity in elastic materials: theoretical prediction

and computer modelling of new wave effects”, Mathematical and Computer Modelling in Dynamical Systems,

10, No.3-4. (2004), 331-352.

C.Cattani, J.J.Rushchitsky, and E.V.Terletskaya, “Wavelet Analysis of the evolution of a solitary wave

in a composite material”, International Applied Mechanics, 40, 3 (2004) 311-318.

http://www.springerlink.com/content/q7m81772q65325n4/?p=d2cb0e01729b47f6836485e949fa7a9fπ=7

J.J.Rushchitsky, C.Cattani, “Evolution Equations for Plane Cubically Nonlinear Elastic Waves”, International Applied

Mechanics, 40, no 1 (2004) 70-76.

http://www.springerlink.com/content/j6673p6332764726/?p=fb3d05fb5feb41a3bf663581788667c4π=4

C.Cattani and J.J.Rushchitsky “Cubically nonlinear elastic waves versus quadratically ones. Main wave effects”,

International Applied Mechanics, 39, No 12 (2003) 1361-1399.

http://www.springerlink.com/content/g6r222w17q92q140/?p=fb3d05fb5feb41a3bf663581788667c4π=2

C.Cattani and J.J.Rushchitsky, “Cubically Nonlinear Elastic Waves: Wave Equations and Methods of Analysis”,

International Applied Mechanics, 39, No 10 (2003), 1115-1145.

http://www.springerlink.com/content/n4k7h853g2623826/?p=3cdb608c818c49869ed7e30a766ac734π=15

C.Cattani and J.J.Rushchitsky, “Solitary Elastic Waves and Elastic Wavelets”, International Applied Mechanics, 39,

No.6 (2003), 741-752.

http://www.springerlink.com/content/k63g323138k47083/?p=fb3d05fb5feb41a3bf663581788667c4π=1

C.Cattani and J.J.Rushchitsky, “The Subharmonic Resonance and Second Harmonic of a Plane Wave in Nonlinearly

Elastic Bodies” International Applied Mechanics, 39, No 1 (2003), 93-98.

http://www.springerlink.com/content/x7t218445600h8m2/?p=3cdb608c818c49869ed7e30a766ac734π=13

C.Cattani, J.J.Rushchitsky and S.V. Sinchilo, “Propagation of the Energy of Nonlinearly Elastic Plane Waves” ,

International Applied Mechanics, 39, No 5 (2003) 583-586.

http://www.springerlink.com/content/m0870×17xn73323v/?p=fb3d05fb5feb41a3bf663581788667c4π=0

J.J.Rushchitsky, C.Cattani, and S.V. Sinchilo, “Cubic Nonlinearity in Elastic Materials: Theoretical

Prediction and Computer Modelling and New Wave Effects” , Mathematical and Computer Modelling

of Dynamical System, vol. 10, No 3-4 (2003), 331-352.

J.J.Rushchitsky, C.Cattani, and E.V.Terletskaya, “The Effect of the Characteristic Dimension of a

Microstructural Material and the Trough Length of a Solitary Wave on its Evolution”, International Applied

Mechanics, 39, No 2 (2003), 197-202.

http://www.springerlink.com/content/k244v574k0v47355/?p=bed3fc6dc71b4073b21d750002a4f0d2π=21

C.Cattani and J.J.Rushchitsky, “Plane waves in Cubically Nonlinear Elastic Media”, International Applied Mechanics,

38, No.11, (2002), 1361-1365.

http://www.springerlink.com/content/gu6502572l373873/?p=fb3d05fb5feb41a3bf663581788667c4π=3

J.J.Rushchitsky and C.Cattani, “Generation of the Third Harmonics by Plane Waves in Murnaghan Materials” ,

International Applied Mechanics, 38, No.12, (2002),1483-1487.

http://www.springerlink.com/content/tp66g351t44831k3/?p=d2cb0e01729b47f6836485e949fa7a9fπ=8

PROCEEDINGS

C.Cattani and J.Rushchitsky, “On certain direction in the Nonlinear Waves Analysis in Elastic Materials”, Proceedings

of the International Conference APM 2003,”Advanced Problems in Mechanics”, D.A. Indeitsev (Ed.), St Petersburg,

Russia, June 22-July 2, 2003 (2004). pp. 185-194,

J.Rushchitsky, C.Cattani and K.Terletska, “Modelling the Plane Solitary Wave Evolution Using the Wavelet Analysis”,

Proceedings of the International Conference APM 2003,”Advanced Problems in Mechanics”, D.A. Indeitsev (Ed.), St

Petersburg, Russia, June 22-July 2, 2003 (2004). pp. 203-210,

C.Cattani, “Wavelets in the Propagation of Waves in Materials with Microstructure”, International Conference

“Physics and Control” (PhysCon 2003), St Petersburg, Russia, August 20-22, 2003, 1084-1089.

C.Cattani, “Wavelet Solutions in Elastic Nonlinear Oscillations”, Proceedings of the 11th International Conference on

“Waves and Stability in Continuous Media-Wascom 2001”, R.Monaco, M.Pandolfi Bianchi, S.Rionero (eds.),Porto

Ercole, (Italy),3-9, June 2001,World Scientific, (2002), 144-149.

C.Cattani, “Wavelets in the Heat Propagation”, Proceedings of the Third International Workshop on

“Mathematica”System in Teaching and Research, Wydawnictwo Akademii Podlaskiej, Siedlce, Poland,

September 5-7, (2001), 40-45.

Families:
Littlewood and Paley wavelet
Haar wavelet
Shannon wavelet
Mexican Hat wavelet

Applications:
Wavelet solution of differential equations,
Solitary waves evolution,
Sequence analysis,
Multifractal analysis
Refinable integrals, Connection coefficients

Books

C.Cattani,M. Li, C. Toma, (Eds.) Short Range Phenomena: Modeling, Computational Aspects,and Applications”Specialissue of the journal Mathematical Problems in Engineering, Hindawi, Article ID 761081,(2008). http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/761081

C. Cattani,J.J.Rushchitsky, Wavelet and Wave Analysis as applied to Materials with Micro or Nanostructure, Series on Advances in Mathematics for Applied Sciences,World Scientific, Singapore, 74 (2007). 456 pp. http://www.worldscibooks.com/mathematics/6497.html , Review [1]

Story Title

Journals

C. Cattani, “Wavelet Based Approach to Fractals and Fractal Signal Denoising”,to appear on Transactions on Computational Sciences Journal (2009).

C.Cattani, “Harmonic Wavelet Analysis of a Localized Fractal”, International Journal of Engineering and Interdisciplinary Mathematics (2009). Download

C.Cattani, “Wavelet Analysis of Fractals”,to appear on Bulletin of the Chelyabinsk State University (2009).

C.Cattani, “Harmonic Wavelet Approximation of Random, Fractal and High Frequency Signals”,to appear on Telecommunication Systems (2009).

C.Cattani, “Harmonic wavelet analysis of nonlinear waves”,Technische Mechanik, 28 (2), (2008) 166–181.
http://www.uni-magdeburg.de/ifme/zeitschrift_tm/2008_Heft2/07_Cattani.pdf

C.Cattani,“Harmonic Wavelet Solution of Poisson’s Problem”,Balkan Journal of Geometry and its Applications 13, No. 1 (2008) 27-37. http://www.mathem.pub.ro/bjga/v13n1/v13n1.htm

C.Cattani, “Harmonic Wavelet Solution of Poisson’s Problem with a localized source”, Atti dell’Accademia Peloritana dei Pericolanti, Classe di Scienze, Matematiche e Naturali, Vol. LXXXVI (2008).
http://antonello.unime.it/atti/2008_2/c1a0802003.pdf

List of Pubblications

* WAVELETS
* NONLINEAR AND SOLITARY WAVES
* BIOMATHEMATICS
* HISTORY OF SCIENCE
* RELATIVITY
* OTHER

C.Cattani, “Shannon Wavelets Theory”,Mathematical Problems in
Engineering, vol. 2008, Article ID 164808, 24 pages, (2008).
http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/164808

J.J.Rushchitsky, C.Cattani, E.V. Terletska, Y.Symchuk, “Elastic
Wavelets and their Application to Solitary Wave Propagation”,
Rendiconti Accademia Peloritana dei Pericolanti,LXXXVII,1(2008) 1-17.
http://antonello.unime.it/atti/2008_1/c1a0801004.pdf

C.Cattani, “On the scale dependence of the structural models for
nanocomposite materials”,Materiale Plastice 44(4),(2007), 269–272.
Download

C.Cattani, “Connection Coefficients of Shannon Wavelets”,Mathematical
Modelling and Analysis, vol. 11 (2),(2006), 1–16.
http://inga.vgtu.lt/~art/k_m11_fileslist.php?key_m=832

C.Cattani,“Wavelet approach to Stability of?Orbits
Analysis”,International Applied Mechanics, 42,6,(2006),136-142.
http://www.springerlink.com/content/f07l68h15j272j0n/?p=3cdb608c818c49869ed7e30a766ac734π=17

C.Cattani,I. Bochicchio,“Wavelet Analysis of Chaotic Systems”,Journal of ?Interdisciplinary Mathematics, 9, 3, (2006) 445-458.

C.Cattani,“Harmonic Waveletstowards Solution of Nonlinear PDE”,Computers and Mathematics with Applications, 50, 8-9
(2005), 1191-1210. doi:10.1016/j.camwa.2005.07.001

C.Cattani, A.Ciancio,“Wavelet Clustering in? Time Series Analysis”,Balkan Journal of Geometry and Its Applications (BJGA), 10, 2, (2005), 33-44. http://ftp.fi.muni.cz/pub/muni.cz/EMIS/journals/BJGA/10.2/b10-cb.pdf

C.Cattani and S. V. Rogosin, “Harmonic Wavelets and their certain properties”,Izv. Nat. Akad. Nauk ?Belarusi (Proceedings
of the Belarussian Academy of Science), ser. Physical-Mathematical Sciences, 2 (2005), 35-41 (in Russian). Download

C.Cattani, “Haar Wavelet based Technique for Sharp Jumps Classification”,Mathematical and Computer Modelling 39, (2004)
255-279. clear doi:10.1016/S0895-7177(04)90010-6

C.Cattani, “Haar wavelets based technique in evolution problems”,Proc. Estonian Acad. of Sciences, Phys. Math., 53, 1 (2004) 45-63. http://www.kirj.ee/public/va_fm/s04-1-fm.htm , Download

C.Cattani and L.M. Sanchez Ruiz, “Discrete Differential Operators in Multidimensional Haar Wavelet Spaces”,International Journal of Mathematics and Mathematical Sciences, No. 44, (2004) 2347-2355.
http://www.emis.de/journals/HOA/IJMMS/2004/41-442347.pdf

C.Cattani, “Harmonic Wavelet Solutions of the Schr dinger Equation”,International Journal of Fluid Mechanics Research 5,(2003), 1-10. http://www.begellhouse.com/journals/71cb29ca5b40f8f8,3002b98831d48002.html

C.Cattani, “Multiscale Analysis of Wave Propagation in Composite Materials”,Mathematical Modelling and Analysis, vol. 8, Nr. 4 (2003) 267-282. http://inga.vgtu.lt/~art/k_m08_fileslist.php?key_m=750

C.Cattani, “The Wavelet-based technique in dispersive wave propagation”,International Applied Mechanics, 39, no. 4 (2003), 493-501. http://www.springerlink.com/content/u81865p0217×5075/?p=3cdb608c818c49869ed7e30a766ac734π=10

C.Cattani, “Wavelet Analysis of Dynamical Systems”,Electronics and Communications, 17, (2002), 115-124.

C.Cattani, “Wavelet Solutions of Evolution Problems”,Atti Accademia Peloritana dei Pericolanti, Classe I, Scienze Fis.Mat. e Nat., vol. LXXX (2002), 21-34.

C. Cattani and A. Ciancio, “Wavelet analysis of linear transverse acoustic waves”,Atti Accademia Peloritana dei Pericolanti, Classe I, Scienze Fis.Mat. e Nat., vol. LXXX (2002), 83-104.

C. Cattani and E.Laserra, “Wavelets in the Transport Theory of Heterogeneous Reacting Solutes”,Applied Hydromechanics, vol. 4 (76), n.3 (2002), 75-77,

C. Cattani,“Wavelet-Ritz Discretization of Variational Problems”,Researches on Numerical Methods of Analysis and Optimization, Vol. 3, nr.1(5), (2001), 3-5.

C. Cattani,“Haar Wavelet Spline”, Journal of Interdisciplinary Mathematics vol.4, No. 1, (2001), 35-47.

Proceedings

C. Cattani “Wavelet Extraction of a Pulse from a Periodic Signal”, ICCSA 2008, June 30-July 3, 2008, Perugia, M. Gavrilova et al.(Eds.), Lecture Notes in

Computer Science,LNCS 5072, Part I,Springer-Verlag Berlin Heidelberg (2008) 1202-1211.
http://www.springerlink.com/content/c171563l57mv5qn1/

C. Cattani and A. Kudreyko,“Mutiscale Analysis of the Fisher Equation”, ICCSA 2008, June 30-July 3, 2008, Perugia, M. Gavrilova et al.(Eds.), Lecture Notes in
Computer Science, LNCS 5072, Part I, Springer-Verlag Berlin Heidelberg (2008) 1171-1180.
http://www.springerlink.com/content/38xj6×88877l6802/

C. Cattani, “Wavelet solution for the momentless state equations of an hyperboloid shell with localized stress”, Proceedings of the International Conference on Computational Science and Application, (ICCSA 2007), August 26-30, 2007, Kuala Lumpur, Malaysia, M. Gavrilova et al. (Eds.), Lecture Notes in Computer Science, LNCS 3980, Springer-Verlag Berlin Heidelberg (2007) 490-499.
http://www.springerlink.com/content/x578107657641k3n/

C. Cattani, “Shannon Wavelet Analysis”, Proceedings of the International Conference on Computational Science, ICCS 2007, May 27-30, 2007, Beijing, China, Y. Shi et Al. (Eds.),Lecture Notes in Computer Science, LNCS 4488, Part II, Springer-Verlag Berlin Heidelberg (2007) 982-989. http://www.springerlink.com/content/22634wk7p632307m/

C.Cattani, L.M. Sanchez Ruiz, “On the differentiable structure of Meyer wavelets” Proceedings of the International Conference on Computational Science, ICCS 2007, May 27-30, 2007, Beijing, China, Y. Shi et Al. (Eds.),Lecture Notes in Computer Science, LNCS 4488, Part II, Springer-Verlag Berlin Heidelberg (2007). http://www.springerlink.com/content/3045500614p36333/

C.Cattani, L.M. Sanchez Ruiz, “Revisiting Meyer wavelets” Workshop on Applications of Wavelets to real world problems-IWW 2007, 7-9 June 2007, Istanbul, p.51-57.

C. Cattani and I. Bochicchio, “Wavelet analysis of bifurcation in a competition model”, Proceedings of the International Conference on Computational Science, ICCS 2007, May 27-30, 2007, Beijing, China, Y. Shi et Al. (Eds.), LNCS 4488, Part II, Springer-Verlag Berlin Heidelberg (2007) 990-996. http://www.springerlink.com/content/jk512g84pk73×65g/

C. Cattani, “Multiscale approach to evolution problems”, Proceedings of the International Conference 4th Polyakhov Readings, February 5-9, 2006, St. Petersburg,E. Kustova, A. Polyansky (Eds.), (2006), 55-64.

C.Cattani, “On the optimal wavelet representation of sequences”, International Conference “Potential Theory and Complex Analysis”, May 8-11, 2006 Kiev, O. Limarchenko et al.(Eds.),?Institute of Mathematics of the Ukrainian Academy of Science (2006) 52-59.

C. Cattani, “Wave Propagation of Shannon Wavelets”, International Conference on Computational Science and its Applications (ICCSA 2006), May 8-11, 2006 Glasgow, M.Gavrilova et al.(Eds.), LNCS 3980, Springer-Verlag Berlin Heidelberg (2006), 785-793.
http://www.springerlink.com/content/w73n5xk432276w24/

C. Cattani, “Wavelets in Jumps detection”, International Workshop on Applications of Wavelets to Real World Problems (IWW2005) 17-18 JULY 2005, ITICU, Istanbul, TURKEY, A.H. Siddiqi, S. Alsan, M. Rasulov, O. Oguz and Z. Aslan (Eds.), Istanbul Commerce University Publication, (2005) 121-132.

C.Cattani, “Wavelet solution of Fredholm integral equations”, Proceedings of the International Conference on “Differential Equations and Computer Algebra System”(DE&CAS’2005), Brest October 5-8, Belarus, Part 1, BSTU (2005), 242-249.

C.Cattani, “Wavelet Analysis of Solitary Wave Evolution”,International Conference on Computational Science and its Applications (ICCSA 2005), May 9-12, 2005 Singapore, O. Gervasi et al. (Eds.), Springer-Verlag Berlin Heidelberg (2005), 604-613.
http://www.springerlink.com/content/rl5dkbcm9qe824ph/

C.Cattani, A.Ciancio, “On the Haar Wavelet Analysis of Jumps”, Proceedings of the the 3-rd International Colloquium“Mathematics in Engineering and Numerical Physics” (MENP-3) October 7-9, 2004 Bucharest, Romania, BSG Proceedings 12, C.Udriste and V.Balan (Eds), Balkan Society of Geometers, Geometry Balkan - Press, 2005, 72-81. http://www.mathem.pub.ro/proc/colloq04/M-CAT.PDF

C. Cattani, “Noise Sorting? by a Wavelet Based Technique”, Proceedings of the 7th International Workshop on Complex Systems in Natural and Social Sciences (CSNSS’02), Matrafured, Hungary September 26-29, 2002, E.Hideg, K.Martinas, M.Moreau and D.Meyer Eds., (2003) 47-56.

C.Cattani, “Spike detection and sorting by wavelets”, Mechanics, Mechatronics and Structronics: Proceedings of the First International Congress on Mechatronics - Johannes Kepler University of Linz, Austria, July 3-7, 2002 Ardeshir Guran Ed., World Scientific (2003) 75-80.

C.Cattani, “Wavelets Solving Variational Problems”, Proceedings of the VIII Erouguine Readings, International Conference, Brest (Bielorussia), May 20-23, (2002), 79.