TOPICS

Dynamical systems

Stability

Crystals

Computer Solid Geometry

Fractals

Number Theory
JOURNALS

C.Cattani, “Fractal Patterns in Prime Numbers Distribution”, Computational Science and its Applications, D. Taniar et Al.(Eds.) ICCSA, Lecture Notes in Computer Science, Springer-Verlag Berlin Heidelberg, LNCS 6017, Part 2, (2010), 164-176.

C. Cattani, E. Laserra,
“Self-Similar Hierarchical Regular Lattices”, Computational Science and its Applications, D. Taniar et Al.(Eds.) ICCSA, Lecture Notes in Computer Science, Springer-Verlag Berlin Heidelberg, LNCS 6017, Part 2, (2010), 225-240.

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).