Formal and analytic integrability of the rossler system

International Journal of Bifurcation and Chaos

Volumn 17, Issue 9, 2007, Pages 3289-3293

  Llibre, Jaume ^a   Valls, Clàudia ^b  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^b INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

Integrability; Polynomial systems

Indexed keywords

CHAOS THEORY; INTEGRAL EQUATIONS; NUMERICAL ANALYSIS; POLYNOMIAL APPROXIMATION;

POLYNOMIAL SYSTEMS; POWER SERIES; ROSSLER SYSTEM;

BIFURCATION (MATHEMATICS);

EID: 36749008491     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127407019044     Document Type: Article

References (5)

1. Hitchin, N. [1997] Integrable Systems: An Introduction, Notes from the Mathematical Institute, Oxford.
2. Llibre, J. & Zhang, X. [2002] "Darboux integrability for the Rossler system," Int. J. Bifurication and Chaos 12, 421-428.
3. Llibre, J. & Valls, C. [2005] "Formal and analytic integrability of the Lorenz system," J. Phys. A Math. Gen. 38, 2681-2686.
4. Rossler, E. O. [1976] "An equation for continuous chaos," Phys. Lett. A 57, 397-398.
5. Zakharov, V. E. [1991] What is Integrability? Springer Series in Nonlinear Dynamics (Springer-Verlag, Berlin).