Isolating chains and chaotic dynamics in planar nonautonomous ODEs

Leszek Pieniążek1
1Institute of Mathematics, Jagiellonian University, ul. Reymonta 4, 30-059 Krakow, Poland

Tài liệu tham khảo

Dold, 1980 L. Pieniążek, On detecting chaotic dynamics via isolating chains, accepted in Topological Methods in Nonlinear Analysis, 2003. L. Pieniążek, K. Wójcik, Complicated dynamics in nonautonomous ODE's, IMUJ preprint, 1999. R. Srzednicki, A geometric method for the periodic problem in ordinary differential equations, in: G. Fournier, T. Kaczyński (Eds.), Seminaire D'Analyse Moderne, Vol. 22, Universite de Sherbrooke, 1992. Srzednicki, 2000, On periodic solutions inside isolating chains, J. Differential Equations, 165, 42, 10.1006/jdeq.2000.3764 Srzednicki, 1997, A geometric method for detecting chaotic dynamics, J. Differential Equations, 135, 66, 10.1006/jdeq.1996.3222 Wójcik, 1998, Isolating segments and symbolic dynamics, Nonlinear Anal. TMA, 33, 575, 10.1016/S0362-546X(97)00666-4 Wójcik, 1999, On some nonautonomous chaotic system on the plane, Int. J. Bifurc. Chaos, 9, 1853, 10.1142/S0218127499001322 Wójcik, 2000, Isolating segments, fixed point index and symbolic dynamics, J. Differential Equations, 161, 245, 10.1006/jdeq.1999.3696