Title of article :
Isolating chains and chaotic dynamics in planar nonautonomous ODEs
Original Research Article
Author/Authors :
Leszek Pieni??ek، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
Abstract :
We present a topological method for detecting complicated dynamics in nonautonomous periodic ODEʹs. The method is based on the notion of isolating chain. As an application we show the chaotic behaviour of processes generated by the equations in the complex plane View the MathML source, where k>3 is an even number and φ is close to 0.
Keywords :
Chaotic dynamics , Periodic solutions , fixed point index , Isolating segment , Isolating chain
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications