On detecting of chaotic dynamics via isolating chains
Keywords
Periodic solutions, chaotic dynamics, fixed point index, isolating segment, isolating chainAbstract
We show in the paper the method of isolating chains in proof of chaotic dynamics. It is based on the earlier notion of an isolating segment but gives more powerful tool for exploring dynamics of periodic ODE's. As an application we show that the processes generated by the equations in the complex plane $ \dot{z} = {\overline z}^k + e^{i\phi t} {\overline z}$, where $k\geq 3$ is an odd number and $\phi$ is close to $0$, has chaotic behaviour.Downloads
Published
2003-09-01
How to Cite
1.
PIENIĄŻEK, Leszek. On detecting of chaotic dynamics via isolating chains. Topological Methods in Nonlinear Analysis. Online. 1 September 2003. Vol. 22, no. 1, pp. 115 - 138. [Accessed 12 December 2024].
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