Computer assisted method for proving existence of periodic orbits
KeywordsConley index, periodic orbit, Rössler equations, isolating neighbourhood, algorithm
AbstractWe introduce a method based on the Conley index theory for proving the existence of a periodic trajectory in a smooth dynamical system in $\mathbb R^n$ where an attracting periodic orbit is numerically observed. We apply this method to prove the existence of a periodic orbit in the Rössler equations, as announced in [< i> Computer assisted proof of the existence of a periodic orbit in the Rössler equations< /i> ].
How to Cite
PILARCZYK, Paweł. Computer assisted method for proving existence of periodic orbits. Topological Methods in Nonlinear Analysis [online]. 1 June 1999, T. 13, nr 2, s. 365–377. [accessed 30.3.2023].
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