Period doubling in the Rossler system - a computer assisted proof

2007/12/07 by Daniel Wilczak, Piotr Zgliczyński, Wilczak, Daniel +1
Mathematics · Engineering · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Control and Dynamics of Mobile Robots #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.0712.1123

Abstract

The goal of this paper is to show how to produce a piece of rigorous bifurcation diagram of periodic orbits for an ODE. We study the Rossler system, one of the textbook examples of ODEs generating nontrivial dynamics, for the parameter range containing two period doubling bifurcations.

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