108 citations
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math.DS2007★ 1 cited
Period doubling in the Rossler system - a computer assisted proof
Daniel Wilczak, Piotr Zgliczynski
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…
math.DS2004★ 39 cited
Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - Part II
D. Wilczak, P. Zgliczynski
We present a method for proving the existence of symmetric periodic, heteroclinic or homoclinic orbits in dynamical systems with the reversing symmetry. As an application we show t…
math.DS2002★ 108 cited
Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - A Computer Assisted Proof
D. Wilczak, P. Zgliczynski
The restricted circular three-body problem is considered for the following parameter values , - the values for {\em Oterma} comet in the Sun-Jupiter system. W…