We extend the concept of linked twist maps to a 3D setting and develop a global geometrical method to detect the presence of complex dynamics. Our approach, which is based on a recent variant of the theory of topological horseshoes, provides an analytical proof of “chaos” which does not involve small/large parameter techniques and is robust with respect to small perturbations. An application is given to a predator-prey system in TeX with a Beddington-DeAngelis functional response.

An example of chaotic dynamics in 3D systems via stretching along paths

ZANOLIN, Fabio
2014-01-01

Abstract

We extend the concept of linked twist maps to a 3D setting and develop a global geometrical method to detect the presence of complex dynamics. Our approach, which is based on a recent variant of the theory of topological horseshoes, provides an analytical proof of “chaos” which does not involve small/large parameter techniques and is robust with respect to small perturbations. An application is given to a predator-prey system in TeX with a Beddington-DeAngelis functional response.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/871356
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