Preprint Short Note Version 1 Preserved in Portico This version is not peer-reviewed

Homoclinic Orbits and Chaos in the Un-Perturbed System for Quintic Duffing Equation

Version 1 : Received: 20 September 2024 / Approved: 23 September 2024 / Online: 23 September 2024 (14:10:49 CEST)

How to cite: Zeraoulia, R.; Martinez, L.; Ocampo R., D. L. Homoclinic Orbits and Chaos in the Un-Perturbed System for Quintic Duffing Equation. Preprints 2024, 2024091758. https://doi.org/10.20944/preprints202409.1758.v1 Zeraoulia, R.; Martinez, L.; Ocampo R., D. L. Homoclinic Orbits and Chaos in the Un-Perturbed System for Quintic Duffing Equation. Preprints 2024, 2024091758. https://doi.org/10.20944/preprints202409.1758.v1

Abstract

In this paper we have investigated the driven quintic Duffing equa- tion. Using some analysis technique, we are able to predict the number of limit cycles around the equilibrium and to develop a theoretical ap- proach to chaos transition in damped driven systems.

Keywords

Homoclinic orbits; chaos theory; duffing equation; Hamiltonian

Subject

Computer Science and Mathematics, Applied Mathematics

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