Zero-Hopf Periodic Orbits for a Rössler Differential System

Author:

Llibre Jaume1ORCID,Makhlouf Ammar2

Affiliation:

1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain

2. Department of Mathematics, University of Annaba, Laboratory LMA, P. O. Box 12, Annaba 23000, Algeria

Abstract

We study the zero-Hopf bifurcation of the Rössler differential system [Formula: see text] where the dot denotes the derivative with respect to the independent variable [Formula: see text] and [Formula: see text], [Formula: see text], [Formula: see text] are real parameters.

Funder

Ministerio de Economia, Industria y Competitividad, Agencia Estatal de Investigacion

Agencia de Gestio d'Ajuts Universitaris i de Recerca

H2020 European Research Council

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Zero-Hopf bifurcation of limit cycles in certain differential systems;Bulletin des Sciences Mathématiques;2024-10

2. Using Symbolic Computation to Analyze Zero-Hopf Bifurcations of Polynomial Differential Systems;Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation;2023-07-24

3. Stability and Zero-Hopf Bifurcation Analysis of the Lorenz–Stenflo System Using Symbolic Methods;Computer Algebra in Scientific Computing;2023

4. Algebraic Analysis of Zero-Hopf Bifurcation in a Chua System;Symmetry;2022-05-18

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