On the dynamics of the Muthuswamy–Chua systems in RR3
We describe completely the dynamics of the three-dimensional Muthuswamy-Chua systems x˙=y,y˙=-x3+y2-yz22,z˙=y-αz-yz, in the infinity of the Poincaré ball for all values of α∈R. Additionally, we provide a complete description of the dynamics of this differential system when α=0.
Authors
- Jaume Llibre (ORCID: https://orcid.org/0000-0002-9511-5999)
- Y. Paulina Martínez (ORCID: https://orcid.org/0000-0003-1430-6636)
- Clàudìa Valls (ORCID: https://orcid.org/0000-0001-8279-1229)
Institutions
- Universitat Autònoma de Barcelona (ES)
- University of Lisbon (PT)
- University of Bío-Bío (CL)
Publication Details
- Journal
- Chaos An Interdisciplinary Journal of Nonlinear Science
- Published
- 2025-04-01
- DOI
- https://doi.org/10.1063/5.0255329
- Citations
- 2
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 8.18
Funders
- Generalitat de Catalunya
- Universidad del Bío-Bío
- Horizon 2020 Framework Programme
- Fundação para a Ciência e a Tecnologia
- Agència de Gestió d'Ajuts Universitaris i de Recerca
- Agencia Estatal de Investigación
- Fondo Nacional de Desarrollo Científico y Tecnológico
- H2020 European Research Council