Hopf-Like Bifurcations and Asymptotic Stability in a Class of 3D Piecewise Linear Systems with Applications-Reference-Cited by-同舟云学术

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Hopf-Like Bifurcations and Asymptotic Stability in a Class of 3D Piecewise Linear Systems with Applications

Published:2021-05-25 Issue:4 Volume:31 Page:
ISSN:0938-8974
Container-title:Journal of Nonlinear Science
language:en
Short-container-title:J Nonlinear Sci

Author:

Cristiano Rony^ORCID,Tonon Durval J.,Velter Mariana Q.

Funder

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Fundação de Amparo à Pesquisa do Estado de Goiás

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering,Modeling and Simulation

Link

https://link.springer.com/content/pdf/10.1007/s00332-021-09724-2.pdf

Reference27 articles.

1. Cardoso, J.L., Llibre, J., Novaes, D.D., Tonon, D.J.: Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields. Dyn. Syst. 35(3), 124818 (2020)

2. Castillo, J., Llibre, J., Verduzco, F.: The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems. Nonlinear Dyn. 90, 1829–1840 (2017)

3. Cristiano, R., Pagano, D.J.: Two-parameter boundary equilibrium bifurcations in 3D-Filippov systems. J. Nonlinear Sci. 29(6), 2845–2875 (2019)

4. Cristiano, R., Pagano, D.J., Freire, E., Ponce, E.: Revisiting the Teixeira singularity bifurcation analysis. Application to the control of power converters. Int. J. Bifurc. Chaos 28(9), 1850106 (2018)

5. Cristiano, R., Pagano, D.J., Carvalho, T., Tonon, D.J.: Bifurcations at a degenerate two-fold singularity and crossing limit cycles. J. Differ. Equ. 268(1), 115–140 (2019a)

Cited by 3 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. Pseudo-Bautin bifurcation for a non-generic family of 3D Filippov systems;Systems & Control Letters;2024-03

2. Hopf bifurcation at infinity in 3D Relay systems;Physica D: Nonlinear Phenomena;2023-02

3. Complex Dynamics and Sliding Bifurcations of the Filippov Lorenz–Chen System;International Journal of Bifurcation and Chaos;2022-09-30

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