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Higher order Melnikov analysis for planar piecewise linear vector fields with nonlinear switching curve

  • Published:2021-06 Issue: Volume:287 Page:1-36
  • ISSN:0022-0396
  • Container-title:Journal of Differential Equations
  • language:en
  • Short-container-title:Journal of Differential Equations

Author:

Andrade Kamila da S.,Cespedes Oscar A.R.,Cruz Dayane R.,Novaes Douglas D.ORCID

Funder

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Fundação de Amparo à Pesquisa do Estado de São Paulo

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference39 articles.

1. Piecewise linear differential systems with two real saddles;Artés;Math. Comput. Simul.,2014

2. Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold;Bastos;J. Differ. Equ.,2019

3. Piecewise-Smooth Dynamical Systems: Theory and Applications;Bernardo,2008

4. More than three limit cycles in discontinuous piecewise linear differential systems with two zones in the plane;Braga;Int. J. Bifurc. Chaos,2014

5. Piecewise linear perturbations of a linear center;Buzzi;Discrete Contin. Dyn. Syst.,2013

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