Homoclinic Boundary-Saddle Bifurcations in Planar Nonsmooth Vector Fields

DOI10.1142/S0218127422300099zbMath1502.34023arXiv1701.05857OpenAlexW4220902711MaRDI QIDQ5072402

Mike R. Jeffrey, Ricardo Miranda Martins, Marco Antonio Teixeira, Kamila da S. Andrade

Publication date: 28 April 2022

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05857

zbMATH Keywords

homoclinic connectionnonsmooth systemDulac problemnonlocal bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

Bifurcation diagrams of global connections in Filippov systems ⋮ Global dynamics of a Filippov system with general parameters and saddle structure of a regular-SN

Cites Work

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• The Noisy Pendulum
• The generic unfolding of a codimension-two connection to a two-fold singularity of planar Filippov systems
• One-Parameter Bifurcations in Planar Filippov Systems
• ON THREE-PARAMETER FAMILIES OF FILIPPOV SYSTEMS — THE FOLD–SADDLE SINGULARITY
• Nonresonant Double Hopf Bifurcation in Toxic Phytoplankton–Zooplankton Model with Delay

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