Bifurcations of sliding heteroclinic cycles in three-dimensional Filippov systems

DOI10.1142/s0218127424500354zbMATH Open1546.34084MaRDI QIDQ6538930

Qi-Gui Yang, Yousu Huang

Publication date: 14 May 2024

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

zbMATH Keywords

bifurcationPoincaré mapFilippov systemsliding heteroclinic cycle

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homoclinic twisting bifurcations and cusp horseshoe maps
• Bifurcation analysis in an SIR epidemic model with birth pulse and pulse vaccination
• Periodic solutions and bifurcation in an SIS epidemic model with birth pulses
• Local and global behavior near homoclinic orbits
• Bifurcation phenomena near homoclinic systems: A two-parameter analysis
• Global bifurcations and chaos. Analytical methods
• Bifurcation theory for finitely smooth planar autonomous differential systems
• The existence and stability analyses of periodic orbits in 3-dimensional piecewise affine systems
• Hopf and homoclinic bifurcations on the sliding vector field of switching systems in \(\mathbb{R}^3\): a case study in power electronics
• On typical homoclinic-like loops in 3D Filippov systems
• Bifurcations of a generalized heteroclinic loop in a planar piecewise smooth system with periodic perturbations
• Periodic sinks and periodic saddle orbits induced by heteroclinic bifurcation in three-dimensional piecewise linear systems with two zones
• Piecewise-smooth dynamical systems. Theory and applications
• Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems
• The sliding bifurcations in planar piecewise smooth differential systems
• Chains in \(3D\) Filippov systems: a chaotic phenomenon
• Bifurcation Analysis of Planar Piecewise Linear System with Different Dynamics
• ON THE SLIDING BIFURCATION OF A CLASS OF PLANAR FILIPPOV SYSTEMS
• The Bifurcation of Homoclinic and Periodic Orbits from Two Heteroclinic Orbits
• Nondeterministic Chaos, and the Two-fold Singularity in Piecewise Smooth Flows
• Limit Cycle Bifurcations by Perturbing a Piecewise Hamiltonian System with a Double Homoclinic Loop
• Homoclinic Bifurcations with Nonhyperbolic Equilibria
• The Bifurcations of Countable Connections from a Twisted Heteroclinic Loop
• ON BIFURCATIONS OF SEPARATRIX CONTOURS WITH TWO SADDLES
• ON THE COMPLEX BIFURCATION SET FOR A SYSTEM WITH SIMPLE DYNAMICS
• Existence of Homoclinic Cycles and Periodic Orbits in a Class of Three-Dimensional Piecewise Affine Systems
• Shilnikov chaos, Filippov sliding and boundary equilibrium bifurcations
• Sliding homoclinic bifurcations in a Lorenz-type system: Analytic proofs
• Shilnikov problem in Filippov dynamical systems
• ON THE GENERATION OF A PERIODIC MOTION FROM TRAJECTORIES DOUBLY ASYMPTOTIC TO AN EQUILIBRIUM STATE OF SADDLE TYPE
• Elements of applied bifurcation theory
• Sliding Shilnikov connection in Filippov-type predator-prey model
• Chaotic dynamics arising from sliding heteroclinic cycles in 3D Filippov systems

This page was built for publication: Bifurcations of sliding heteroclinic cycles in three-dimensional Filippov systems