Bifurcations of a generalized heteroclinic loop in a planar piecewise smooth system with periodic perturbations
DOI10.1007/s12346-021-00554-xOpenAlexW4210290302MaRDI QIDQ2114392
Fang Wu, Jiafu Wang, Li-Hong Huang
Publication date: 15 March 2022
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-021-00554-x
bifurcationpiecewise smooth systemgeneralized heteroclinic loopsliding periodic orbitT-periodic perturbation
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Nonautonomous smooth dynamical systems (37C60)
Cites Work
- Heteroclinic bifurcation in a class of planar piecewise smooth systems with multiple zones
- On the chaotic behaviour of discontinuous systems
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Stability and perturbations of generalized heteroclinic loops in piecewise smooth systems
- Chaos induced by sliding phenomena in Filippov systems
- An introduction to hybrid dynamical systems
- Degenerate grazing-sliding bifurcations in planar Filippov systems
- Dynamic analysis of discontinuous plant disease models with a non-smooth separation line
- Global dynamics of a controlled discontinuous diffusive SIR epidemic system
- Applying Battelli-Fečkan's method to transversal heteroclinic bifurcation in piecewise smooth systems
- Piecewise-smooth dynamical systems. Theory and applications
- Limit cycle bifurcations of a piecewise smooth Hamiltonian system with a generalized heteroclinic loop through a cusp
- Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems
- Planar systems of piecewise linear differential equations with a line of discontinuity
- ON THE SLIDING BIFURCATION OF A CLASS OF PLANAR FILIPPOV SYSTEMS
- A Goodwin-Type Model with a Piecewise Linear Investment Function
- Heteroclinic Orbits and Chaotic Dynamics in Planar Fluid Flows
- The generic unfolding of a codimension-two connection to a two-fold singularity of planar Filippov systems
- One-Parameter Bifurcations in Planar Filippov Systems
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- The Melnikov Method and Subharmonic Orbits in a Piecewise-Smooth System
- Shilnikov chaos, Filippov sliding and boundary equilibrium bifurcations
- Limit Cycles Induced by Threshold Nonlinearity in Planar Piecewise Linear Systems of Node-Focus or Node-Center Type
- Study of Periodic Orbits in Periodic Perturbations of Planar Reversible Filippov Systems Having a Twofold Cycle
- Shilnikov problem in Filippov dynamical systems
- Melnikov-Type Method for a Class of Discontinuous Planar Systems and Applications
- Limit Cycles Near a Piecewise Smooth Generalized Homoclinic Loop with a Nonelementary Singular Point
- Sliding Shilnikov connection in Filippov-type predator-prey model
This page was built for publication: Bifurcations of a generalized heteroclinic loop in a planar piecewise smooth system with periodic perturbations
