Bifurcation analysis of a planar piecewise linear system of focus-focus type
DOI10.1142/s0218127423501651zbMATH Open1546.34088MaRDI QIDQ6538992
Fang Wu, Lihong Huang, Jiafu Wang
Publication date: 14 May 2024
Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)
Poincaré mapdisplacement functionpiecewise linear systemsliding periodic orbitcrossing periodic orbit
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Cites Work
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- Maximum number of limit cycles for certain piecewise linear dynamical systems
- On the number of limit cycles in general planar piecewise linear systems
- The discontinuous matching of two planar linear foci can have three nested crossing limit cycles
- Non-smooth dynamical systems
- The number and stability of limit cycles for planar piecewise linear systems of node-saddle type
- Dynamic analysis of discontinuous plant disease models with a non-smooth separation line
- Limit cycles and global dynamics of planar piecewise linear refracting systems of focus-focus type
- On the number of limit cycles in general planar piecewise linear differential systems with two zones having two real equilibria
- Existence of limit cycles in general planar piecewise linear systems of saddle-saddle dynamics
- Periodic orbits of linear Filippov systems with a line of discontinuity
- On the limit cycles of planar discontinuous piecewise linear differential systems with a unique equilibrium
- A general mechanism to generate three limit cycles in planar Filippov systems with two zones
- Piecewise-smooth dynamical systems. Theory and applications
- Qualitative theory of planar differential systems
- The planar discontinuous piecewise linear refracting systems have at most one limit cycle
- Planar systems of piecewise linear differential equations with a line of discontinuity
- Bifurcation Analysis of Planar Piecewise Linear System with Different Dynamics
- Planar Filippov Systems with Maximal Crossing Set and Piecewise Linear Focus Dynamics
- Limit Cycles Induced by Threshold Nonlinearity in Planar Piecewise Linear Systems of Node-Focus or Node-Center Type
- Limit Cycles and Bifurcations in a Class of Discontinuous Piecewise Linear Systems
- Canonical Discontinuous Planar Piecewise Linear Systems
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