Limit Cycle and Boundary Equilibrium Bifurcations in Continuous Planar Piecewise Linear Systems
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Publication:5252706
DOI10.1142/S0218127415300086zbMath1314.34085OpenAlexW2033148498MaRDI QIDQ5252706
Elísabet Vela, Enrique Ponce, Javier Ros
Publication date: 3 June 2015
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127415300086
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Analytic circuit theory (94C05) Discontinuous ordinary differential equations (34A36)
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Cites Work
- Limit cycle bifurcations in a class of perturbed piecewise smooth systems
- Limit cycles for perturbing a piecewise linear Hamiltonian system with one or two saddles
- Hopf-like bifurcations in planar piecewise linear systems
- On double boundary equilibrium bifurcations in piecewise smooth planar systems
- On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry
- Canards in piecewise-linear systems: explosions and super-explosions
- The Focus-Center-Limit Cycle Bifurcation in Discontinuous Planar Piecewise Linear Systems Without Sliding
- NONHYPERBOLIC BOUNDARY EQUILIBRIUM BIFURCATIONS IN PLANAR FILIPPOV SYSTEMS: A CASE STUDY APPROACH
- Neuronal Networks with Gap Junctions: A Study of Piecewise Linear Planar Neuron Models
- The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
- SOFTENING THE NONLINEARITY IN CHUA'S CIRCUIT
- The McKean's Caricature of the Fitzhugh--Nagumo Model I. The Space-Clamped System
- Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
- Understanding cardiac alternans: A piecewise linear modeling framework
- On simplifying and classifying piecewise-linear systems
- Canonical Discontinuous Planar Piecewise Linear Systems
- LIMIT CYCLE BIFURCATION FROM CENTER IN SYMMETRIC PIECEWISE-LINEAR SYSTEMS
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