Limit cycles for planar piecewise linear differential systems via first integrals
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- Type
- article
- Published
- 2002-03-01
- Cited by
- 20
- References
- 6
- OpenAlex
- https://openalex.org/W58398526
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:116028465
Keywords
Mathematics, Piecewise linear function, Planar, Piecewise, Limit (mathematics)
References
- Clasificación topológica de una familia de campos vectoriales lineales a trozos simétricos en el plano
- Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem
- Darboux integrability of real polynomial vector fields on regular algebraic hypersurfaces
- Canard Cycles and Center Manifolds
- Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
- Existence of piecewise linear differential systems with exactly n limit cycles for all n ∈ N
- Differential Equations and Dynamical Systems
- Bifurcation of Planar Vector Fields and Hilbert’s Sixteenth Problem
- Invariant Manifolds
Cited by
- Analyse Algorithmique des Systèmes Hybrides
- A Multiple Time Scale Coupling of Piecewise Linear Oscillators. Application to a Neuroendocrine System
- Canards in piecewise-linear systems: explosions and super-explosions
- Canard-Like Explosion of Limit Cycles in Two-Dimensional Piecewise-Linear Models of FitzHugh-Nagumo Type
- On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry
- Slow–fast n-dimensional piecewise linear differential systems ☆
- Canards, Folded Nodes, and Mixed-Mode Oscillations in Piecewise-Linear Slow-Fast Systems
- Global Dynamics of Memristor Oscillator
- Emergence of localized patterns in globally coupled networks of relaxation oscillators with heterogeneous connectivity
- Computation and Stability Analysis of Limit Cycles in Piecewise Linear Hybrid Systems
- Phase portraits of continuous piecewise linear Liénard differential systems with three zones
- On the crossing limit cycles for piecewise linear differential systems on the plane
- Crossing Periodic Orbits via First Integrals
- Canard Limit Cycles for Piecewise Linear Liénard Systems with Three Zones
- Birth, transition and maturation of canard cycles in a piecewise linear system with a flat slow manifold
- Saddle–node canard cycles in slow–fast planar piecewise linear differential systems
- Dynamics of a Piecewise-Linear Morris–Lecar Model: Bifurcations and Spike Adding
- Bifurcation and Dynamics Analysis of a Piecewise-Linear van der Pol Equation
- Discontinuity Induced Mixed-Mode Oscillations in a Memristive Murali-Lakshmanan-Chua Circuit
- ON THE EXISTENCE AND UNIQUENESS OF LIMIT CYCLES IN PLANAR PIECEWISE LINEAR SYSTEMS WITHOUT SYMMETRY
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