Limit cycles for planar piecewise linear differential systems via first integrals.

DOI10.1007/BF02969332zbMath1047.34021MaRDI QIDQ1415966

Antonio E. Teruel, Eduardo Nuñez, Jaume Llibre

Publication date: 9 December 2003

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

limit cyclespiecewise linear differential systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (10)

Slow-fast \(n\)-dimensional piecewise linear differential systems ⋮ Birth, transition and maturation of canard cycles in a piecewise linear system with a flat slow manifold ⋮ Global Dynamics of Memristor Oscillator ⋮ Phase portraits of continuous piecewise linear Liénard differential systems with three zones ⋮ On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry ⋮ Canard Limit Cycles for Piecewise Linear Liénard Systems with Three Zones ⋮ Crossing Periodic Orbits via First Integrals ⋮ Canards in piecewise-linear systems: explosions and super-explosions ⋮ Canards, Folded Nodes, and Mixed-Mode Oscillations in Piecewise-Linear Slow-Fast Systems ⋮ A Multiple Time Scale Coupling of Piecewise Linear Oscillators. Application to a Neuroendocrine System

Cites Work

• Bifurcation 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
• Invariant manifolds
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