On the Limit Cycles for a Class of Continuous Piecewise Linear Differential Systems with Three Zones

DOI10.1142/S0218127415500595zbMath1314.34064OpenAlexW2137428669MaRDI QIDQ5259043

Maurício Firmino Silva Lima, Claudio Pessoa, Weber Flávio Pereira

Publication date: 24 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/s0218127415500595

zbMATH Keywords

limit cyclescenterfocusPoincaré mappiecewise linear vector fields

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Discontinuous ordinary differential equations (34A36)

Related Items (2)

Jump bifurcations in some degenerate planar piecewise linear differential systems with three zones ⋮ Limit Cycles Bifurcating from a Period Annulus in Continuous Piecewise Linear Differential Systems with Three Zones

Cites Work

• Unnamed Item
• On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry
• LIMIT CYCLES FOR A CLASS OF CONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH THREE ZONES
• Canonical realization of Chua's circuit family
• Phase portraits of planar control systems
• Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
• Introduction to the Qualitative Theory of Differential Systems

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