BIMODAL PIECEWISE LINEAR DYNAMICAL SYSTEMS: REDUCED FORMS

DOI10.1142/S0218127410027362zbMath1202.34025OpenAlexW2024150315MaRDI QIDQ3065786

Marta Peña, M. Dolors Magret, Josep Ferrer

Publication date: 6 January 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127410027362

zbMATH Keywords

canonical formsequivalence classesbimodal piecewise linear system

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Discontinuous ordinary differential equations (34A36) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (7)

Geometric classification of monogenic subspaces and uniparametric linear control systems ⋮ On the perturbation of bimodal control linear systems ⋮ Codimension-3 Bifurcation for Continuous Saddle Bimodal Linear Dynamical Systems ⋮ Bifurcation Diagram of Saddle/Spiral Bimodal Linear Systems ⋮ Differentiable families of planar bimodal linear control systems ⋮ Controllability of continuous bimodal linear systems ⋮ Structural stability of planar bimodal linear systems

Cites Work

• Invariance and system theory: algebraic and geometric aspects
• Piecewise-smooth dynamical systems. Theory and applications
• A BIPARAMETRIC BIFURCATION IN 3D CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH TWO ZONES: APPLICATION TO CHUA'S CIRCUIT
• Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
• The Focus-Center-Limit Cycle Bifurcation in Symmetric 3D Piecewise Linear Systems
• On simplifying and classifying piecewise-linear systems

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