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Title:
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Limit cycles for piecewise linear differential systems via Poincaré–Miranda theorem
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Author:
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Gasull Embid, Armengol; Mañosa Fernández, Víctor
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions |
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Abstract:
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In Gasull and Mañosa (Periodic orbits of discrete and continuous dynamical systems via Poincaré–Miranda theorem, Preprint 2018 Ref [2]), we develop an effective procedure to prove the existence, determine the number, and locate periodic orbits of dynamical systems of both discrete and continuous nature. It is based on the use of the Poincaré–Miranda theorem. This note presents one of the results obtained in that paper: a new example of piecewise linear differential system with three limit cycles. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
-Differentiable dynamical systems
-Limit cycles
-Piecewise-linear system
-Poincaré-Miranda Theorem
-Sistemes dinàmics diferenciables
-Classificació AMS::34 Ordinary differential equations
-Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory
-Classificació AMS::58 Global analysis, analysis on manifolds::58B Infinite-dimensional manifolds
-Classificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamics |
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Rights:
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Document type:
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Article - Published version
Book Part |
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Published by:
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Birkhäuser
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