Towards Theory of Piecewise Linear Dynamical Systems (original) (raw)

Limit Cycle Bifurcations of a Piecewise Linear Dynamical System

Valery Gaiko

2011

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Global analysis of piecewise linear dynamical systems

W. Van Horssen

2007

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07-16 Global Analysis of Piecewise Linear Dynamical Systems

W. Van Horssen

2008

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A Piecewise Linear Dynamical System with Two Dropping Sections

Valery Gaiko

International Journal of Bifurcation and Chaos, 2009

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Global analysis of a piecewise linear Lienard-type dynamical system

Valery Gaiko

International Journal of Dynamical Systems and Differential Equations, 2009

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On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line

Rodrigo Euzebio

Journal of Mathematical Analysis and Applications, 2015

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Crossing limit cycles of planar discontinuous piecewise differential systems formed by isochronous centres

Yagor Romano Carvalho

Dynamical Systems

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On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry

Manuel Ordóñez, Enrique Ponce

Nonlinear Analysis: Real World Applications, 2013

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Limit Cycles of Continuous Piecewise Differential Systems Formed by Linear and Quadratic Isochronous Centers I

Bilal Ghermoul

International Journal of Bifurcation and Chaos, 2022

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On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems

Jaume Llibre

Applied Mathematics and Computation, 2015

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Regions of stability for limit cycles of piecewise linear systems

jorge goncalves

2003

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On the number of limit cycles in piecewise planar quadratic differential systems

Francisco Braun

arXiv (Cornell University), 2023

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About Limit Cycles in Continuous Piecewise Linear Differential Systems

Weber Pereira

2017

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On the limit cycles of a class of piecewise linear differential systems in with two zones

Joao Pedro Medrado

Mathematics and Computers in Simulation, 2011

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New Limit Cycle Bifurcations in 3D Piecewise Linear Systems

Enrique Ponce

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Hopf-like bifurcations in planar piecewise linear systems

Emilio Freire, Enrique Ponce

Publicacions Matemàtiques, 1997

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Limit cycles from a monodromic infinity in planar piecewise linear systems

Enrique Ponce

arXiv (Cornell University), 2020

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Limit cycles for two classes of control piecewise linear differential systems

Jaume Llibre

São Paulo Journal of Mathematical Sciences, 2020

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Three Limit Cycles in Discontinuous Piecewise Linear Differential Systems with Two Zones

Enrique Ponce

2015

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Uniqueness of limit cycles for sewing planar piecewise linear systems

Joao Pedro Medrado

Journal of Mathematical Analysis and Applications, 2015

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Existence of piecewise linear differential systems with exactly n limit cycles for all

Enrique Ponce

Nonlinear Analysis: Theory, Methods & Applications, 2003

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Periodic orbits for perturbations of piecewise linear systems

Emilio Freire

Journal of Differential Equations, 2011

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Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields

Jaume Llibre

Dynamical Systems, 2020

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Two Limit Cycles in Liénard Piecewise Linear Differential Systems

Enrique Ponce

Journal of Nonlinear Science, 2018

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On the fold-Hopf bifurcation for continuous piecewise linear differential systems with symmetry

Enrique Ponce

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2010

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

Weber Pereira

International Journal of Bifurcation and Chaos, 2015

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Article Topological Classification of Limit Cycles of Piecewise Smooth Dynamical Systems and Its Associated Non-Standard Bifurcations

Ivan Arango

2014

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Crossing limit cycles for a class of piecewise linear differential centers separated by a conic

johana jimenez

Electronic Journal of Differential Equations, 2020

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Lyapunov Functions in Piecewise Linear Systems: From Fixed Point to Limit Cycle

Yian Ma

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Canonical Discontinuous Planar Piecewise Linear Systems

Enrique Ponce

SIAM Journal on Applied Dynamical Systems, 2012

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Bifurcations of limit cycles in piecewise smooth Hamiltonian system with boundary perturbation

Krishnat Masalkar

arXiv: Dynamical Systems, 2019

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Piecewise linear differential systems with two real saddles

Joao Pedro Medrado

Mathematics and Computers in Simulation, 2014

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Limit cycles bifurcating from piecewise polynomial perturbations of higher dimensional linear differential systems

Jaume Llibre

2018

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On Double Boundary Equilibrium Bifurcations in Piecewise Smooth Planar Systems

Francisco Torres

Qualitative Theory of Dynamical Systems, 2011

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