scientific article; zbMATH DE number 7168196

zbMath1440.34032MaRDI QIDQ5216354

Xiang Zhang, Joan Torregrosa, Armengol Gasull

Publication date: 17 February 2020

Full work available at URL: https://ejde.math.txstate.edu/Volumes/2020/19/abstr.html#latest

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zbMATH Keywords

limit cyclepiecewise linear differential systemECT-systemalgebraic separation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Linear ordinary differential equations and systems (34A30) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (8)

The Exact Bound of the Number of Limit Cycles Bifurcating from the Global Nilpotent Center with a Nonlinear Switching Curve ⋮ On the number of limit cycles bifurcating from the linear center with an algebraic switching curve ⋮ On the number of limit cycles bifurcating from the linear center with a cubic switching curve ⋮ Impact limit cycles in the planar piecewise linear hybrid systems ⋮ Limit cycles in the discontinuous planar piecewise linear systems with three zones ⋮ Some open problems in low dimensional dynamical systems ⋮ On the Hilbert number for piecewise linear vector fields with algebraic discontinuity set ⋮ Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries

Cites Work

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• Piecewise linear perturbations of a linear center
• Averaging theory of arbitrary order for piecewise smooth differential systems and its application
• Piecewise-smooth dynamical systems. Theory and applications
• Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold
• More Than Three Limit Cycles in Discontinuous Piecewise Linear Differential Systems with Two Zones in the Plane
• A Simple Solution to the Braga–Mello Conjecture

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