LIMIT CYCLES OF PIECEWISE LINEAR DYNAMICAL SYSTEMS WITH THREE ZONES AND LATERAL SYSTEMS

DOI10.11948/20180321zbMath1465.37029OpenAlexW2979413547MaRDI QIDQ5859427

Jiang Yu, Qianqian Zhao

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20180321

zbMATH Keywords

limit cycleNewton-Kantorovich theoremlateral systemsY-shape systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Generic properties, structural stability of dynamical systems (37C20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Stability theory for smooth dynamical systems (37C75)

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Limit Cycles in Discontinuous Piecewise Linear Planar Hamiltonian Systems Without Equilibrium Points ⋮ Existence of four-crossing-points limit cycles in planar sector-wise linear systems with saddle-saddle dynamics ⋮ Up to second order Melnikov functions for general piecewise Hamiltonian systems with nonregular separation line ⋮ Poincaré Maps of “ <”-Shape Planar Piecewise Linear Dynamical Systems with a Saddle ⋮ Limit Cycles in Discontinuous Planar Piecewise Linear Systems Separated by a Nonregular Line of Center–Center Type

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