Limit cycles in Filippov systems having a circle as switching manifold

DOI10.1063/5.0082607MaRDI QIDQ6563613

Jaume Llibre, Marco Antonio Teixeira

Publication date: 27 June 2024

Published in: Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Qualitative theory for ordinary differential equations (34Cxx) General theory for ordinary differential equations (34Axx) Local and nonlocal bifurcation theory for dynamical systems (37Gxx)

Cites Work

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• Maximum number of limit cycles for certain piecewise linear dynamical systems
• Piecewise linear perturbations of a linear center
• On the number of limit cycles in general planar piecewise linear systems
• On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
• The discontinuous matching of two planar linear foci can have three nested crossing limit cycles
• Limit cycles of differential equations
• On Hopf bifurcation in non-smooth planar systems
• The qualitative analysis of a class of planar Filippov systems
• Limit cycles for discontinuous quadratic differential switching systems
• Piecewise linear differential systems with only centers can create limit cycles?
• On the number of limit cycles in general planar piecewise linear systems of node-node types
• Piecewise linear differential systems with two real saddles
• Existence of limit cycles in general planar piecewise linear systems of saddle-saddle dynamics
• A general mechanism to generate three limit cycles in planar Filippov systems with two zones
• Piecewise-smooth dynamical systems. Theory and applications
• Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane
• On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry
• LOWER BOUNDS FOR THE MAXIMUM NUMBER OF LIMIT CYCLES OF DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH A STRAIGHT LINE OF SEPARATION
• More Than Three Limit Cycles in Discontinuous Piecewise Linear Differential Systems with Two Zones in the Plane
• Limit Cycles Bifurcating from the Periodic Orbits of a Discontinuous Piecewise Linear Differentiable Center with Two Zones
• Centennial History of Hilbert's 16th Problem
• Limit Cycles for Discontinuous Planar Piecewise Linear Differential Systems Separated by an Algebraic Curve
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
• PIECEWISE LINEAR FEEDBACK SYSTEMS WITH ARBITRARY NUMBER OF LIMIT CYCLES
• A Simple Solution to the Braga–Mello Conjecture
• Canonical Discontinuous Planar Piecewise Linear Systems

Related Items (3)

Four limit cycles of three-dimensional discontinuous piecewise differential systems having a sphere as switching manifold ⋮ Beyond the Bristol book: advances and perspectives in non-smooth dynamics and applications ⋮ Results about structural stability and the existence of limit cycles for piecewise smooth linear differential equations separated by the unit circle

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