Limit cycles created by piecewise linear centers

DOI10.1063/1.5086018zbMath1506.34047OpenAlexW2946518633WikidataQ92468464 ScholiaQ92468464MaRDI QIDQ5382851

Jaume Llibre, Xiang Zhang

Publication date: 18 June 2019

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/221334

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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)

Related Items

Limit Cycles in Discontinuous Piecewise Linear Planar Hamiltonian Systems Without Equilibrium Points, Limit cycles of a continuous piecewise differential system formed by a quadratic center and two linear centers, Impact limit cycles in the planar piecewise linear hybrid systems, Dynamical analysis in a piecewise smooth predator–prey model with predator harvesting, Limit cycles in the discontinuous planar piecewise linear systems with three zones, Limit Cycles in Discontinuous Planar Piecewise Linear Systems Separated by a Nonregular Line of Center–Center Type, A new Chebyshev criterion and its application to planar differential systems, The Extended 16th Hilbert Problem for Discontinuous Piecewise Linear Centers Separated by a Nonregular Line, On the limit cycles of the piecewise differential systems formed by a linear focus or center and a quadratic weak focus or center

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• New families of periodic orbits for a galactic potential
• Piecewise linear differential systems with only centers can create limit cycles?
• 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
• The sliding bifurcations in planar piecewise smooth differential systems
• Sur ĽintÉgration algÉbrique des Équations diffÉrentielles du premier ordre et du premier degrÉ
• On the fold-Hopf bifurcation for continuous piecewise linear differential systems with symmetry