Periodic Orbits in a Second-Order Discontinuous System with an Elliptic Boundary

DOI10.1142/S0218127416502242zbMath1354.34035OpenAlexW2564554664MaRDI QIDQ2957310

Albert C. J. Luo, Liping Li

Publication date: 26 January 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127416502242

zbMATH Keywords

periodic orbit\(G\)-functiondiscontinuous systemelliptic boundary

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) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (8)

Discontinuous dynamics of an asymmetric 2-DOF friction oscillator with elastic and rigid impacts ⋮ A Parameter Study on Periodic Motions in a Discontinuous Dynamical System with Two Circular Boundaries ⋮ Slowly oscillating solutions in a class of second-order discontinuous delayed systems ⋮ Parametric excitation induced extreme events in MEMS and Liénard oscillator ⋮ On periodic solutions of a second-order, time-delayed, discontinuous dynamical system ⋮ On Periodic Solutions of a Time-Delayed, Discontinuous System with a Hyperbola Switching Control Law ⋮ On Existence and Bifurcations of Periodic Motions in Discontinuous Dynamical Systems ⋮ Sliding Bifurcation in Planar Piecewise Smooth Systems with Two Zones Separated by an Ellipse

Cites Work

• Local Langlands duality and a duality of conformal field theories
• Discontinuous dynamics of a non-linear, self-excited, friction-induced, periodically forced oscillator
• Generalized Hopf bifurcation for planar Filippov systems continuous at the origin
• Two-parameter sliding bifurcations of periodic solutions in a dry-friction oscillator
• On Hopf bifurcation in non-smooth planar systems
• On motions and switchability in a periodically forced, discontinuous system with a parabolic boundary
• Flow switchability and periodic motions in a periodically forced, discontinuous dynamical system
• Periodic solutions for second order differential equations with discontinuous restoring forces.
• Concurrent homoclinic bifurcation and Hopf bifurcation for a class of planar Filippov systems
• Two-parameter degenerate sliding bifurcations in Filippov systems
• Sliding Motions on a Periodically Time-varying Boundary for a Friction-induced Oscillator
• The mapping dynamics of periodic motions for a three-piecewise linear system under a periodic excitation
• Imaginary, sink and source flows in the vicinity of the separatrix of non-smooth dynamic systems
• Stick and non-stick periodic motions in periodically forced oscillators with dry friction
• ON FLOW BARRIERS AND SWITCHABILITY IN DISCONTINUOUS DYNAMICAL SYSTEMS
• An Analytical Approach to Codimension-2 Sliding Bifurcations in the Dry-Friction Oscillator
• SLIDING BIFURCATIONS: A NOVEL MECHANISM FOR THE SUDDEN ONSET OF CHAOS IN DRY FRICTION OSCILLATORS
• DYNAMICS OF A HARMONICALLY EXCITED OSCILLATOR WITH DRY-FRICTION ON A SINUSOIDALLY TIME-VARYING, TRAVELING SURFACE
• Bifurcations in nonlinear discontinuous systems

This page was built for publication: Periodic Orbits in a Second-Order Discontinuous System with an Elliptic Boundary