Periodic orbits for planar piecewise smooth systems with a line of discontinuity

DOI10.1007/s10884-014-9380-3zbMath1320.34063OpenAlexW2160510685MaRDI QIDQ487954

Cinzia Elia, Luca Dieci

Publication date: 23 January 2015

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-014-9380-3

zbMATH Keywords

periodic orbitsbifurcationHopfpiecewise smooth systemsFilippov

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29) Discontinuous ordinary differential equations (34A36) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items

Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems, Periodic orbits of planar discontinuous system under discretization, On some properties of solutions of switched differential equations, Master stability function for piecewise smooth Filippov networks, Rigorous numerics for piecewise-smooth systems: a functional analytic approach based on Chebyshev series, Limit cycle bifurcations for piecewise smooth integrable differential systems, Traveling wave oscillatory patterns in a signed Kuramoto-Sivashinsky equation with absorption, Periodic orbits for double regularization of piecewise smooth systems with a switching manifold of codimension two, Limit Cycles and Bifurcations in a Class of Discontinuous Piecewise Linear Systems, Sliding Bifurcation in Planar Piecewise Smooth Systems with Two Zones Separated by an Ellipse

Cites Work

• Unnamed Item
• Generic bifurcations of low codimension of planar Filippov systems
• Fundamental matrix solutions of piecewise smooth differential systems
• Calculation of Lyapunov exponents for dynamic systems with discontinuities.
• Generalized Hopf bifurcation for planar Filippov systems continuous at the origin
• Bifurcations of equilibria in non-smooth continuous systems
• Bifurcation of periodic orbits in a class of planar Filippov systems
• The sliding bifurcations in planar piecewise smooth differential systems
• ON THE SLIDING BIFURCATION OF A CLASS OF PLANAR FILIPPOV SYSTEMS
• Generalized Hopf bifurcation for non-smooth planar systems
• One-Parameter Bifurcations in Planar Filippov Systems