Bifurcation of periodic orbits emanated from a vertex in discontinuous planar systems
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Publication:312851
DOI10.1016/j.cnsns.2013.05.012zbMath1344.37062OpenAlexW2026267947MaRDI QIDQ312851
Publication date: 9 September 2016
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2013.05.012
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Cites Work
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- Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system with a homoclinic loop
- On the number of limit cycles in general planar piecewise linear systems
- Bifurcation of a non-smooth planar limit cycle from a vertex
- Bifurcation and chaos in discontinuous and continuous systems
- Bifurcation from family of periodic orbits in discontinuous autonomous systems
- Perturbations and Hopf bifurcation of the planar discontinuous dynamical system
- Dynamics and bifurcations of non-smooth mechanical systems
- Bifurcations of equilibria in non-smooth continuous systems
- Jumps of the fundamental solution matrix in discontinuous systems and applications
- Bifurcation of periodic orbits in a class of planar Filippov systems
- On Hopf bifurcation in non-smooth planar systems
- On the bifurcation of periodic orbits in discontinuous systems
- Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
- On the expansion of solutions to differential equations with discontinuous right-hand side in a series in initial data and parameters
- On the smoothness of solutions of differential equations with a discontinuous right-hand side
- Non-smooth dynamical systems
- Generalized Hopf bifurcation emanated from a corner for piecewise smooth planar systems
- Bifurcation of sliding periodic orbits in periodically forced discontinuous systems
- On the origin and bifurcations of stick-slip oscillations
- Piecewise-smooth dynamical systems. Theory and applications
- Limit cycles near generalized homoclinic and double homoclinic loops in piecewise smooth systems
- Continuation of the periodic orbits for the differential equation with discontinuous right hand side
- Bifurcation phenomena in non-smooth dynamical systems
- Low-dimensional maps for piecewise smooth oscillators
- Principles of Discontinuous Dynamical Systems
- BIFURCATION OF LIMIT CYCLES BY PERTURBING PIECEWISE HAMILTONIAN SYSTEMS
- Bifurcations of Nonlinear Oscillations and Frequency Entrainment Near Resonance
- Center-Focus Problem for Discontinuous Planar Differential Equations
- SLIDING BIFURCATIONS: A NOVEL MECHANISM FOR THE SUDDEN ONSET OF CHAOS IN DRY FRICTION OSCILLATORS
- On normal form calculations in impact oscillators
- Control of near-grazing dynamics in impact oscillators
- Degenerate Hopf bifurcations in discontinuous planar systems
- Normal form maps for grazing bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems