Unfolding the fold-Hopf bifurcation in piecewise linear continuous differential systems with symmetry
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Publication:1950230
DOI10.1016/j.physd.2013.01.010zbMath1268.37073OpenAlexW2004915776MaRDI QIDQ1950230
Javier Ros, Elísabet Vela, Enrique Ponce
Publication date: 10 May 2013
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2013.01.010
Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
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Cites Work
- Unnamed Item
- Generalized Hopf bifurcation for planar Filippov systems continuous at the origin
- The continuous matching of two stable linear systems can be unstable
- Invariant cones for non-smooth dynamical systems
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Singularities and groups in bifurcation theory. Volume II
- Piecewise-smooth dynamical systems. Theory and applications
- Discontinuity-induced bifurcations of equilibria in piecewise-smooth and impacting dynamical systems
- ON PERIODIC ORBITS OF 3D SYMMETRIC PIECEWISE LINEAR SYSTEMS WITH REAL TRIPLE EIGENVALUES
- Negative resistance devices
- Generalized Hopf bifurcation for non-smooth planar systems
- Invariant manifolds of periodic orbits for piecewise linear three-dimensional systems
- Three steps to chaos. II. A Chua's circuit primer
- A universal circuit for studying and generating chaos. I. Routes to chaos
- On the fold-Hopf bifurcation for continuous piecewise linear differential systems with symmetry
- The Focus-Center-Limit Cycle Bifurcation in Symmetric 3D Piecewise Linear Systems
- On simplifying and classifying piecewise-linear systems
- LIMIT CYCLE BIFURCATION FROM CENTER IN SYMMETRIC PIECEWISE-LINEAR SYSTEMS
- BIFURCATION OF INVARIANT CONES IN PIECEWISE LINEAR HOMOGENEOUS SYSTEMS
- Elements of applied bifurcation theory
- Degenerate Hopf bifurcations in discontinuous planar systems
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