Global bifurcations close to symmetry
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Publication:530348
DOI10.1016/j.jmaa.2016.06.032zbMath1364.37115arXiv1504.01659OpenAlexW2962911546MaRDI QIDQ530348
Alexandre A. P. Rodrigues, Isabel Salgado Labouriau
Publication date: 29 July 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.01659
Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)
Related Items (9)
Dynamics of conservative Bykov cycles: tangencies, generalized Cocoon bifurcations and elliptic solutions ⋮ Large strange attractors in the unfolding of a heteroclinic attractor ⋮ Unfolding a Bykov attractor: from an attracting torus to strange attractors ⋮ Strange attractors and wandering domains near a homoclinic cycle to a bifocus ⋮ Abundance of Infinite Switching ⋮ Experimentally Accessible Orbits Near a Bykov Cycle ⋮ Dense heteroclinic tangencies near a Bykov cycle ⋮ The role of the saddle-foci on the structure of a Bykov attracting set ⋮ Shift dynamics near non-elementary T-points with real eigenvalues
Cites Work
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- Moduli for heteroclinic connections involving saddle-foci and periodic solutions
- Dynamics of conservative Bykov cycles: tangencies, generalized Cocoon bifurcations and elliptic solutions
- Repelling dynamics near a Bykov cycle
- About the unfolding of a Hopf-zero singularity
- Using Lin's method to solve Bykov's problems
- On the effect of invisibility of stable periodic orbits at homoclinic bifurcations
- Global generic dynamics close to symmetry
- Dense heteroclinic tangencies near a Bykov cycle
- Exponential expansion with Šil'nikov's saddle-focus
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry
- T-points: A codimension two heteroclinic bifurcation
- On systems with separatrix contour containing two saddle-foci.
- The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
- Infinitely many coexisting strange attractors
- Chaos in a low-order model of magnetoconvection
- The bifurcations of separatrix contours and chaos
- On models with non-rough Poincaré homoclinic curves
- Abundance of strange attractors
- Quasiattractors and homoclinic tangencies
- Explosions of chaotic sets
- Persistent switching near a heteroclinic model for the geodynamo problem
- Diffeomorphisms with infinitely many sinks
- Spiralling dynamics near heteroclinic networks
- Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in \(\mathbb R^3\)
- Existence of generic cubic homoclinic tangencies for Hénon maps
- Partial Symmetry Breaking and Heteroclinic Tangencies
- Cascades of period-doubling bifurcations: A prerequisite for horseshoes
- The effect of symmetry breaking on the dynamics near a structurally stable heteroclinic cycle between equilibria and a periodic orbit
- Switching near a network of rotating nodes
- ON SYSTEMS WITH A SADDLE-FOCUS HOMOCLINIC CURVE
- Asymptotic stability of heteroclinic cycles in systems with symmetry
- Generic multiparameter bifurcation from a manifold
- Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits
- ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. II
- Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps
- Cocoon bifurcation in three-dimensional reversible vector fields
- SIMPLE VECTOR FIELDS WITH COMPLEX BEHAVIOR
- ON A POINCARÉ-BIRKHOFF PROBLEM
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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