Repelling dynamics near a Bykov cycle
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Publication:376303
DOI10.1007/s10884-013-9289-2zbMath1279.37023OpenAlexW2074811693MaRDI QIDQ376303
Publication date: 4 November 2013
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-013-9289-2
Periodic orbits of vector fields and flows (37C27) Generic properties, structural stability of dynamical systems (37C20) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
Related Items
Dissecting a resonance wedge on heteroclinic bifurcations, 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, On the Dynamics Near a Homoclinic Network to a Bifocus: Switching and Horseshoes, Strange attractors and wandering domains near a homoclinic cycle to a bifocus, Using Lin's method to solve Bykov's problems, Abundance of Infinite Switching, Experimentally Accessible Orbits Near a Bykov Cycle, Spiralling dynamics near heteroclinic networks, Dense heteroclinic tangencies near a Bykov cycle, Attractors in complex networks, Global bifurcations close to symmetry, Torus-Breakdown Near a Heteroclinic Attractor: A Case Study, The role of the saddle-foci on the structure of a Bykov attracting set, Moduli for heteroclinic connections involving saddle-foci and periodic solutions
Cites Work
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- Global generic dynamics close to symmetry
- Shil'nikov configurations in any generic unfolding of the nilpotent singularity of codimension three on \(\mathbb R^3\)
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- On the concept of attractor
- A horseshoe with positive measure
- Abundance of strange attractors
- Exotic attractors. From Liapunov stability to riddled basins
- T-points in a \(\mathbb Z_2\)-symmetric electronic oscillator. I: Analysis
- Persistent switching near a heteroclinic model for the geodynamo problem
- Chaotic double cycling
- On local attraction properties and a stability index for heteroclinic connections
- Periodic attractors, strange attractors and hyperbolic dynamics near homoclinic orbits to saddle-focus equilibria
- Stable and Random Motions in Dynamical Systems
- Switching near a network of rotating nodes
- Heteroclinic networks on the tetrahedron
- Asymptotic stability of heteroclinic cycles in systems with symmetry
- Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics
- Asymptotic stability of heteroclinic cycles in systems with symmetry. II
- SIMPLE VECTOR FIELDS WITH COMPLEX BEHAVIOR
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
