Dissecting a resonance wedge on heteroclinic bifurcations
DOI10.1007/s10955-021-02811-4zbMath1479.34079arXiv2012.12954OpenAlexW3194490310MaRDI QIDQ820875
Publication date: 28 September 2021
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.12954
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Invariant manifolds for ordinary differential equations (34C45) Ordinary differential equations and systems on manifolds (34C40) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
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Cites Work
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- Torus bifurcations in a mechanical system
- Repelling dynamics near a Bykov cycle
- Using Lin's method to solve Bykov's problems
- Dense heteroclinic tangencies near a Bykov cycle
- Dynamics of homoclinic tangles in periodically perturbed second-order equations
- Takens' last problem and existence of non-trivial wandering domains
- Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Bifurcations of circle maps: Arnol'd tongues, bistability and rotation intervals
- On systems with separatrix contour containing two saddle-foci.
- The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
- Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
- Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study
- Local birth of homoclinic chaos
- Merging of resonance tongues
- Abundance of strange attractors
- From invariant curves to strange attractors
- Quasiattractors and homoclinic tangencies
- Attractors for robust heteroclinic cycles with continua of connections
- Rotation intervals and entropy on attracting annular continua
- Sur les courbes definies par les équations différentielles à la surface du tore
- Melnikov's method and codimension-two bifurcations in forced oscillations
- Persistent switching near a heteroclinic model for the geodynamo problem
- Unfolding a Bykov attractor: from an attracting torus to strange attractors
- Strange attractors and wandering domains near a homoclinic cycle to a bifocus
- Bifurcations from an attracting heteroclinic cycle under periodic forcing
- Hopf-zero singularities truly unfold chaos
- Computer assisted proofs of two-dimensional attracting invariant tori for ODEs
- Bifurcations of quasi-periodic dynamics: torus breakdown
- On the nature of turbulence
- Repeated Resonance and Homoclinic Bifurcation in a Periodically Forced Family of Oscillators
- The necessity of the Hopf bifurcation for periodically forced oscillators
- The effect of symmetry breaking on the dynamics near a structurally stable heteroclinic cycle between equilibria and a periodic orbit
- ON SYSTEMS WITH A SADDLE-FOCUS HOMOCLINIC CURVE
- Resonance regions for families of torus maps
- Invariant two-dimensional tori, their breakdown and stochasticity
- Towards global models near homoclinic tangencies of dissipative diffeomorphisms
- Bananas and Banana Splits: A Parametric Degeneracy in the Hopf Bifurcation for Maps
- BIFURCATION AND PREDICTABILITY ANALYSIS OF A LOW-ORDER ATMOSPHERIC CIRCULATION MODEL
- THE BOGDANOV MAP: BIFURCATIONS, MODE LOCKING, AND CHAOS IN A DISSIPATIVE SYSTEM
- Lighting Arnold flames: resonance in doubly forced periodic oscillators
- Dynamics near a heteroclinic network
- ON SOME MATHEMATICAL TOPICS IN CLASSICAL SYNCHRONIZATION.: A TUTORIAL
- Confirmation of the Afraimovich-Shilnikov torus-breakdown theorem via a torus circuit
- Torus-Breakdown Near a Heteroclinic Attractor: A Case Study
- Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms
- CHAOTIC BEHAVIOR OF THREE COMPETING SPECIES OF MAY–LEONARD MODEL UNDER SMALL PERIODIC PERTURBATIONS
- TAKENS–BOGDANOV BIFURCATIONS OF PERIODIC ORBITS AND ARNOLD'S TONGUES IN A THREE-DIMENSIONAL ELECTRONIC MODEL
- Invariant manifolds
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