Abundance of Infinite Switching
From MaRDI portal
Publication:6076412
DOI10.1137/22m151371xzbMath1527.37024arXiv2208.02085OpenAlexW4386289425MaRDI QIDQ6076412
Luísa Castro, Alexandre A. P. Rodrigues
Publication date: 21 September 2023
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.02085
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical aspects of attractors and their bifurcations (37G35) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Cites Work
- Unnamed Item
- Unnamed Item
- Repelling dynamics near a Bykov cycle
- Global generic dynamics close to symmetry
- Dense heteroclinic tangencies near a Bykov cycle
- Global bifurcations close to symmetry
- Chaotic switching in a two-person game
- Determining Lyapunov exponents from a time series
- The Sil'nikov problem, exponential expansion, strong \(\lambda\)-lemma, \(C^ 1\)-linearization, and homoclinic bifurcation
- A strange family of three-dimensional vector fields near a degenerate singularity
- From invariant curves to strange attractors
- Attractors for robust heteroclinic cycles with continua of connections
- Persistent switching near a heteroclinic model for the geodynamo problem
- Large strange attractors in the unfolding of a heteroclinic attractor
- Unfolding a Bykov attractor: from an attracting torus to strange attractors
- Hopf-zero singularities truly unfold chaos
- Spiralling dynamics near heteroclinic networks
- Switching in Heteroclinic Networks
- A mechanism for switching near a heteroclinic network
- Switching homoclinic networks
- A heteroclinic network in mode interaction with symmetry
- Corrigendum: Switching homoclinic networks
- Nonuniformly expanding 1D maps with logarithmic singularities
- On the Dynamics Near a Homoclinic Network to a Bifocus: Switching and Horseshoes
- Switching near a network of rotating nodes
- Towards global models near homoclinic tangencies of dissipative diffeomorphisms
- A competition between heteroclinic cycles
- Asymptotic stability of heteroclinic cycles in systems with symmetry
- Dynamics near a heteroclinic network
- Torus-Breakdown Near a Heteroclinic Attractor: A Case Study
- Is there switching without suspended horseshoes?
- Winnerless competition principle and prediction of the transient dynamics in a Lotka–Volterra model
- Regular and irregular cycling near a heteroclinic network
- Cocoon bifurcation in three-dimensional reversible vector fields
- On the origin of reproducible sequential activity in neural circuits