Chaotic switching in driven-dissipative Bose-Hubbard dimers: when a flip bifurcation meets a T-point in \(\mathbb{R}^4 \)
DOI10.3934/dcdsb.2021217OpenAlexW3201598918MaRDI QIDQ2090343
Bernd Krauskopf, Neil G. R. Broderick, Andrus Giraldo
Publication date: 25 October 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.04694
global bifurcationschaotic attractorshomoclinic and heteroclinic tangenciesboundary value problem setupdegenerate singular cycles
Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Computational methods for bifurcation problems in dynamical systems (37M20) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Computational methods for invariant manifolds of dynamical systems (37M21)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Using Lin's method to solve Bykov's problems
- How to find a codimension-one heteroclinic cycle between two periodic orbits
- Global invariant manifolds in the transition to preturbulence in the Lorenz system
- The structure of symmetric attractors
- Symmetry restoration in a class of forced oscillators
- Lyapunov-Schmidt reduction for unfolding heteroclinic networks of equilibria and periodic orbits with tangencies
- Birth and death of the double scroll
- Symmetry-increasing bifurcation of chaotic attractors
- Symmetry increasing bifurcations via collisions of attractors
- Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model
- Homoclinic orbits near heteroclinic cycles with one equilibrium and one periodic orbit
- Symbolic Quest into Homoclinic Chaos
- Lorenz attractors in unfoldings of homoclinic-flip bifurcations
- Unfolding a Tangent Equilibrium-to-Periodic Heteroclinic Cycle
- Algorithm 924
- Symmetric chaos in systems of three and four forced oscillators
- A Lin's method approach to finding and continuing heteroclinic connections involving periodic orbits
- Computing Lyapunov spectra with continuous Gram - Schmidt orthonormalization
- A NUMERICAL TOOLBOX FOR HOMOCLINIC BIFURCATION ANALYSIS
- Cascades of Global Bifurcations and Chaos near a Homoclinic Flip Bifurcation: A Case Study
- An Open Systems Approach to Quantum Optics
- The Topology of Chaos
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- A planar model system for the saddle–node Hopf bifurcation with global reinjection
- Admissible symmetry increasing bifurcations
- KNEADINGS, SYMBOLIC DYNAMICS AND PAINTING LORENZ CHAOS
- Experimentally Accessible Orbits Near a Bykov Cycle
- Crises, sudden changes in chaotic attractors, and transient chaos
- Boundary crisis for degenerate singular cycles
- Nonlinear Dynamics and Quantum Chaos
- Saddle Invariant Objects and Their Global Manifolds in a Neighborhood of a Homoclinic Flip Bifurcation of Case B
- Elements of applied bifurcation theory
