Border-collision bifurcations from stable fixed points to any number of coexisting chaotic attractors
From MaRDI portal
Publication:6192996
DOI10.1080/10236198.2023.2265495arXiv2207.10251OpenAlexW4387500218MaRDI QIDQ6192996
Publication date: 12 March 2024
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.10251
Dynamical aspects of attractors and their bifurcations (37G35) Bifurcation theory for difference equations (39A28)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Occurrence of multiple attractor bifurcations in the two-dimensional piecewise linear normal form map
- Dynamics and bifurcations of non-smooth mechanical systems
- Explicit renormalisation in piecewise linear bimodal maps
- Strange attractors in the orientation-preserving Lozi map
- On unimodal linear transformations and chaos. II
- Border-collision bifurcations including ``period two to period three for piecewise smooth systems
- Absolutely continuous invariant measures for piecewise real-analytic expanding maps on the plane
- Renormalization of two-dimensional piecewise linear maps: abundance of 2-D strange attractors
- A simple influenza model with complicated dynamics
- Absolutely continuous invariant measures for multidimensional expanding maps
- Piecewise-smooth dynamical systems. Theory and applications
- Delay equations with rapidly oscillating stable periodic solutions
- Border-Collision Bifurcations in $\mathbb{R}^N$
- Scaling Laws for Large Numbers of Coexisting Attracting Periodic Solutions in the Border-Collision Normal Form
- Chaos on the Interval
- Sequences of Periodic Solutions and Infinitely Many Coexisting Attractors in the Border-Collision Normal Form
- Bifurcation from stable fixed point toN-dimensional attractor in the border collision normal form
- Bowen-Ruelle Measures for Certain Piecewise Hyperbolic Maps
- Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation
- CENTER BIFURCATION FOR TWO-DIMENSIONAL BORDER-COLLISION NORMAL FORM
- Neimark–Sacker Bifurcations in Planar, Piecewise-Smooth, Continuous Maps
- Arnol$'$d Tongues Arising from a Grazing-Sliding Bifurcation
- BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
- CYCLES OF CHAOTIC INTERVALS IN A TIME-DELAYED CHUA'S CIRCUIT
- Absolutely continuous invariant probability measures for arbitrary expanding piecewise $\mathbb{R}$-analytic mappings of the plane
- Absolutely continuous invariant measures for most piecewise smooth expanding maps
- Crises, sudden changes in chaotic attractors, and transient chaos
- A String of Pearls: Proofs of Fermat's Little Theorem
- Coexistence of Two-Dimensional Attractors in Border Collision Normal Form
- Multistability and arithmetically period-adding bifurcations in piecewise smooth dynamical systems
- Shift Register Sequences
- ABSOLUTELY CONTINUOUS INVARIANT MEASURES FOR GENERIC MULTI-DIMENSIONAL PIECEWISE AFFINE EXPANDING MAPS
- Absolutely continuous invariant measures for expanding piecewise linear maps
- Strange attractors with one direction of instability
