Low-Dimensional Homoclinic Bifurcations of Repellers
From MaRDI portal
Publication:2930499
DOI10.1142/S0218127414500977zbMath1300.37036OpenAlexW2053658045MaRDI QIDQ2930499
Publication date: 19 November 2014
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127414500977
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)
Cites Work
- Critical homoclinic orbits lead to snap-back repellers
- Discrete chaos induced by heteroclinic cycles connecting repellers in Banach spaces
- Expanding maps on compact metric spaces
- Snap-back repellers imply chaos in \(\mathbb{R}^n\)
- An analogue to the Smale-Birkhoff homoclinic theorem for iterated entire mappings
- Homoclinic bifurcations of endomorphisms: The codimension one case
- Homoclinic bifurcations, fat attractors and invariant curves
- Generalized snap-back repeller and semi-conjugacy to shift operators of piecewise continuous transformations
- Chaos induced by regular snap-back repellers
- On redefining a snap-back repeller
- HETEROCLINICAL REPELLERS IMPLY CHAOS
- CHAOTIFICATION OF DISCRETE DYNAMICAL SYSTEMS IN BANACH SPACES
- BIFURCATIONS OF SNAP-BACK REPELLERS WITH APPLICATION TO BORDER-COLLISION BIFURCATIONS
- Homoclinic bifurcations in n-dimensional endomorphisms, due to expanding periodic points
This page was built for publication: Low-Dimensional Homoclinic Bifurcations of Repellers
