Coexistence of infinitely many attractors in a simple flow
DOI10.1016/S0167-2789(97)00067-5zbMath0925.58049OpenAlexW2040679063MaRDI QIDQ5906829
Publication date: 18 November 1997
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00067-5
hierarchical structureheteroclinic networkfractal basin boundarieschaotic attractors coexistencegame dynamics systems
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Population dynamics (general) (92D25) Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- On the concept of attractor
- Hyperbolicity and the creation of homoclinic orbits
- Evolutionarily stable strategies and game dynamics
- The transition to chaotic attractors with riddled basins
- The dynamics of \(n\) weakly coupled identical oscillators
- Oscillatory convection in a rotating layer
- Lotka-Volterra equation and replicator dynamics: New issues in classification
- Diffeomorphisms with infinitely many sinks
- Structurally stable heteroclinic cycles
- On the occurrence of limit cycles in the Volterra-Lotka equation
- An example of a nonasymptotically stable attractor
- Symmetry breaking bifurcation for coupled chaotic attractors
- Time Averages for Heteroclinic Attractors
- Nonlinear Aspects of Competition Between Three Species
- Heteroclinic networks on the tetrahedron
- RIDDLED BASINS
- CYCLING CHAOS
- Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits
- Persistence of cycles and nonhyperbolic dynamics at heteroclinic bifurcations
This page was built for publication: Coexistence of infinitely many attractors in a simple flow