Intermingled basins of attraction: uncomputability in a simple physical system

DOI10.1016/0375-9601(96)00165-XzbMath0972.37550OpenAlexW2060226224MaRDI QIDQ1967873

Edward Ott, John C. Sommerer

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(96)00165-x

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10)

Related Items

Geometrical and topological aspects of electrostatics on Riemannian manifolds, Riddled basins of attraction in systems exhibiting extreme events, Intermittent large deviation of chaotic trajectory in Ikeda map: Signature of extreme events, Riddled basins of coupled elastic arches, Methodology of the construction of computational scenarios for modeling extreme states in living systems, Noise and multistability in the square root map, Dynamics with riddled basins of attraction in models of interacting populations, Undecidability in Rⁿ: Riddled Basins, the KAM Tori, and the Stability of the Solar System, Computing the uncomputable; or, the discrete charm of second-order simulacra, Classifying basins of attraction using the basin entropy, Three concepts of decidability for general subsets of uncountable spaces

Cites Work

• On the concept of attractor
• The transition to chaotic attractors with riddled basins
• Bubbling of attractors and synchronisation of chaotic oscillators
• Symmetry breaking bifurcation for coupled chaotic attractors
• Open sets of diffeomorphisms having two attractors, each with an everywhere dense basin
• RIDDLED BASINS
• Transition to chaos for random dynamical systems
• Scaling behavior of chaotic systems with riddled basins
• Generalized shifts: unpredictability and undecidability in dynamical systems