OBSTRUCTION TO DETERMINISTIC MODELING OF CHAOTIC SYSTEMS WITH AN INVARIANT SUBSPACE

DOI10.1142/S0218127400000487zbMath1090.37522OpenAlexW2058353775MaRDI QIDQ5474080

Celso Grebogi, Ying-Cheng Lai

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127400000487

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Unstable dimension variability and codimension-one bifurcations of two-dimensional maps ⋮ Bubbling bifurcation: Loss of synchronization and shadowing breakdown in complex systems ⋮ RIDDLED BASINS AND UNSTABLE DIMENSION VARIABILITY IN CHAOTIC SYSTEMS WITH AND WITHOUT SYMMETRY

Cites Work

• A two-dimensional mapping with a strange attractor
• \(\omega\)-limit sets for axiom A diffeomorphisms
• Bubbling of attractors and synchronisation of chaotic oscillators
• Numerical orbits of chaotic processes represent true orbits
• From attractor to chaotic saddle: a tale of transverse instability
• Shadowing of physical trajectories in chaotic dynamics: Containment and refinement