Crisis-induced unstable dimension variability in a dynamical system

DOI10.1016/J.PHYSLETA.2008.06.062zbMath1223.37043OpenAlexW2144203527MaRDI QIDQ641322

Geraldo T. Kubo, Celso Grebogi, Ricardo L. Viana, Sérgio Roberto Lopes

Publication date: 21 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.06.062

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (2)

The dynamical origin of the universality classes of spatiotemporal intermittency ⋮ Unstable dimension variability structure in the parameter space of coupled Hénon maps

Cites Work

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• Bubbling bifurcation: Loss of synchronization and shadowing breakdown in complex systems
• Numerical orbits of chaotic processes represent true orbits
• Periodic orbit analysis at the onset of the unstable dimension variability and at the blowout bifurcation
• PSEUDO-DETERMINISTIC CHAOTIC SYSTEMS
• Controlling chaotic dynamical systems

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