Global unpredictability in nonlinear dynamics: capture, dispersal and the indeterminate bifurcations

DOI10.1016/0167-2789(92)90114-3zbMath1194.37145OpenAlexW2103801917MaRDI QIDQ994955

J. M. T. Thompson

Publication date: 13 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(92)90114-3

Mathematics Subject Classification ID

Time series analysis of dynamical systems (37M10)

Related Items (5)

Modifying fractal basin boundaries by reshaping periodic terms ⋮ Controlling systems that drift through a tipping point ⋮ Michael Thompson: his seminal contributions to nonlinear dynamics -- and beyond ⋮ PREDICTING CLIMATE TIPPING AS A NOISY BIFURCATION: A REVIEW ⋮ Chaos in mechanical systems -- a review

Cites Work

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• Bifurcation and catastrophe theory
• Indeterminate jumps to resonance from a tangled saddle-node bifurcation
• Lobe dynamics and the escape from a potential well
• Birkhoff signature change: a criterion for the instability of chaotic resonance
• Shadowing of physical trajectories in chaotic dynamics: Containment and refinement

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