On conditions for rate-induced tipping in multi-dimensional dynamical systems

DOI10.1007/s10884-019-09730-9zbMath1472.37029arXiv1810.02808OpenAlexW2895147355WikidataQ113901167 ScholiaQ113901167MaRDI QIDQ2297226

Christopher K. R. T. Jones, Claire Kiers

Publication date: 18 February 2020

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.02808

zbMATH Keywords

loss of stabilitytransitionstime-dependent parameterstipping

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stability theory for smooth dynamical systems (37C75) Monotone flows as dynamical systems (37C65)

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Cites Work

• The Lorenz equations: bifurcations, chaos, and strange attractors
• Excitability in ramped systems: the compost-bomb instability
• Mathematical Systems Theory I
• Global organization of phase space in the transition to chaos in the Lorenz system
• Rate-induced tipping from periodic attractors: Partial tipping and connecting orbits
• Parameter shifts for nonautonomous systems in low dimension: bifurcation- and rate-induced tipping
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