Rate-Induced Tipping in Discrete-Time Dynamical Systems

DOI10.1137/19M1276297zbMath1445.37016arXiv1907.11601WikidataQ113779088 ScholiaQ113779088MaRDI QIDQ5114420

Claire Kiers

Publication date: 23 June 2020

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.11601

zbMATH Keywords

mapstransitionstime-dependent parameterstipping

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Stability theory for difference equations (39A30) Applications of difference equations (39A60)

Related Items (4)

Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System ⋮ Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies ⋮ Rethinking the definition of rate-induced tipping ⋮ Estimating rate-induced tipping via asymptotic series and a Melnikov-like method*

Cites Work

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• Multiple time scale dynamics
• On conditions for rate-induced tipping in multi-dimensional dynamical systems
• Excitability in ramped systems: the compost-bomb instability
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• Early-warning indicators for rate-induced tipping
• A Fast Method for Approximating Invariant Manifolds
• Discrete-Time Nonautonomous Dynamical Systems
• Parameter shifts for nonautonomous systems in low dimension: bifurcation- and rate-induced tipping

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