Parameter shifts for nonautonomous systems in low dimension: bifurcation- and rate-induced tipping
From MaRDI portal
Publication:5348102
DOI10.1088/1361-6544/aa675bzbMath1435.37104arXiv1506.07734OpenAlexW3104315032MaRDI QIDQ5348102
Clare Perryman, Sebastian Wieczorek, Peter Ashwin
Publication date: 14 August 2017
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.07734
Computational methods for bifurcation problems in dynamical systems (37M20) Nonautonomous smooth dynamical systems (37C60) Computational methods for attractors of dynamical systems (37M22)
Related Items
Rate-induced tipping from periodic attractors: Partial tipping and connecting orbits ⋮ Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems ⋮ Critical Transitions in d-Concave Nonautonomous Scalar Ordinary Differential Equations Appearing in Population Dynamics ⋮ A dynamical systems approach for most probable escape paths over periodic boundaries ⋮ Rate-induced tipping: thresholds, edge states and connecting orbits ⋮ Physical measures of asymptotically autonomous dynamical systems ⋮ Rate-Induced Tipping in Discrete-Time Dynamical Systems ⋮ Tipping in a low-dimensional model of a tropical cyclone ⋮ Early-warning indicators for rate-induced tipping ⋮ Computing the Stable Manifold of a Saddle Slow Manifold ⋮ Time-dependent saddle-node bifurcation: breaking time and the point of no return in a non-autonomous model of critical transitions ⋮ Early-warning signals for bifurcations in random dynamical systems with bounded noise ⋮ Inverse-square law between time and amplitude for crossing tipping thresholds ⋮ Basin bifurcations, oscillatory instability and rate-induced thresholds for Atlantic meridional overturning circulation in a global oceanic box model ⋮ On conditions for rate-induced tipping in multi-dimensional dynamical systems ⋮ Detecting and Predicting Tipping Points ⋮ Tipping Phenomena and Points of No Return in Ecosystems: Beyond Classical Bifurcations ⋮ Rate-Induced Tipping and Saddle-Node Bifurcation for Quadratic Differential Equations with Nonautonomous Asymptotic Dynamics ⋮ Effects of Periodic Forcing on a Paleoclimate Delay Model ⋮ Rethinking the definition of rate-induced tipping ⋮ Compactification for asymptotically autonomous dynamical systems: theory, applications and invariant manifolds ⋮ The theory of parallel climate realizations. A new framework of ensemble methods in a changing climate: an overview ⋮ Extreme sensitivity and climate tipping points ⋮ Rate-Induced Tipping Phenomena in Compartment Models of Epidemics ⋮ Estimating rate-induced tipping via asymptotic series and a Melnikov-like method*
This page was built for publication: Parameter shifts for nonautonomous systems in low dimension: bifurcation- and rate-induced tipping
