Tipping Phenomena and Points of No Return in Ecosystems: Beyond Classical Bifurcations

DOI10.1137/19M1242884zbMath1467.37091arXiv1902.01796WikidataQ113268741 ScholiaQ113268741MaRDI QIDQ4983510

Sebastian Wieczorek, Paul E. O'Keeffe

Publication date: 20 April 2021

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

Full work available at URL: https://arxiv.org/abs/1902.01796

zbMATH Keywords

bifurcationBogdanov-Takens bifurcationecologytipping pointsbasin instabilitymaximal canardstipping diagrams

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ecology (92D40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Canard solutions to ordinary differential equations (34E17)

Related Items

Most probable transition paths in piecewise-smooth stochastic differential equations ⋮ Correlation lags give early warning signals of approaching bifurcations ⋮ Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems ⋮ Variation in environmental stochasticity dramatically affects viability and extinction time in a predator-prey system with high prey group cohesion ⋮ Critical Transitions in d-Concave Nonautonomous Scalar Ordinary Differential Equations Appearing in Population Dynamics ⋮ Rate-induced tipping: thresholds, edge states and connecting orbits ⋮ Fractional-order PID control of tipping in network congestion ⋮ Tipping in a low-dimensional model of a tropical cyclone ⋮ Biome stability and fragmentation under critical environmental temperature change ⋮ Rethinking the definition of rate-induced tipping ⋮ Compactification for asymptotically autonomous dynamical systems: theory, applications and invariant manifolds ⋮ Estimating rate-induced tipping via asymptotic series and a Melnikov-like method*

Uses Software

• AUTO
• AUTO-07P

Cites Work

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