Basin bifurcations, oscillatory instability and rate-induced thresholds for Atlantic meridional overturning circulation in a global oceanic box model

DOI10.1098/rspa.2019.0051zbMath1472.86003arXiv1901.10111OpenAlexW3106288355WikidataQ93002009 ScholiaQ93002009MaRDI QIDQ5160672

Hassan M. Alkhayuon, Courtney Quinn, Richard A. Wood, Laura C. Jackson, Peter Ashwin

Publication date: 29 October 2021

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.10111

zbMATH Keywords

oceanographydifferential equationsapplied mathematicsAtlantic meridional overturning circulationocean heattransportrate-induced tipping point

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05)

Related Items (10)

Critical Transitions in d-Concave Nonautonomous Scalar Ordinary Differential Equations Appearing in Population Dynamics ⋮ Bifurcation analysis of a north Atlantic Ocean box model with two deep-water formation sites ⋮ Rate-induced tipping: thresholds, edge states and connecting orbits ⋮ Reduction methods in climate dynamics -- a brief review ⋮ Limits to predictability of the asymptotic state of the Atlantic meridional overturning circulation in a conceptual climate model ⋮ The role of conceptual models in climate research ⋮ 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 ⋮ Compactification for asymptotically autonomous dynamical systems: theory, applications and invariant manifolds ⋮ Estimating rate-induced tipping via asymptotic series and a Melnikov-like method*

Cites Work

• Multiple time scale dynamics
• Experimental mathematics: dependence of the stability properties of a two-dimensional model of the Atlantic Ocean circulation on the boundary conditions
• Elements of applied bifurcation theory.
• Local bifurcations and a survey of bounded quadratic systems
• Piecewise-smooth dynamical systems. Theory and applications
• Nonlinear Climate Dynamics
• Simulating, Analyzing, and Animating Dynamical Systems
• Rate-induced tipping from periodic attractors: Partial tipping and connecting orbits
• Early-warning indicators for rate-induced tipping
• Recipes for Continuation
• Inverse-square law between time and amplitude for crossing tipping thresholds
• Boundary-equilibrium bifurcations in piecewise-smooth slow-fast systems
• Parameter shifts for nonautonomous systems in low dimension: bifurcation- and rate-induced tipping

This page was built for publication: Basin bifurcations, oscillatory instability and rate-induced thresholds for Atlantic meridional overturning circulation in a global oceanic box model