Analysis of an Arctic Sea Ice Loss Model in the Limit of a Discontinuous Albedo

DOI10.1137/15M1037718zbMath1353.37039arXiv1509.00059MaRDI QIDQ3188138

Dorian S. Abbot, Kaitlin Hill, Mary Silber

Publication date: 17 August 2016

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

Full work available at URL: https://arxiv.org/abs/1509.00059

zbMATH Keywords

ice-albedo feedbacknonsmooth dynamical systemarctic sea iceclimate tipping points

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Glaciology (86A40) Topological dynamics of nonautonomous systems (37B55)

Related Items (6)

Most probable transition paths in piecewise-smooth stochastic differential equations ⋮ Estimating the dynamics of systems with noisy boundaries ⋮ The tipping times in an Arctic sea ice system under influence of extreme events ⋮ Noise-induced tipping under periodic forcing: Preferred tipping phase in a non-adiabatic forcing regime ⋮ Non-smooth homoclinic bifurcation in a conceptual climate model ⋮ Discontinuity mappings for stochastic nonsmooth systems

Cites Work

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• One-Parameter Bifurcations in Planar Filippov Systems
• On the Use of Blowup to Study Regularizations of Singularities of Piecewise Smooth Dynamical Systems in $\mathbb{R}^3$
• Bifurcations in the Wilson--Cowan Equations with Nonsmooth Firing Rate

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