A Primer on Noise-Induced Transitions in Applied Dynamical Systems

DOI10.1137/17M1142028zbMath1408.37089arXiv1712.03785OpenAlexW3103420451WikidataQ128980675 ScholiaQ128980675MaRDI QIDQ4554910

Eric Forgoston, Richard O. Moore

Publication date: 12 November 2018

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03785

zbMATH Keywords

rare eventsstochasticityextinctionepidemiologyoptimal pathescapelarge deviation theorymean exit timemode-locked lasersnoise-induced transitionsbit error ratios

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Dynamical systems in biology (37N25) Applications of stochastic analysis (to PDEs, etc.) (60H30) Ecology (92D40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generation, random and stochastic difference and differential equations (37H10)

Related Items (20)

Noise-induced transition in the Zeldovich–Semenov model with local and global bifurcations ⋮ Extreme events in dynamical systems and random walkers: a review ⋮ Nonadiabatic escape and stochastic resonance ⋮ Most probable transition paths in piecewise-smooth stochastic differential equations ⋮ Parametric Resonance for Enhancing the Rate of Metastable Transition ⋮ Controlling mean exit time of stochastic dynamical systems based on quasipotential and machine learning ⋮ A dynamical systems approach for most probable escape paths over periodic boundaries ⋮ Optimal curing resource allocation for epidemic spreading processes ⋮ Two paradigmatic scenarios for inverse stochastic resonance ⋮ Slip Rates and Slip Modes in an Actively Mode-Locked Laser ⋮ Tipping in a low-dimensional model of a tropical cyclone ⋮ Using reservoir computer to predict and prevent extreme events ⋮ Noise-induced tipping under periodic forcing: Preferred tipping phase in a non-adiabatic forcing regime ⋮ Dynamics of a stochastic excitable system with slowly adapting feedback ⋮ Using control to shape stochastic escape and switching dynamics ⋮ Stochastic Sensitivity: A Computable Lagrangian Uncertainty Measure for Unsteady Flows ⋮ Self-induced stochastic resonance in an excitable potential well ⋮ Predicting critical transitions in multiscale dynamical systems using reservoir computing ⋮ Evolutionary coexistence in a metacommunity: competition-colonization trade-off, ownership effects, environmental fluctuations ⋮ Metastable transitions in inertial Langevin systems: What can be different from the overdamped case?

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