Investigating Irregular Behavior in a Model for the El Nin͂o Southern Oscillation with Positive and Negative Delayed Feedback

DOI10.1137/16M1063605zbMath1351.37270OpenAlexW2521017155MaRDI QIDQ2826306

Andrew Keane, Bernd Krauskopf, Claire M. Postlethwaite

Publication date: 14 October 2016

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

Full work available at URL: https://doi.org/10.1137/16m1063605

zbMATH Keywords

delay differential equationsbifurcation analysisclimate modelingENSO

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Meteorology and atmospheric physics (86A10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Computational methods for bifurcation problems in dynamical systems (37M20) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Related Items (6)

Local bifurcations in differential equations with state-dependent delay ⋮ Efficient reduction for diagnosing Hopf bifurcation in delay differential systems: Applications to cloud-rain models ⋮ Integral boundary value problem for intuitionistic fuzzy delay partial differential equations ⋮ Border-collision bifurcations in a driven time-delay system ⋮ The effect of state dependence in a delay differential equation model for the El Niño Southern Oscillation ⋮ Bifurcation analysis of systems with delays: methods and their use in applications

Uses Software

• DDE-BIFTOOL
• PDDE-CONT
• Knut

Cites Work

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• Finding periodic orbits in state-dependent delay differential equations as roots of algebraic equations
• Dynamics of a delay differential equation with multiple state-dependent delays
• Global Hopf bifurcation for differential equations with state-dependent delay
• Chaotic attractors of an infinite-dimensional dynamical system
• Uniqueness of solutions of state dependent delay differential equations
• Computing unstable manifolds of periodic orbits in delay differential equations
• A periodic solution of a differential equation with state-dependent delay
• Exponential stability of a state-dependent delay system
• Bifurcation analysis of delay-induced resonances of the El-Niño Southern Oscillation
• Delayed Feedback Versus Seasonal Forcing: Resonance Phenomena in an El Nin͂o Southern Oscillation Model
• Resonance Phenomena in a Scalar Delay Differential Equation with Two State-Dependent Delays
• Elements of applied bifurcation theory

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