The effect of state dependence in a delay differential equation model for the El Niño Southern Oscillation

DOI10.1098/rsta.2018.0121zbMath1462.86008OpenAlexW2963049825WikidataQ92068348 ScholiaQ92068348MaRDI QIDQ4993371

Henk A. Dijkstra, Bernd Krauskopf, Andrew Keane

Publication date: 15 June 2021

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

Full work available at URL: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6661334

zbMATH Keywords

delay differential equationscomputational mathematicsbifurcation analysisapplied mathematicsENSOclimatologyclimate modellingnon-constant delays

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Meteorology and atmospheric physics (86A10) Bifurcation theory of functional-differential equations (34K18) Climate science and climate modeling (86A08)

Related Items (5)

The role of conceptual models in climate research ⋮ Efficient reduction for diagnosing Hopf bifurcation in delay differential systems: Applications to cloud-rain models ⋮ Nonlinear dynamics of delay systems: an overview ⋮ Nonlinear effects of instantaneous and delayed state dependence in a delayed feedback loop ⋮ Bifurcation analysis of systems with delays: methods and their use in applications

Cites Work

• Unnamed Item
• Unnamed Item
• Periodic solutions of a singularly perturbed delay differential equation with two state-dependent delays
• Finding periodic orbits in state-dependent delay differential equations as roots of algebraic equations
• Mode structure of a semiconductor laser with feedback from two external filters
• A mathematical model of granulopoiesis incorporating the negative feedback dynamics and kinetics of G-CSF/neutrophil binding and internalization
• Stick balancing with reflex delay in case of parametric forcing
• Handbook of numerical analysis. Vol XIV. Special volume: Computational methods for the atmosphere and the oceans.
• State-dependent delay in regenerative turning processes
• Chaotic attractors of an infinite-dimensional dynamical system
• Singularities and groups in bifurcation theory. Volume II
• Uniqueness and nonuniqueness of periodic solutions of x'(t)= -g(x(t-1))
• Chaotic dynamics versus stochastic processes in El Niño-southern oscillation in coupled ocean-atmosphere models
• El Niño/southern oscillation and the annual cycle: Subharmonic frequency-locking and aperiodicity
• Uniqueness of the periodic solution for differential delay equations
• Stability and bifurcations in an epidemic model with varying immunity period
• Investigating Irregular Behavior in a Model for the El Nin͂o Southern Oscillation with Positive and Negative Delayed Feedback
• Bifurcation analysis of delay-induced resonances of the El-Niño Southern Oscillation
• Stability and Hopf Bifurcation for a Cell Population Model with State-Dependent Delay
• Dynamical Oceanography
• Subcritical Hopf bifurcations in a car-following model with reaction-time delay
• Characteristic Multipliers and Stability of Symmetric Periodic Solutions of . x   (t) = g(x(t - 1))
• Towards global models near homoclinic tangencies of dissipative diffeomorphisms
• Local bifurcations in differential equations with state-dependent delay
• Chenciner bubbles and torus break-up in a periodically forced delay differential equation
• Deterministic Nonperiodic Flow
• Mechanism of Synchronization in Frequency Dividers
• 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

This page was built for publication: The effect of state dependence in a delay differential equation model for the El Niño Southern Oscillation