Articles | Volume 15, issue 3
https://doi.org/10.5194/npg-15-417-2008
© Author(s) 2008. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
Special issue:
https://doi.org/10.5194/npg-15-417-2008
© Author(s) 2008. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
28 May 2008
A delay differential model of ENSO variability: parametric instability and the distribution of extremes
M. Ghil
Dépt. Terre-Atmosphère-Océan and Laboratoire de Météorologie Dynamique, Ecole Normale Supérieure, Paris, France
Dept. of Atmospheric and Oceanic Sciences and Institute of Geophysics and Planetary Physics, University of California Los Angeles, CA, USA
I. Zaliapin
Dept. of Mathematics and Statistics, University of Nevada, Reno, NV, USA
S. Thompson
Dept. of Mathematics and Statistics, University of Radford, VA, USA
Viewed
Total article views: 2,461 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 01 Feb 2013)
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 1,238 | 1,079 | 144 | 2,461 | 155 | 131 |
- HTML: 1,238
- PDF: 1,079
- XML: 144
- Total: 2,461
- BibTeX: 155
- EndNote: 131
Cited
40 citations as recorded by crossref.
- Modelling chaotic dynamical attractor with fractal-fractional differential operators S. Jain & Y. El-Khatib 10.3934/math.2021795
- ENSO dynamics: Low‐dimensional‐chaotic or stochastic? T. Živković & K. Rypdal 10.1002/jgrd.50190
- Efficient reduction for diagnosing Hopf bifurcation in delay differential systems: Applications to cloud-rain models M. Chekroun et al. 10.1063/5.0004697
- Climate models with delay differential equations A. Keane et al. 10.1063/1.5006923
- Effective reduced models from delay differential equations: Bifurcations, tipping solution paths, and ENSO variability M. Chekroun & H. Liu 10.1016/j.physd.2024.134058
- Can Signal Delay be Functional? Including Delay in Evolved Robot Controllers M. Egbert et al. 10.1162/artl_a_00299
- A model of predator-prey differential equation with time delay H. ‘Arifah & K. Krisnawan 10.1088/1742-6596/1320/1/012001
- Oscillations in a simple climate–vegetation model J. Rombouts & M. Ghil 10.5194/npg-22-275-2015
- Inclusion of periodic solutions for forced delay differential equation modeling El Niño S. Oishi & K. Sekine 10.1587/nolta.12.575
- Predicting Critical Transitions in ENSO Models. Part I: Methodology and Simple Models with Memory D. Mukhin et al. 10.1175/JCLI-D-14-00239.1
- Border-collision bifurcations in a driven time-delay system P. Ryan et al. 10.1063/1.5119982
- Signatures Consistent with Multifrequency Tipping in the Atlantic Meridional Overturning Circulation A. Keane et al. 10.1103/PhysRevLett.125.228701
- Synchronization of two coupled multimode oscillators with time-delayed feedback Y. Emelianova et al. 10.1016/j.cnsns.2014.03.031
- Laminar chaos in experiments and nonlinear delayed Langevin equations: A time series analysis toolbox for the detection of laminar chaos D. Müller-Bender et al. 10.1103/PhysRevE.101.032213
- Influence of environmental variables on leaf area index in loblolly pine plantations S. Kinane et al. 10.1016/j.foreco.2022.120445
- Universal Dichotomy for Dynamical Systems with Variable Delay A. Otto et al. 10.1103/PhysRevLett.118.044104
- The first passage problem for stable linear delay equations perturbed by power law Lévy noise M. Högele & I. Pavlyukevich 10.1063/1.5097061
- Numerical computation of derivatives in systems of delay differential equations S. Lenz et al. 10.1016/j.matcom.2013.08.003
- Delayed Feedback Versus Seasonal Forcing: Resonance Phenomena in an El Nin͂o Southern Oscillation Model A. Keane et al. 10.1137/140998676
- Recurrence flow measure of nonlinear dependence T. Braun et al. 10.1140/epjs/s11734-022-00687-3
- Investigating Irregular Behavior in a Model for the El Nin͂o Southern Oscillation with Positive and Negative Delayed Feedback A. Keane et al. 10.1137/16M1063605
- Time evolution of probability density in stochastic dynamical systems with time delays: The governing equation and its numerical solution X. Sun & F. Yang 10.1063/5.0125949
- Forced synchronization of a delayed-feedback oscillator S. Usacheva & N. Ryskin 10.1016/j.physd.2011.10.005
- Chenciner bubbles and torus break-up in a periodically forced delay differential equation A. Keane & B. Krauskopf 10.1088/1361-6544/aab8a2
- A novel method to solve variable-order fractional delay differential equations based in lagrange interpolations C. Zúñiga-Aguilar et al. 10.1016/j.chaos.2019.06.009
- Higher order numerical schemes for the solution of fractional delay differential equations N. Gande & H. Madduri 10.1016/j.cam.2021.113810
- Genetic algorithm optimization to model business investment in fashion design K. Al Utaibi et al. 10.1080/17509653.2022.2076169
- Climate dynamics and fluid mechanics: Natural variability and related uncertainties M. Ghil et al. 10.1016/j.physd.2008.03.036
- A Legendre-Gauss collocation method for neutral functional-differential equations with proportional delays A. Bhrawy et al. 10.1186/1687-1847-2013-63
- Bayesian optimization of empirical model with state-dependent stochastic forcing A. Gavrilov et al. 10.1016/j.chaos.2017.08.032
- Effect of time-delayed feedback in a bistable system inferred by logic operation R. Gui et al. 10.1016/j.chaos.2021.111043
- Synchronicity from Synchronized Chaos G. Duane 10.3390/e17041701
- Multispectral analysis of Northern Hemisphere temperature records over the last five millennia C. Taricco et al. 10.1007/s00382-014-2331-1
- The wind-driven ocean circulation: Applying dynamical systems theory to a climate problem M. Ghil 10.3934/dcds.2017008
- Low-dimensional galerkin approximations of nonlinear delay differential equations S. Wang et al. 10.3934/dcds.2016.36.4133
- The effect of state dependence in a delay differential equation model for the El Niño Southern Oscillation A. Keane et al. 10.1098/rsta.2018.0121
- A Minimal Endogenous Business Cycle Model with Memory Effects D. Ohara & M. Ghil 10.2139/ssrn.3959179
- Arnold Maps with Noise: Differentiability and Non-monotonicity of the Rotation Number L. Marangio et al. 10.1007/s10955-019-02421-1
- Multi-cycle Periodic Solutions of a Differential Equation with Delay that Switches Periodically M. Tosato et al. 10.1007/s12591-020-00536-6
- The physics of climate variability and climate change M. Ghil & V. Lucarini 10.1103/RevModPhys.92.035002
Latest update: 23 Apr 2024
