Articles | Volume 25, issue 3
https://doi.org/10.5194/npg-25-671-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/npg-25-671-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| 
10 Sep 2018
Research article |
| 10 Sep 2018
| 10 Sep 2018
The onset of chaos in nonautonomous dissipative dynamical systems: a low-order ocean-model case study
Stefano Pierini
CORRESPONDING AUTHOR
Dipartimento di Scienze e Tecnologie, Universita' di Napoli Parthenope, Naples, Italy
CoNISMa, Rome, Italy
Mickaël D. Chekroun
University of California at Los Angeles, Los Angeles, California, USA
Michael Ghil
University of California at Los Angeles, Los Angeles, California, USA
Ecole Normale Supérieure and PSL Research University, Paris, France
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Cited
22 citations as recorded by crossref.
- Enriched numerical scheme for singularly perturbed barotropic Quasi-Geostrophic equations M. Chekroun et al. https://doi.org/10.1016/j.jcp.2020.109493
- Climate change in a conceptual atmosphere–phytoplankton model G. Károlyi et al. https://doi.org/10.5194/esd-11-603-2020
- Overview of the advances in understanding chaos in low-dimensional dynamical systems subjected to parameter drift D. Jánosi & T. Tél https://doi.org/10.1016/j.physrep.2024.09.003
- A Century of Nonlinearity in the Geosciences M. Ghil https://doi.org/10.1029/2019EA000599
- Statistical Significance of Small Ensembles of Simulations and Detection of the Internal Climate Variability: An Excitable Ocean System Case Study S. Pierini https://doi.org/10.1007/s10955-019-02409-x
- The Theory of Parallel Climate Realizations T. Tél et al. https://doi.org/10.1007/s10955-019-02445-7
- The snowball Earth transition in a climate model with drifting parameters: Splitting of the snapshot attractor B. Kaszás et al. https://doi.org/10.1063/1.5108837
- Review article: Hilbert problems for the climate sciences in the 21st century – 20 years later M. Ghil https://doi.org/10.5194/npg-27-429-2020
- Extratropical Low‐Frequency Variability With ENSO Forcing: A Reduced‐Order Coupled Model Study S. Vannitsem et al. https://doi.org/10.1029/2021MS002530
- The deterministic excitation paradigm and the late Pleistocene glacial terminations S. Pierini https://doi.org/10.1063/5.0127715
- Crisis in Time-Dependent Dynamical Systems S. Olmi & A. Politi https://doi.org/10.1103/PhysRevLett.134.147202
- Topological modes of variability of the wind-driven ocean circulation G. Charó et al. https://doi.org/10.1063/5.0261968
- Noise-driven topological changes in chaotic dynamics G. Charó et al. https://doi.org/10.1063/5.0059461
- Orbital insolation variations, intrinsic climate variability, and Quaternary glaciations K. Riechers et al. https://doi.org/10.5194/cp-18-863-2022
- Characterizing chaos in systems subjected to parameter drift D. Jánosi & T. Tél https://doi.org/10.1103/PhysRevE.105.L062202
- Introduction to the Focus Issue: Nonautonomous dynamics in the climate sciences D. Crisan et al. https://doi.org/10.1063/5.0324361
- Hypothesis Testing for Nonlinear Phenomena in the Geosciences Using Synthetic, Surrogate Data C. Keylock https://doi.org/10.1029/2018EA000435
- Interannual to decadal variability of the Kuroshio extension: analyzing an ensemble of global hindcasts from a dynamical system viewpoint G. Fedele et al. https://doi.org/10.1007/s00382-021-05751-7
- Multi-system synchronization of discrete-time chaotic dynamics M. Salehi Yekta & S. Effati https://doi.org/10.1016/j.isatra.2026.03.045
- The physics of climate variability and climate change M. Ghil & V. Lucarini https://doi.org/10.1103/RevModPhys.92.035002
- Tipping points induced by parameter drift in an excitable ocean model S. Pierini & M. Ghil https://doi.org/10.1038/s41598-021-90138-1
- Climate change in mechanical systems: the snapshot view of parallel dynamical evolutions D. Jánosi et al. https://doi.org/10.1007/s11071-021-06929-8
22 citations as recorded by crossref.
- Enriched numerical scheme for singularly perturbed barotropic Quasi-Geostrophic equations M. Chekroun et al. https://doi.org/10.1016/j.jcp.2020.109493
- Climate change in a conceptual atmosphere–phytoplankton model G. Károlyi et al. https://doi.org/10.5194/esd-11-603-2020
- Overview of the advances in understanding chaos in low-dimensional dynamical systems subjected to parameter drift D. Jánosi & T. Tél https://doi.org/10.1016/j.physrep.2024.09.003
- A Century of Nonlinearity in the Geosciences M. Ghil https://doi.org/10.1029/2019EA000599
- Statistical Significance of Small Ensembles of Simulations and Detection of the Internal Climate Variability: An Excitable Ocean System Case Study S. Pierini https://doi.org/10.1007/s10955-019-02409-x
- The Theory of Parallel Climate Realizations T. Tél et al. https://doi.org/10.1007/s10955-019-02445-7
- The snowball Earth transition in a climate model with drifting parameters: Splitting of the snapshot attractor B. Kaszás et al. https://doi.org/10.1063/1.5108837
- Review article: Hilbert problems for the climate sciences in the 21st century – 20 years later M. Ghil https://doi.org/10.5194/npg-27-429-2020
- Extratropical Low‐Frequency Variability With ENSO Forcing: A Reduced‐Order Coupled Model Study S. Vannitsem et al. https://doi.org/10.1029/2021MS002530
- The deterministic excitation paradigm and the late Pleistocene glacial terminations S. Pierini https://doi.org/10.1063/5.0127715
- Crisis in Time-Dependent Dynamical Systems S. Olmi & A. Politi https://doi.org/10.1103/PhysRevLett.134.147202
- Topological modes of variability of the wind-driven ocean circulation G. Charó et al. https://doi.org/10.1063/5.0261968
- Noise-driven topological changes in chaotic dynamics G. Charó et al. https://doi.org/10.1063/5.0059461
- Orbital insolation variations, intrinsic climate variability, and Quaternary glaciations K. Riechers et al. https://doi.org/10.5194/cp-18-863-2022
- Characterizing chaos in systems subjected to parameter drift D. Jánosi & T. Tél https://doi.org/10.1103/PhysRevE.105.L062202
- Introduction to the Focus Issue: Nonautonomous dynamics in the climate sciences D. Crisan et al. https://doi.org/10.1063/5.0324361
- Hypothesis Testing for Nonlinear Phenomena in the Geosciences Using Synthetic, Surrogate Data C. Keylock https://doi.org/10.1029/2018EA000435
- Interannual to decadal variability of the Kuroshio extension: analyzing an ensemble of global hindcasts from a dynamical system viewpoint G. Fedele et al. https://doi.org/10.1007/s00382-021-05751-7
- Multi-system synchronization of discrete-time chaotic dynamics M. Salehi Yekta & S. Effati https://doi.org/10.1016/j.isatra.2026.03.045
- The physics of climate variability and climate change M. Ghil & V. Lucarini https://doi.org/10.1103/RevModPhys.92.035002
- Tipping points induced by parameter drift in an excitable ocean model S. Pierini & M. Ghil https://doi.org/10.1038/s41598-021-90138-1
- Climate change in mechanical systems: the snapshot view of parallel dynamical evolutions D. Jánosi et al. https://doi.org/10.1007/s11071-021-06929-8
Saved (final revised paper)
Latest update: 09 Jun 2026
Short summary
A four-dimensional nonlinear spectral ocean model is used to study the transition to chaos induced by periodic forcing in systems that are nonchaotic in the autonomous limit. The analysis makes use of ensemble simulations and of the system's pullback attractors. A new diagnostic method characterizes the transition to chaos: this is found to occur abruptly at a critical value and begins with the intermittent emergence of periodic oscillations with distinct phases.
A four-dimensional nonlinear spectral ocean model is used to study the transition to chaos...
