Excitability, mixed-mode oscillations and transition to chaos in a stochastic ice ages model / Alexandrov D. V.,Bashkirtseva I. A.,Ryashko L. B. // PHYSICA D-NONLINEAR PHENOMENA. - 2017. - V. 343, l. . - P. 28-37.

ISSN/EISSN:

0167-2789 / 1872-8022

Type:

Article

Abstract:

Motivated by an important geophysical significance, we consider the influence of stochastic forcing on a simple three-dimensional climate model previously derived by Saltzman and Sutera. A nonlinear dynamical system governing three physical variables, the bulk ocean temperature, continental and marine ice masses, is analyzed in deterministic and stochastic cases. It is shown that the attractor of deterministic model is either a stable equilibrium or a limit cycle. We demonstrate that the process of continental ice melting occurs with a noise-dependent time delay as compared with marine ice melting. The paleoclimate cyclicity which is near 100 ky in a wide range of model parameters abruptly increases in the vicinity of a bifurcation point and depends on the noise intensity. In a zone of stable equilibria, the 3D climate model under consideration is extremely excitable. Even for a weak random noise, the stochastic trajectories demonstrate a transition from small-to large-amplitude stochastic oscillations (SLASO). In a zone of stable cycles, SLASO transitions are analyzed too. We show that such stochastic transitions play an important role in the formation of a mixed-mode paleoclimate scenario. This mixed-mode dynamics with the intermittency of large-and small-amplitude stochastic oscillations and coherence resonance are investigated via analysis of interspike intervals. A tendency of dynamic paleoclimate to abrupt and rapid glaciations and deglaciations as well as its transition from order to chaos with increasing noise are shown. (C) 2016 Elsevier B.V. All rights reserved.

Author keywords:

Climatic model; Stochastic disturbances; Noise-induced transitions; Chaos FEEDBACK-SYSTEM; CLIMATIC TRANSITIONS; NOISE; RESONANCE; CYCLES; VARIABILITY; DYNAMICS; PERIOD

DOI:

10.1016/j.physd.2016.11.007

Web of Science ID:

ISI:000394631000003

Соавторы в МНС:

Другие поля

Поле	Значение
Month	MAR 15
Publisher	ELSEVIER SCIENCE BV
Address	PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Language	English
EISSN	1872-8022
Keywords-Plus	FEEDBACK-SYSTEM; CLIMATIC TRANSITIONS; NOISE; RESONANCE; CYCLES; VARIABILITY; DYNAMICS; PERIOD
Research-Areas	Mathematics; Physics
Web-of-Science-Categories	Mathematics, Applied; Physics, Multidisciplinary; Physics, Mathematical
Author-Email	Dmitri.Alexandrov@urfu.ru
ResearcherID-Numbers	Alexandrov, Dmitri/D-2516-2016
ORCID-Numbers	Alexandrov, Dmitri/0000-0002-6628-745X
Funding-Acknowledgement	Ministry of Education and Science of the Russian Federation {[}1.849.2017]
Funding-Text	This work was supported by the Ministry of Education and Science of the Russian Federation (project no. 1.849.2017). We are grateful to M. Crucifix for his thoughtful comments which have helped in improving the manuscript.
Number-of-Cited-References	44
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	7
Journal-ISO	Physica D
Doc-Delivery-Number	EL4ZL