Heteroclinic Cycles in Nature

Heteroclinic cycle is an invariant of a dynamical system comprised of steady states (or more general invariant subsets) and heteroclinic trajectories. The behavior of a dynamical system with a heteroclinic cycle is intermittent: a typical trajectory stays for a long time close to a steady state whil...

Full description

Saved in:
Bibliographic Details
Published in:Izvestiya. Physics of the solid earth 2020, Vol.56 (1), p.117-124
Main Author: Podvigina, O. M.
Format: Article
Language:English
Subjects:
Atmospheric circulation
Atmospheric models
Biological evolution
Climate variations
Cycles
Dynamical systems
Earth and Environmental Science
Earth Sciences
Geophysics/Geodesy
Invariants
Magnetic field
Magnetic fields
Mathematical models
Physical phenomena
Steady state
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Heteroclinic cycle is an invariant of a dynamical system comprised of steady states (or more general invariant subsets) and heteroclinic trajectories. The behavior of a dynamical system with a heteroclinic cycle is intermittent: a typical trajectory stays for a long time close to a steady state while the transitions between the states occur much faster. Intermittency is present in various physical phenomena, e.g., Earth’s atmospheric circulation, climate variations considered on long time intervals, evolution of species, distribution of diseases, behavior of the Earth’s magnetic field and many others. In this paper, we consider the examples of this natural system and the respective mathematical models possessing heterocliic cycles.
ISSN:1069-3513
1555-6506
DOI:10.1134/S1069351320010115