Features of the dynamics of seismic activity in models of the FitzHugh-Nagumo type

This paper considers the models of the Fitzhugh-Nagumo type, used to description of seismic activation. The examples of quasi-periodic dynamics and existence of homoclinic trajectories proper to the travelling impulses are resulted. For a twomode nondiffusion model the dynamic system of equations, l...

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Bibliographic Details
Date:2011
Main Author: Spirtus, V. B.
Format: Article
Language:Russian
Published: S. Subbotin Institute of Geophysics of the NAS of Ukraine 2011
Online Access:https://journals.uran.ua/geofizicheskiy/article/view/117295
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Journal Title:Geofizicheskiy Zhurnal

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Geofizicheskiy Zhurnal
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Summary:This paper considers the models of the Fitzhugh-Nagumo type, used to description of seismic activation. The examples of quasi-periodic dynamics and existence of homoclinic trajectories proper to the travelling impulses are resulted. For a twomode nondiffusion model the dynamic system of equations, linking amplitudes of the first and third fashions, is got. As physical explanation of the phenomenon of seismic quiescence competition of fashions is offered.