Stabilization of wave segments under a delayed feedback in the parameter space

We investigate the effects of delayed feedback on the stabilization of a propagating wave segment by introducing a dynamical subsystem in the parameter space. This method aims to automatically find the critical excitability boundary between excitable region and subexcitable region. A simple kinemati...

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Bibliographic Details
Published in:Nonlinear dynamics 2017-09, Vol.89 (4), p.2603-2608
Main Authors: Wu, Ningjie, Ying, Heping
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Control
Dynamical Systems
Engineering
Feedback
Mechanical Engineering
Original Paper
Parameters
Qualitative analysis
Segments
Stabilization
Subsystems
Vibration
Wave fronts
Wave propagation
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Summary:We investigate the effects of delayed feedback on the stabilization of a propagating wave segment by introducing a dynamical subsystem in the parameter space. This method aims to automatically find the critical excitability boundary between excitable region and subexcitable region. A simple kinematic analysis of wave front provides a qualitative explanation of the effects of delayed feedback on the stabilization of wave segments.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-017-3607-x