Record Details

Transforming complex multistability to controlled monostability

DSpace at IIT Bombay

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Field Value
 
Title Transforming complex multistability to controlled monostability
 
Creator GOSWAMI, BK
BASU, S
 
Subject period-doubling bifurcations
driven dynamical-systems
coexisting attractors
modulated laser
chaos
co2-laser
tracking
orbits
oscillator
injection
 
Description Multistability, a commonly observed feature among nonlinear systems, could be inconvenient under various circumstances. We demonstrate that a control in the form of slow and weak periodic parameter modulation can be effectively applied to transform a complex multistable system to a controlled monostable one. For the representative of a nonlinear system, we choose the Henon map as the standard model. The number of coexisting stable states is known to increase as the dissipativity reduces. We show that even in the low dissipative limit, when the number of coexisting states could be arbitrarily large, the periodic parameter modulation can destroy the states coexisting with stable period 1. Thus, the system can be brought from any other branch to period-1 branch, leading to controlled monostability. This method works in the presence of noise as well.
 
Publisher AMERICAN PHYSICAL SOC
 
Date 2011-07-18T09:09:18Z
2011-12-26T12:50:31Z
2011-12-27T05:35:44Z
2011-07-18T09:09:18Z
2011-12-26T12:50:31Z
2011-12-27T05:35:44Z
2002
 
Type Article
 
Identifier PHYSICAL REVIEW E, 66(2), -
1063-651X
http://dx.doi.org/10.1103/PhysRevE.66.026214
http://dspace.library.iitb.ac.in/xmlui/handle/10054/4857
http://hdl.handle.net/10054/4857
 
Language en