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Antiperiodic oscillations in Chua's circuits using conjugate coupling

DSpace at IIT Bombay

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Title Antiperiodic oscillations in Chua's circuits using conjugate coupling
 
Creator SINGLA, T
SINHA, T
PARMANANDA, P
 
Subject DIFFERENTIAL-EQUATIONS
EXISTENCE
 
Description Antiperiodic oscillations are particular of systems having antisymmetric eigenvector fields defined by: f((x) over bar) = f (-(x) over bar). It is known that the Chua's circuit also possesses the antisymmetric fields. Therefore, in this paper, we investigate the possibility of observing antiperiodic oscillations in independent and coupled Chua's oscillators. Chua's circuits have been coupled using the conjugate variables to find antiperiodic oscillations. Two different coupling schemes are being proposed. In the first scheme, the two Chua's circuits were directly coupled with each other. However, in the other scheme, the two Chua's circuits were coupled with a common dynamical environment. Both numerical results and their experimental corroboration have been presented. Results for antiperiodic oscillations in the independent Chua's circuit have been shown in the Appendix. Domains of antiperiodic oscillations with different number of maximas have been observed for different values of the system's parameters. Moreover, we also observed predictive scaling relations between different domains of antiperiodic oscillations. (C) 2015 Elsevier Ltd. All rights reserved.
 
Publisher PERGAMON-ELSEVIER SCIENCE LTD
 
Date 2016-01-14T13:19:04Z
2016-01-14T13:19:04Z
2015
 
Type Article
 
Identifier CHAOS SOLITONS & FRACTALS, 75,212-217
0960-0779
1873-2887
http://dx.doi.org/10.1016/j.chaos.2015.02.028
http://dspace.library.iitb.ac.in/jspui/handle/100/17597
 
Language en