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Antiperiodic oscillations in a forced Duffing oscillator

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Title Antiperiodic oscillations in a forced Duffing oscillator
 
Creator SHAW, PK
JANAKI, MS
IYENGAR, ANS
SINGLA, T
PARMANANDA, P
 
Subject TIME-VARYING DELAYS
NEURAL-NETWORKS
STABILITY
EXISTENCE
EQUATION
BIFURCATIONS
SYSTEM
SCALES
CHAOS
Antiperiodic oscillations
Dulling equation
Similarity function
 
Description Regularity has always been attributed to periodicity. However, there has been a spurt of interest in another unique type of regularity called anitperiodicity. In this paper we have presented results of antiperiodic oscillations obtained from a forced duffing equation with negative linear stiffness wherein the increase in the number of peaks in anti periodic oscillation with the forcing strength has been observed. Similarity function has been used to identify the antiperiodic oscillation and further the bifurcation diagram has been plotted and stability analysis of the fixed points have been carried out to understand its dynamics. An analog electronic circuit governed by the forced Duffing equation has been designed and developed to investigate the dynamics of the antiperiodic oscillations. The circuit is quite robust and stable to enable the comparison of its analog output with the numerically simulated data. Power spectrum analysis obtained by fast Fourier transform has been corroborated using a nonlinear statistical technique called rescale range analysis method. By this technique we have estimated the Hurst exponents and detected the coherent frequencies present in the system. (C) 2015 Elsevier Ltd. All rights reserved.
 
Publisher PERGAMON-ELSEVIER SCIENCE LTD
 
Date 2016-01-14T13:19:35Z
2016-01-14T13:19:35Z
2015
 
Type Article
 
Identifier CHAOS SOLITONS & FRACTALS, 78,256-266
0960-0779
1873-2887
http://dx.doi.org/10.1016/j.chaos.2015.08.005
http://dspace.library.iitb.ac.in/jspui/handle/100/17598
 
Language en