Detection of self-organized criticality behavior in an electronic circuit designed to solve a third order non-linear ODE (NL-ODE) for a damped KdV equation

In this work, we present an electronic implementation of a damped Korteweg-de Vries equation modeled as a third order nonlinear autonomous ordinary differential equation (jerk equation). The circuit has been realized using operational amplifiers, multipliers, and passive electronic components which...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2019-08, Vol.29 (8), p.083116-083116
Main Authors: Jha, Amit Kumar, Banerjee, Debasmita, Iyengar, A. N. Sekar, Janaki, M. S.
Format: Article
Language:English
Subjects:
Bifurcations
Chaos theory
Circuit design
Circuits
Computer simulation
Correlation analysis
Data acquisition
Differential equations
Electronic circuits
Electronic components
Fractals
Korteweg-Devries equation
Mathematical models
Nonlinear analysis
Operational amplifiers
Ordinary differential equations
Time series
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Summary:In this work, we present an electronic implementation of a damped Korteweg-de Vries equation modeled as a third order nonlinear autonomous ordinary differential equation (jerk equation). The circuit has been realized using operational amplifiers, multipliers, and passive electronic components which provides the time series solution of the equation in agreement with the numerical simulation results. Using nonlinear time series analysis on the acquired waveform data, we have obtained different types of phase space portraits and further analysis reflected long range correlation in the chaotic time series. Important findings include hysteresis induced bifurcation and self-organized criticality behavior in the system which is mentioned in this work.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.5092798