Period-doubling route to chaos, bistability and antimononicity in a jerk circuit with quintic nonlinearity
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In this paper, the dynamics of an autonomous jerk circuit with quintic nonlinearity is investigated. The circuit is described by a set of three coupled-first order nonlinear differential equations recently introduced as memory oscillator by Sprott (Elegant chaos, algebraically simple chaotic flows, World Scientific, Singapore, 2010). The dynamical behaviors of the system are examined with the help of common nonlinear methods such as bifurcation diagrams, largest Lyapunov exponent plot, Poincaré map as well as power density spectra. It is revealed that the system under scrutiny experiences some complex phenomena including period-doubling route to chaos, bistability and antimonotonicity. Finally, the analog simulations are carried out in PSIM and experimental electronic circuit is realized to validate the numerical results.
KeywordsJerk circuit with quintic nonlinearity Bifurcation analysis Bistability Antimonotonicity PSIM-based analog simulations Experimental studies
The authors would like to thank Prof. Woafo Paul of University of Yaoundé 1-Cameroon, for suggesting many helpful pieces of advice during the investigation of the work and Dr. Sifeu Takougang Kingni of University of Maroua-Cameroon, for carefully reading the manuscript.
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Conflict of interest
The authors declare that there are no conflict of interest regarding the publication of this paper.
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