Antimonotonicity, chaos and multiple coexisting attractors in a simple hybrid diode-based jerk circuit. (December 2017)

• Record Type: Journal Article
• Authors: Njitacke, Z.T.; kengne, J.; Kengne, L. Kamdjeu
• Is Part Of: Chaos, solitons and fractals. Volume 105(2017)
• Page Start: 77
• Page End: 91
• Publication Date: 2017-12
• Subjects: Jerk circuit with Hybrid diode -- Bifurcation analysis -- Antimonotonicity -- Coexistence of multiple attractors -- Pspice simulations -- Experimental study; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2017.10.004
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: A novel hybrid diode based jerk circuit is proposed. It is found that the system experiences period-doubling bifurcation, coexisting bifurcations, periodic windows, antimonotonicity, and chaos when monitoring its parameters. PSpice simulations results and laboratory experimental measurements confirm the results of theoretical analysis. Abstract: This paper focuses on the dynamics of a modified jerk circuit obtained via replacing the diode bridge memristor in the original jerk circuit introduced in [24] with a first-order hybrid diode circuit. Both memristive diode bridge and first order hybrid diode are frequency dependent component even though the later device doesn't has a pinched hysteresis loop. The analysis is carried out in terms of bifurcation diagrams, graph of Lyapunov exponents, phase portraits, Poincaré section, time series and frequency spectra. The results indicate that, the new circuit exhibits rich dynamic behaviors including multiple coexisting self-excited attractors (e.g. coexistence of two, four or six disconnected periodic and chaotic attractors) and antimonotonicity (i.e. concurrent creation and annihilation of periodic orbits) compared to the original memrisitve jerk circuit. Basins of attraction of various coexisting attractors display extremely complex structures thus justifying jumps between coexisting attractors in experiment. Both PSpice simulations and laboratory experimental measurements are carried out to support the theoretical analyses.