A new 3-D chaotic jerk system with three quadratic nonlinear terms, its bifurcation analysis, multistability and circuit simulation

In this research work, we present new results for a chaotic jerk system with three quadratic terms and carry out a detailed dynamical analysis of the new jerk system using bifurcation diagrams and Lyapunov exponents. A linear stability analysis for the new chaotic jerk system shows the possibility o...

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Bibliographic Details
Main Authors: Vaidyanathan, S, Moroz, I, Hannachi, F, Balthazar, JM, Sambas, A, Mohamed, MA
Format: Conference item
Language:English
Published: Springer 2024
Description
Summary:In this research work, we present new results for a chaotic jerk system with three quadratic terms and carry out a detailed dynamical analysis of the new jerk system using bifurcation diagrams and Lyapunov exponents. A linear stability analysis for the new chaotic jerk system shows the possibility of codimension-1, codimension-2 and codimension-3 bifurcations, depending on the values of the system parameters. We also derive new results for the multistability and coexistence of attractors for the new chaotic jerk system. Finally, using the NI Multisim 14.2 platform, the states of the chaotic jerk system are simulated via oscilloscope XSC1 and Tektronix oscilloscope.