Construction of a conservative complex chaotic system with double parameters and biased boosting control
Based on the structure of a classic conservative chaotic system,this paper builds a double-parameter conservative chaotic system capable of generating complex dynamic phenomena.Through theoretical analysis and various numerical simulation methods,the effects of system structural parameters and external force parameters on chaos,conservativeness,equilibrium states,and stability are investigated.Our results indicate with the variations of the parameters,the phase volume of the system remains constant and exhibits chaotic and periodic motion,confirming the impact of parameters on equilibrium states.Additionally,a complex system is built by employing the virtual-physical separation,and its dynamical characteristics are investigated.Our results show the complex system built on a real chaotic system also exhibits chaotic and conservative properties and shows chaos over a wide range of parameter values.A controller is designed to induce biased perturbation in the system and control signal polarity.Finally,the system circuit is designed and simulated,yielding results in conformity with theoretical calculations,demonstrating the physical feasibility of the chaotic system.
conservative chaotic system with double parametersequilibrium statechaotic and conservative propertieschaotic behavior over a wide range of parameter valuesbiased perturbation
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