Abstract
In this paper, chaos, coexisting behaviors of attractors and passive control in a dissipative chemical system modeled by a nonautonomous generalized mixed Rayleigh–Liénard oscillator are investigated. The condition of the appearance of horseshoe chaos is derived using the Melnikov method. The analytical results are confirmed by numerical simulations. The bifurcation mechanisms obtained show that the chemical model displays various bifurcations such as period doubling, period windows, period bubbling, symmetry-breaking, reverse period windows, chaos, chaotic bubbling, intermittency, antimonotonicity. Furthermore, the chemical system exhibits monostability and bistability phenomena as well as the coexisting of attractors and hysteresis phenomenon. It is also found that the system presents remarkable routes to chaos. The effects of control gain parameter on the chaotic behavior of the system are analyzed and the obtained results have shown the control efficiency.
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