Chaos control of chaotic plankton dynamics in the presence of additional food, seasonality, and time delay

Kaur, Rajinder; Sharma, Amit; Sharma, Anuj Kumar; Sahu, Govind Prasad

doi:10.1016/j.chaos.2021.111521

Cited by 12 publications

(3 citation statements)

References 39 publications

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“…Common bifurcation anti-control techniques are delayed feedback control method [13][14][15][16][17][18][19], washout filters approach [10,11], polynomial function method [20], and so on. Here, we shall point out that washout filters approach and polynomial function method are only applied to the anti-control of Hopf bifurcation for the integer-order dynamical systems.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation anti‐control technique in a fractional‐order stable finance model

Aouiti

et al. 2022

Asian Journal of Control

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Setting up differential models to give a description of the object economical phenomenon in the world today is very essential in economics and mathematics. In this current study, we are committed to the study on the anti‐control of Hopf bifurcation for a fractional‐order stable finance model. By virtue of a suitable washout filter controller involving time delay, we obtain a fractional‐order controlled finance model. Selecting the time delay as bifurcation parameter, we derive a new delay‐independent stability and bifurcation condition to assure that the involved fractional‐order controlled finance model is locally asymptotically stable and generates Hopf bifurcation around the equilibrium point. The investigation clearly manifests that the designed washout filter controller is a very effective means of bifurcation anti‐control. Ultimately, the obtained simulation figures and bifurcation diagrams are sufficiently presented to verify effectiveness for the proposed control technique. The established theoretical fruits have great significance in maintaining financial balance. Up to the present, the report on anti‐control technique of Hopf bifurcation for fractional‐order dynamical systems is quite rare. The research idea can also be applied to probe into the control issue of bifurcation and chaos for numerous other fractional‐order dynamical models in many areas.

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Section: Introductionmentioning

confidence: 99%

Bifurcation anti‐control technique in a fractional‐order stable finance model

Aouiti

et al. 2022

Asian Journal of Control

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“…For example, Aqeel et al [9] applied the state-space linearization method to control chaos in the Krause and Roberts geomagnetic chaotic model. Kaur et al [10] controlled the chaos in the chaotic plankton system by virtue of a delayed feedback controller. Li et al [11] suppressed the chaos in a brushless DC motor model by applying a nonlinear state feedback controller.…”

Section: Introductionmentioning

confidence: 99%

Chaos Suppression of a Fractional-Order Modificatory Hybrid Optical Model via Two Different Control Techniques

Gao

et al. 2022

Fractal Fract

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In this current manuscript, we study a fractional-order modificatory hybrid optical model (FOMHO model). Experiments manifest that under appropriate parameter conditions, the fractional-order modificatory hybrid optical model will generate chaotic behavior. In order to eliminate the chaotic phenomenon of the (FOMHO model), we devise two different control techniques. First of all, a suitable delayed feedback controller is designed to control chaos in the (FOMHO model). A sufficient condition ensuring the stability and the occurrence of Hopf bifurcation of the fractional-order controlled modificatory hybrid optical model is set up. Next, a suitable delayed mixed controller which includes state feedback and parameter perturbation is designed to suppress chaos in the (FOMHO model). A sufficient criterion guaranteeing the stability and the onset of Hopf bifurcation of the fractional-order controlled modificatory hybrid optical model is derived. In the end, software simulations are implemented to verify the accuracy of the devised controllers. The acquired results of this manuscript are completely new and have extremely vital significance in suppressing chaos in physics. Furthermore, the exploration idea can also be utilized to control chaos in many other differential chaotic dynamical models.

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“…The research in the field of chaos control and synchronization often has shortcomings, such as considering simple models for the system, applying limiting assumptions to system dynamics, and not considering various uncertainties, including variable time indeterminacies [1][2][3][4]. Moreover, considering the global stability and not paying attention to issues such as stimulus saturation and the validity region of state variables is another challenge in this field.…”

Section: Introductionmentioning

confidence: 99%

Nonsingular Terminal Sliding Mode Control Based on Adaptive Barrier Function for nth-Order Perturbed Nonlinear Systems

et al. 2021

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In this study, an adaptive nonsingular finite time control technique based on a barrier function terminal sliding mode controller is proposed for the robust stability of nth-order nonlinear dynamic systems with external disturbances. The barrier function adaptive terminal sliding mode control makes the convergence of tracking errors to a region near zero in the finite time. Moreover, the suggested method does not need the information of upper bounds of perturbations which are commonly applied to the sliding mode control procedure. The Lyapunov stability analysis proves that the errors converge to the determined region. Last of all, simulations and experimental results on a complex new chaotic system with a high Kaplan–Yorke dimension are provided to confirm the efficacy of the planned method. The results demonstrate that the suggested controller has a stronger tracking than the adaptive controller and the results are satisfactory with the application of the controller based on chaotic synchronization on the chaotic system.

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Chaos control of chaotic plankton dynamics in the presence of additional food, seasonality, and time delay

Cited by 12 publications

References 39 publications

Bifurcation anti‐control technique in a fractional‐order stable finance model

Bifurcation anti‐control technique in a fractional‐order stable finance model

Chaos Suppression of a Fractional-Order Modificatory Hybrid Optical Model via Two Different Control Techniques

Nonsingular Terminal Sliding Mode Control Based on Adaptive Barrier Function for nth-Order Perturbed Nonlinear Systems

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