Hopf bifurcation and synchronisation of a fractional-order butterfly-fish chaotic system

Perumal, Ramesh; Sambath, M.; Balachandran, K.

doi:10.1080/23307706.2021.1920485

Cited by 3 publications

(2 citation statements)

References 43 publications

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“…In [13], a fixed-time convergence scheme is presented for memductance-based CSs and the robustness is examined under bounded perturbations. In [14], the bifurcation of butterflyfish CSs is investigated and a linear control method is suggested for synchronization. e model-based adaptive controller is developed in [15] to investigate the stability of a generator of nuclear spin CSs.…”

Section: Introductionmentioning

confidence: 99%

A Type‐3 Fuzzy Approach for Stabilization and Synchronization of Chaotic Systems: Applicable for Financial and Physical Chaotic Systems

et al. 2022

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In this paper, a new approach is presented for stabilizing and synchronizing financial chaotic systems. A new type-3 (T3) fuzzy-based system (FLS) with an online optimization scheme is designed to cope with chaotic behavior, high-level uncertainties, and unknown dynamics. An adaptive compensator also eliminates the effect of approximation errors (AEs) and perturbations. The stability of the dynamics of synchronization errors is guaranteed by the use of the Lyapunov method. Several simulations and comparisons demonstrate the superiority of the suggested control and synchronization scenarios.

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Section: Introductionmentioning

confidence: 99%

A Type‐3 Fuzzy Approach for Stabilization and Synchronization of Chaotic Systems: Applicable for Financial and Physical Chaotic Systems

et al. 2022

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“…Wang et al [17] discussed a tumor and Lymphatic immune system interaction model with two time delays, in which Hopf bifurcation describes the chaotic attractor formation. Ramesh et al [18] studied Hopf bifurcation of a fractional-order butterfly-fish chao-Journal of Applied Mathematics and Physics tic system and derived the existence of a chaotic attractor in the system. Amin and Saeed [19] presented a four-dimensional quadratic autonomous hyper-chaotic system and analyzed the local dynamics of stability and Hopf bifurcation.…”

Section: Introductionmentioning

confidence: 99%

Local Dynamics of a New Four-Dimensional Quadratic Autonomous System

Hu¹,

Zhou²

2022

JAMP

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In this manuscript, Local dynamic behaviors including stability and Hopf bifurcation of a new four-dimensional quadratic autonomous system are studied both analytically and numerically. Determining conditions of equilibrium points on different parameters are derived. Next, the stability conditions are investigated by using Routh-Hurwitz criterion and bifurcation conditions are investigated by using Hopf bifurcation theory, respectively. It is found that Hopf bifurcation on the initial point is supercritical in this four-dimensional autonomous system. The theoretical results are verified by numerical simulation. Besides, the new four-dimensional autonomous system under the parametric conditions of hyperchaos is studied in detail. It is also found that the system can enter hyperchaos, first through Hopf bifurcation and then through periodic bifurcation.

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Synchronisation of interconnected network of nonlinear systems with Lipschitz nonlinear coupling using contraction approach

Chauhan

Sharma

2023

Journal of Control and Decision

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Hopf bifurcation and synchronisation of a fractional-order butterfly-fish chaotic system

Cited by 3 publications

References 43 publications

A Type‐3 Fuzzy Approach for Stabilization and Synchronization of Chaotic Systems: Applicable for Financial and Physical Chaotic Systems

A Type‐3 Fuzzy Approach for Stabilization and Synchronization of Chaotic Systems: Applicable for Financial and Physical Chaotic Systems

Local Dynamics of a New Four-Dimensional Quadratic Autonomous System

Synchronisation of interconnected network of nonlinear systems with Lipschitz nonlinear coupling using contraction approach

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