Analysis, Circuit Design and Synchronization of a New Hyperchaotic System with Three Quadratic Nonlinearities

Oumate, A. A.; Vaidyanathan, Sundarapandian; Zourmba, K.; Gambo, B.; Mohamadou, Alidou

doi:10.1007/978-3-319-71243-7_11

Cited by 4 publications

(2 citation statements)

References 42 publications

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“…Chaotic systems are characterized by their strange attractors. Due to their attraction, theoretical importance and possible scientific and engineering applications, chaotic systems received great attention in the literature and scientific research [1]. Analytically, there are several methods to investigate the existence of chaotic behavior in dynamical systems, the most important of these methods are Lyapunov exponents and bifurcation diagrams [2].…”

Section: Introductionmentioning

confidence: 99%

A new 4-D hyperchaotic hidden attractor system: Its dynamics, coexisting attractors, synchronization and microcontroller implementation

Jasim

Hassan

Omran

2021

IJECE

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In this paper, a simple 4-dimensional hyperchaotic system is introduced. The proposed system has no equilibria points, so it admits hidden attractor which is an interesting feature of chaotic systems. Another interesting feature of the proposed system is the coexisting of attractors where it shows periodic and chaotic coexisting attractors. After introducing the system, the system is analyzed dynamically using numerical and theoretical techniques. In this analysis, Lyapunov exponents and bifurcation diagrams have been used to investigate chaotic and hyperchaotic nature, the ranges of system parameters for different behaviors and the route for chaos and coexisting attractors regions. In the next part of our work, a synchronization control system for two identical systems is designed. The design procedure uses a combination of simple synergetic control with adaptive updating laws to identify the unknown parameters derived basing on Lyapunov theorem. Microcontroller (MCU) based hardware implementation system is proposed and tested by using MATLAB as a display side. As an application, the designed synchronization system is used as a secure analog communication system. The designed MCU system with MATLAB Simulation is used to validate the designed synchronization and secure communication systems and excellent results have been obtained.

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Section: Introductionmentioning

confidence: 99%

A new 4-D hyperchaotic hidden attractor system: Its dynamics, coexisting attractors, synchronization and microcontroller implementation

Jasim

Hassan

Omran

2021

IJECE

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“…For that purpose, each cell is replaced by an electric circuit oscillator with a light emitting element and a light receiving element. A network of multiple electrical circuit oscillators can theoretically be used to simulate brain cell networks [14].…”

Section: Introductionmentioning

confidence: 99%

Emergence of long-term rhythmicity within a frustrated triangle oscillator-network

Matsushima,

Ueno,

Kamiya

et al. 2019

Preprint

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Extensive analysis for an innovative three-dimensional chaotic system with coexisting attractors

Jasim,

Alhasnawi,

Oglah

et al. 2024

Transport, Ecology, Sustainable Development: Eko Varna 2023

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Analysis, Circuit Design and Synchronization of a New Hyperchaotic System with Three Quadratic Nonlinearities

Cited by 4 publications

References 42 publications

A new 4-D hyperchaotic hidden attractor system: Its dynamics, coexisting attractors, synchronization and microcontroller implementation

A new 4-D hyperchaotic hidden attractor system: Its dynamics, coexisting attractors, synchronization and microcontroller implementation

Emergence of long-term rhythmicity within a frustrated triangle oscillator-network

Extensive analysis for an innovative three-dimensional chaotic system with coexisting attractors

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