Rikitake dynamo system, its circuit simulation and chaotic synchronization via quasi-sliding mode control

Hou, Yi‐You; Fang, Cheng-Shun; Lien, Chang‐Hua; Vaidyanathan, Sundarapandian; Sambas, Aceng; Mamat, Mustafa; Johansyah, Muhamad Deni

doi:10.12928/telkomnika.v19i4.17700

Cited by 9 publications

(19 citation statements)

References 42 publications

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“…Table 1 outlines existing systems, i.e. Lorenz [7] (and the modified [10,18]), Rossler [8], Rikitake [9] (and the modified [21]), Rucklidge [14],…”

Section: Lyapunov Exponents and Kaplan-yorke Dimensionmentioning

confidence: 99%

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A New 6D Chaotic Generator: Computer Modelling and Circuit Design

Kopp¹,

Kopp²

2022

Int. j. eng. technol. innov.

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The objective of this study aims at using the Matlab-Simulink environment and the LabVIEW software environment to build computer models of a six-dimensional (6D) chaotic dynamic system. For the fixed system’s parameters, the spectrum of Lyapunov exponents and the Kaplan-York dimension are calculated. The presence of two positive Lyapunov exponents demonstrates the hyperchaotic behavior of the system. The fractional Kaplan-York dimension indicates the fractal structure of strange attractors. An active control method is extended to achieve global chaotic synchronization of two identical novel 6D chaotic systems with unknown system parameters. Based on the results obtained in Matlab-Simulink and LabVIEW models, a chaotic signal generator for the 6D chaotic system is implemented in the MultiSim environment. The experimental results show that the chaotic behavior simulation in the MultiSim environment is similar to those in the Matlab-Simulink and LabVIEW models. The simulation results demonstrate that the Pecora-Carroll method is a simple way of chaotic masking and signal decoding.

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“…Table 1 outlines existing systems, i.e. Lorenz [7] (and the modified [10,18]), Rossler [8], Rikitake [9] (and the modified [21]), Rucklidge [14],…”

Section: Lyapunov Exponents and Kaplan-yorke Dimensionmentioning

confidence: 99%

“…The development of new electronic dynamic chaos generators has been accelerating recently. Electronic chaos generators are based on Rössler equations [8], Rikitake equations [9], modified Lorentz equations [10][11][12][13], and Rucklidge equations [14].…”

Section: Introductionmentioning

confidence: 99%

A New 6D Chaotic Generator: Computer Modelling and Circuit Design

Kopp¹,

Kopp²

2022

Int. j. eng. technol. innov.

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show abstract

“…In this operation, the modified voltage is combined with the oscillator bias cyclically in order to troubleshoot the operating situation. Van Der Pol's parameters can be determined by studying the mathematical analysis of the energy spectrum of the confused oscillator, which contains many data [15].…”

Section: Literature Reviewmentioning

confidence: 99%

Chaotic dynamics model based on field-programmable analog array technology

Salih

2022

IJAAS

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Engineering applications in secure communications and encryption based on chaotic signals have attracted a lot of attention in the past decade. This paper presents an extensive study of the chaotic dynamics model of the Van Der Pol oscillator via MATLAB/Simulink simulation and its practical implementation using field-programmable analog matrix techniques. The obtained results show the ease of changing the frequency of the oscillator signal once it is retrieved, creating the required changes, and loading it again according to the required changes. An unlimited number of signals can be generated, allowing them to be used as a chaotic signal oscillator used in many transceiver systems, which require the generation of an unlimited number of such a signal. These research results confirmed that the AN231E04 field-programmable analog array (FPAA) device could be an interesting choice for analog circuit designers, it has the advantage of the ease of use in introducing design changes and testing many critical design solutions.

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“…The literature on chaotic systems is rich and diverse, featuring numerous well-known chaotic systems that have been extensively studied. Some of these include Lorenz system [4], Rössler equations [5]- [6], Rikitake equations [7], modified Lorentz equations [8], and Rucklidge equations [9]. Some noteworthy systems producing hyperchaotic oscillations have been developed, such as the Liu systems [10]- [11], Chen systems [12], and new modifications of the Lorentz equations [13]- [14] and Rikitake equations [15]- [16].…”

Section: Introductionmentioning

confidence: 99%

A new 7D memristor-based hyperchaotic system and its application to secret information transmission

Kopp

2024

Preprint

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This work presents a new seven-dimensional (7D) chaotic system based on a fluxcontrolled memristor, which we consider in two versions. The first version of a 7D memristive chaotic system describes self-excited attractors. In the second version, in a 7D memristive chaotic system, hidden attractors can arise by adjusting the values of one constant parameter. A study was conducted on both types of innovative 7D dynamic systems to determine Lyapunov exponents, construct bifurcation diagrams, and identify equilibrium points and the corresponding stability conditions for each system. As a result of computer modeling of 7D hyperchaotic systems in Matlab-Simulink, phase portraits were obtained for self-excited and hidden strange attractors. Finally, electronic circuits for new 7D chaos generators with different types of attractors were built using Multisim software, which showed behavior similar to the Matlab-Simulink models. The synchronization problem for both identical 7D hyperchaotic memristive systems was investigated using the active control method. For practical applications, a method of chaotic encryption and decryption of an information signal was developed and numerically tested.

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Rikitake dynamo system, its circuit simulation and chaotic synchronization via quasi-sliding mode control

Cited by 9 publications

References 42 publications

A New 6D Chaotic Generator: Computer Modelling and Circuit Design

A New 6D Chaotic Generator: Computer Modelling and Circuit Design

Chaotic dynamics model based on field-programmable analog array technology

A new 7D memristor-based hyperchaotic system and its application to secret information transmission

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