A New Chaotic System with a Pear-shaped Equilibrium and its Circuit Simulation

Sambas, Aceng; Vaidyanathan, Sundarapandian; Mamat, Mustafa; Mohamed, Mohamad Afendee; Ws, Mada Sanjaya

doi:10.11591/ijece.v8i6.pp4951-4958

Cited by 10 publications

(11 citation statements)

References 35 publications

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“…To determine the presence of chaos [16,28] and its respective control, we will use the values with which the flip bifurcation was obtained. Figure 7 shows the existence of positive Lyapunov exponents for values of 3 greater than 51.96 .…”

Section: Existence and Chaos Controlmentioning

confidence: 99%

Simulation, bifurcation, and stability analysis of a SEPIC converter controlled with ZAD

Morelo¹,

Trujillo²,

Hoyos³

2020

IJECE

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This article presents some results of SEPIC converter dynamics when controlled by a center pulse width modulator controller (CPWM). The duty cycle is calculated using the ZAD (Zero Average Dynamics) technique. Results obtained using this technique show a great variety of non-linear phenomena such as bifurcations and chaos, as parameters associated with the switching surface. These phenomena have been studied in the present paper in numerical form. Simulations were done in MATLAB.

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Section: Existence and Chaos Controlmentioning

confidence: 99%

Simulation, bifurcation, and stability analysis of a SEPIC converter controlled with ZAD

Morelo¹,

Trujillo²,

Hoyos³

2020

IJECE

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“…Circle Pham et al [4] Ellipse, Square and Rectangle Pham et al [5] Heart Pham et al [6] Rounded Square Mobayen et al [7] Three-Leaved Clover Sambas et al [8] Pear Vaidyanathan et al [9] Axe Vaidyanathan et al [10] Cloud Mobayen et al [11] Boomerang This Work Two Circles…”

Section: Gotthans and Petrzela [3]mentioning

confidence: 99%

“…In addition, Mobayen et al, presented a new chaotic system with a three-leaved clover equilibrium and its application in image encryption [7]. Sambas et al proposed a new chaotic system with pear-shaped equilibrium and discussed its electronic circuit simulation [8]. Vaidyanathan et al proposed a new chaotic system with axe-shaped equilibrium and discussed its control applications [9].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Novel Chaotic System with Two Circles of Equilibrium Points: Multistability, Electronic Circuit and FPGA Realization

Sambas¹,

Vaidyanathan²,

Tlelo‐Cuautle³

et al. 2019

Electronics

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This paper introduces a new chaotic system with two circles of equilibrium points. The dynamical properties of the proposed dynamical system are investigated through evaluating Lyapunov exponents, bifurcation diagram and multistability. The qualitative study shows that the new system exhibits coexisting periodic and chaotic attractors for different values of parameters. The new chaotic system is implemented in both analog and digital electronics. In the former case, we introduce the analog circuit of the proposed chaotic system with two circles of equilibrium points using amplifiers, which is simulated in MultiSIM software, version 13.0 and the results of which are in good agreement with the numerical simulations using MATLAB. In addition, we perform the digital implementation of the new chaotic system using field-programmable gate arrays (FPGA), the experimental observations of the attractors of which confirm its suitability to generate chaotic behavior.

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“…Chaos phenomenon is widely applied in the field of engineering. Specifically, electronic circuits [44][45][46][47][48][49][50], secure communication [51], robotic [52], random bits generator [53], and voice encryption [54]. In this section, we describe a possible circuit to implement new chaotic system with line of equilibria (1) as presented in Figure 4.…”

Section: Circuit Design Of the New Chaotic Systemmentioning

confidence: 99%

A New Chaotic System with Line of Equilibria: Dynamics, Passive Control and Circuit Design

Sambas¹,

Mamat

Arafa

et al. 2019

IJECE

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<p>A new chaotic system with line equilibrium is introduced in this paper. This system consists of five terms with two transcendental nonlinearities and two quadratic nonlinearities. Various tools of dynamical system such as phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, bifurcation diagram and Poincarè map are used. It is interesting that this system has a line of fixed points and can display chaotic attractors. Next, this paper discusses control using passive control method. One example is given to insure the theoretical analysis. Finally, for the new chaotic system, An electronic circuit for realizing the chaotic system has been implemented. The numerical simulation by using MATLAB 2010 and implementation of circuit simulations by using MultiSIM 10.0 have been performed in this study.</p>

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A New Chaotic System with a Pear-shaped Equilibrium and its Circuit Simulation

Cited by 10 publications

References 35 publications

Simulation, bifurcation, and stability analysis of a SEPIC converter controlled with ZAD

Simulation, bifurcation, and stability analysis of a SEPIC converter controlled with ZAD

A Novel Chaotic System with Two Circles of Equilibrium Points: Multistability, Electronic Circuit and FPGA Realization

A New Chaotic System with Line of Equilibria: Dynamics, Passive Control and Circuit Design

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