A new 3D chaotic system: Dynamical analysis, electronic circuit design, active control synchronization and chaotic masking communication application

Çiçek, Serdar; Ferikoğlu, Abdullah; Pehlivan, İ̇hsan

doi:10.1016/j.ijleo.2016.01.069

Cited by 84 publications

(33 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Table 2 is a summary of the dynamic characteristics of different parameter values a. Figure 4 shows coexisting multiple attractors of system (4) for different parameter values a. Figure 4(a) shows that the system has the coexisting two-wing period-1 attractors for a � 1; Figure 4(b) shows that the system has two-wing chaotic attractors coexisting when a � 2; Figure 4(c) shows that the phenomenon is very rare, the system has transient chaos, and then transfers to stable state of period-2 for a � 3.2.…”

Section: Multistability In the 5d Memristive Chaotic Systemmentioning

confidence: 99%

“…In recent years, chaos systems have become the subject of many studies in the fields of science and engineering. A large number of new chaotic systems have been proposed one after another, and their application scopes are more and more extensive [1][2][3][4][5][6][7][8]. With the progress of science and technology, chaos has been applied not only to communication [9][10][11][12], image processing [13][14][15], complex networks [16][17][18][19][20][21], synchronization [22][23][24][25][26][27], electronic circuits [28][29][30], and optimization [31][32][33][34][35] but also to encryption studies [36][37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors

Liu

Qian

et al. 2020

Complexity

View full text Add to dashboard Cite

Novel memristive hyperchaotic system designs and their engineering applications have received considerable critical attention. In this paper, a novel multistable 5D memristive hyperchaotic system and its application are introduced. The interesting aspect of this chaotic system is that it has different types of coexisting attractors, chaos, hyperchaos, periods, and limit cycles. First, a novel 5D memristive hyperchaotic system is proposed by introducing a flux-controlled memristor with quadratic nonlinearity into an existing 4D four-wing chaotic system as a feedback term. Then, the phase portraits, Lyapunov exponential spectrum, bifurcation diagram, and spectral entropy are used to analyze the basic dynamics of the 5D memristive hyperchaotic system. For a specific set of parameters, we find an unusual metastability, which shows the transition from chaotic to periodic (period-2 and period-3) dynamics. Moreover, its circuit implementation is also proposed. By using the chaoticity of the novel hyperchaotic system, we have developed a random number generator (RNG) for practical image encryption applications. Furthermore, security analyses are carried out with the RNG and image encryption designs.

show abstract

Section: Multistability In the 5d Memristive Chaotic Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors

Liu

Qian

et al. 2020

Complexity

View full text Add to dashboard Cite

show abstract

“…The results in this study provide a new and in-depth understanding of such systems. Physical realization of chaotic models have been used in different applications such as chaotic masking communications [19] and autonomous robots [20]. Furthermore, the feasibility of the theoretical model can be confirmed via their realizations, which is future work.…”

Section: Discussionmentioning

confidence: 92%

A New Family of Chaotic Systems with Different Closed Curve Equilibrium

Zhu

2019

Mathematics

View full text Add to dashboard Cite

Chaotic systems with hidden attractors, infinite number of equilibrium points and different closed curve equilibrium have received much attention in the past six years. In this work, we introduce a new family of chaotic systems with different closed curve equilibrium. Using the methods of equilibrium points, phase portraits, maximal Lyapunov exponents, Kaplan–Yorke dimension, and eigenvalues, we analyze the dynamical properties of the proposed systems and extend the general knowledge of such systems.

show abstract

“…Adaptable control [16][17][18][19]26,27] is of interest for the synchronization of chaotic systems because of the presence of unknown parameters since the learning laws are continuously updated for maintaining the performance of the system. Other controls are also applied, for example the control by state feedback [28][29][30][31][32][33][34], feedback control with delays [35][36][37][38] or active control [39][40][41][42] which works by considering the error synchronization, here the nonlinearities are eliminated, and the dynamic error equations are decoupled. Finally, synchronization has been used through neural networks [43].…”

Section: Introductionmentioning

confidence: 99%

Design and Implementation of a Microcontroller Based Active Controller for the Synchronization of the Petrzela Chaotic System

et al. 2019

View full text Add to dashboard Cite

This paper presents an active control design for the synchronization of two identical Petrzela chaotic systems (Petrzela, J.; Gotthans, T. New chaotic dynamical system with a conic-shaped equilibrium located on the plane structure. Applied Sciences. 2017, 7, 976) on master-slave configuration. For the active control, the parameters of both systems are assumed to be a priori known, the control law by means of the dynamic of the error synchronization is designed to guarantee the convergence to zero of error states and the synchronization process is verified by numerical simulation. By taking advantage of the execution and implementation facilities of microcontroller based chaotic systems in digital devices, the active controller is implemented in a 32 bits ARM microcontroller. The experimental results were obtained by using the fourth order Runge-Kutta numerical method to integrate the differential equations of the controller, where the results were measured with a digital oscilloscope.

show abstract

A new 3D chaotic system: Dynamical analysis, electronic circuit design, active control synchronization and chaotic masking communication application

Cited by 84 publications

References 43 publications

Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors

Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors

A New Family of Chaotic Systems with Different Closed Curve Equilibrium

Design and Implementation of a Microcontroller Based Active Controller for the Synchronization of the Petrzela Chaotic System

Contact Info

Product

Resources

About