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1
Content available A new three-dimensional chaotic system with a hidden attractor, circuit design and application in wireless mobile robot
100%
Vaidyanathan S. , Sambas A. , Mamat M. , Sanjaya M.
Archives of Control Sciences
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2017
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tom Vol. 27, no. 4
541--554
EN
This research work proposes a new three-dimensional chaotic system with a hidden attractor. The proposed chaotic system consists of only two quadratic nonlinearities and the system possesses no critical points. The phase portraits and basic qualitative properties of the new chaotic system such as Lyapunov exponents and Lyapunov dimension have been described in detail. Finally, we give some engineering applications of the new chaotic system like circuit simulation and control of wireless mobile robot.
2
Content available remote A Digital Image Encryption Algorithm Based on Hyper-chaotic Cellular Neural Network
100%
Peng J. , Zhang D. , Liao X.
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2009
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tom Vol. 90, nr 3
269-282
EN
Using Chaotic characteristics of dynamic system is a promising direction to design cryptosystems that play a pivotal role in a very important engineering application of cognitive informatics, i.e., information assurance and security. However, encryption algorithms based on the lowdimensional chaotic maps face a potential risk of the keystream being reconstructed via return map technique or neural network method. In this paper, we propose a new digital image encryption algorithm that employs a hyper-chaotic cellular neural network. To substantiate its security characteristics, we conduct the following security analyses of the proposed algorithm: key space analysis, sensitivity analysis, information entropy analysis and correlation coefficients analysis of adjacent pixels. The results demonstrate that the proposed encryption algorithm has desirable security properties and can be deployed as a cornerstone in a sound security cryptosystem. The comparison of the proposed algorithm with five other chaos-based image encryption algorithms indicates that our algorithm has a better security performance.
3
Content available A new 4-D dynamical system exhibiting chaos with a line of rest points, its synchronizationand circuit model
100%
Vaidyanathan S. , Sambas A. , Zhang S.
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tom Vol. 29, No. 3
485--506
EN
A new 4-D dynamical system exhibiting chaos is introduced in this work. The proposed nonlinear plant with chaos has an unstable rest point and a line of rest points. Thus, the new nonlinear plant exhibits hidden attractors. A detailed dynamic analysis of the new nonlinear plant using bifurcation diagrams is described. Synchronization result of the new nonlinear plant with itself is achieved using Integral Sliding Mode Control (ISMC). Finally, a circuit modelusing MultiSim of the new 4-D nonlinear plant with chaos is carried out for practical use.
4
Content available A new 4-D dynamical system exhibiting chaos with a line of rest points, its synchronization and circuit model
88%
Vaidyanathan S. , Sambas A. , Zhang S. , Vaidyanathan S. , Sambas A. , Zhang S.
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5
Content available Enhancing medical data security in e-Health systems using biometric-based watermarking
88%
Makhlouf Z. , Laimeche L. , Meraoumia A. , Haouam M. Y.
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tom Vol. 20, no 1
28--55
EN
In the field of Electronic Health (e-Health), Electronic Health Records (EHR) are transmitted between health professionals using e-Health systems for cooperative medical practice, medical monitoring, telemedical expertise, and telemedical imaging. Medical images are a crucial component of EHR and are used in various aspects of telemedicine systems such as expertise, consultation, teaching, and research. However, protecting the authenticity and copyrights of medical images is essential to prevent duplication, modification, or unauthorized distribution. This paper proposes a robust medical image copyright protection method that uses patient palm-print template as watermark and Lorenz chaotic map for template concealing and selecting the appropriate embedding positions in medical images. The novelty of the method lies in optimizing the expected number of modifications per pixel of the medical images after being watermarked. Experimental results indicate that this approach has a high performance with a genuine accept rate of 99.86% and can withstand various image processing attacks, including Gaussian noise, compression, and image rotations, while ensuring personal data security during telemedicine data exchange.
6
Content available A 4-D chaotic hyperjerk system with a hidden attractor, adaptive backstepping control and circuit design
75%
Vaidyanathan S. , Jafari S. , Pham V.-T. , Azar A. T. , Alsaadi F. E.
Archives of Control Sciences
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2018
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tom Vol. 28, No. 2
239--254
EN
A novel 4-D chaotic hyperjerk system with four quadratic nonlinearities is presented in this work. It is interesting that the hyperjerk system has no equilibrium. A chaotic attractor is said to be a hidden attractor when its basin of attraction has no intersection with small neighborhoods of equilibrium points of the system. Thus, our new non-equilibrium hyperjerk system possesses a hidden attractor. Chaos in the system has been observed in phase portraits and verified by positive Lyapunov exponents. Adaptive backstepping controller is designed for the global chaos control of the non-equilibrium hyperjerk system with a hidden attractor. An electronic circuit for realizing the non-equilibrium hyperjerk system is also introduced, which validates the theoretical chaotic model of the hyperjerk system with a hidden chaotic attractor.
7
Content available A new 4-D hyperchaotic system with no equilibrium, its multistability, offset boosting and circuit simulation
75%
Vaidyanathan S. , Moroz I. M. , Sambas A.
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tom Vol. 30, No. 3
575--597
EN
A new 4-D dynamical system with hyperchaos is reported in this work. It is shown that the proposed nonlinear dynamical system with hyperchaos has no equilibrium point. Hence, the new dynamical system exhibits hidden hyperchaotic attractor. An in-depth dynamic analysis of the new hyperchaotic system is carried out with bifurcation transition diagrams, multistability analysis, period-doubling bubbles and offset boosting analysis. Using Integral Sliding Mode Control (ISMC), global hyperchaos synchronization results of the new hyperchaotic system are described in detail. Furthermore, an electronic circuit realization of the new hyperchaotic system has been simulated in MultiSim software version 13.0 and the results of which are in good agreement with the numerical simulations using MATLAB.
8
Content available remote Modelowanie dynamiki chaotycznej w środowisku Matlab-Simulink
75%
Modzelewski P. , Citko W.
Zeszyty Naukowe Akademii Morskiej w Gdyni
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2011
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tom nr 70
45-61
PL
Systemy dynamiczne opisane nieliniowymi równaniami różniczkowymi stanowią efektywny model wielu zjawisk fizycznych. Bardzo interesującą klasę tych systemów tworzą układy generujące deterministyczne drgania chaotyczne. W tym artykule przedstawiono opracowane w środowisku Matlab-Simulink modele wybranych układów chaotycznych. Zaprezentowano także wyniki symulacji uzyskane dla różnych wartości parametrów kontrolnych. Otrzymane rezultaty potwierdzają skuteczność środowiska Matlab w modelowaniu układów chaotycznych.
EN
Nonlinear dynamic systems described by differential equations are an effective model for many physical phenomena. Systems that generate deterministic chaotic oscillations create very interesting class of dynamical systems. In this article, models of selected chaotic systems developed in Matlab- -Simulink environment are presented. As well the simulation results obtained for different values of control parameters are presented. The results confirm the effectiveness of the Matlab modeling of chaotic systems.
9
Content available Chaos in a simple snap system with only one nonlinearity, its adaptive control and real circuit design
75%
Archives of Control Sciences
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2019
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tom 29
10
Content available A new chaotic system with axe-shaped equilibrium, its circuit implementation and adaptive synchronization
75%
Vaidyanathan S. , Sambas A. , Mamat M.
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11
Content available Bifurcation analysis, circuit design and sliding mode control of a new multistable chaotic population model with one prey and two predators
75%
Vaidyanathan S. , Benkouider K. , Sambas A. , Darwin P.
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tom Vol. 33, No. 1
127--153
EN
In this work, we report a new chaotic population biology system with one prey and two predators. Our new chaotic population model is derived by introducing two nonlinear interaction terms between the prey and predator-2 to the Samardzija-Greller population biology system (1988). We show that the new chaotic population biology system has a greater value of Maximal Lyapunov Exponent (MLE) than the Maximal Lyapunov Exponent (MLE) of the Samardzija-Greller population biology system (1988). We carry out a detailed bifurcation analysis of the new chaotic population biology system with one prey and two predators. We also show that the new chaotic population biology model exhibits multistability with coexisting chaotic attractors. Next, we use the integral sliding mode control (ISMC) for the complete synchronization of the new chaotic population biology system with itself, taken as the master and slave chaotic population biology systems. Finally, for practical use of the new chaotic population biology system, we design an electronic circuit design using Multisim (Version 14.0).
12
Content available Chaos in a simple snap system with only one nonlinearity, its adaptive control and real circuit design
75%
Pham V.-T. , Vaidyanathan S. , Volos C. , Jafari S. , Alsaadi F. E. , Alsaadi F. E.
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tom Vol. 29, No. 1
73--96
EN
We study an elegant snap system with only one nonlinear term, which is a quadratic nonlinearity. The snap system displays chaotic attractors, which are controlled easily by changing a system parameter. By using analysis, simulations and a real circuit, the dynamics of such a snap system has been investigated. We also investigate backstepping based adaptive control schemes for the new snap system with unknown parameters.
13
Content available A new 3-D jerk chaotic system with two cubic nonlinearities and its adaptive backstepping control
75%
Vaidyanathan S.
Archives of Control Sciences
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2017
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tom Vol. 27, no. 3
409--439
EN
This paper presents a new seven-term 3-D jerk chaotic system with two cubic nonlinearities. The phase portraits of the novel jerk chaotic system are displayed and the qualitative properties of the jerk system are described. The novel jerk chaotic system has a unique equilibrium at the origin, which is a saddle-focus and unstable. The Lyapunov exponents of the novel jerk chaotic system are obtained as L1 = 0:2974, L2 = 0 and L3 = −3:8974. Since the sum of the Lyapunov exponents of the jerk chaotic system is negative, we conclude that the chaotic system is dissipative. The Kaplan-Yorke dimension of the new jerk chaotic system is found as DKY = 2:0763. Next, an adaptive backstepping controller is designed to globally stabilize the new jerk chaotic system with unknown parameters. Moreover, an adaptive backstepping controller is also designed to achieve global chaos synchronization of the identical jerk chaotic systems with unknown parameters. The backstepping control method is a recursive procedure that links the choice of a Lyapunov function with the design of a controller and guarantees global asymptotic stability of strict feedback systems. MATLAB simulations are shown to illustrate all the main results derived in this work.
14
Content available A new modified WINDMI jerk system with exponential and sinusoidal nonlinearities, its bifurcation analysis, multistability, circuit simulation and synchronization design
63%
Mohamed M. A. , Vaidyanathan S. , Hannachi F. , Sambas A. , Darwin P.
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2023
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tom Vol. 33, No. 4
711--735
EN
In this work, a new 3-D modified WINDMI chaotic jerk system with exponential and sinusoidal nonlinearities is presented and its dynamical behaviours and properties are investigated. Firstly, some properties of the system are studied such as equilibrium points and their stability, Lyapunov exponents and Kaplan-Yorke dimension. Also, we study the new jerk system dynamics using numerical simulations and analyses, including phase portraits, Lyapunouv exponent spectrum, bifurcation diagram and Poincaré map, 0-1 test. Next, we exhibit that the new 3-D chaotic modified WINDMI jerk system has multistability with coexisting chaotic attractors. Moreover, we design an electronic circuit using MultiSim 14.1 for real implementation of the modified WINDMI chaotic jerk system. Finally, we design an active synchronization scheme for the complete synchronization of the modified WINDMI chaotic jerk systems via backstepping control.
15
Content available remote Die Lotka-Volterra-Regeln, der Lautwandel und andere Gedanken
63%
Bluhme H.
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nr 24
141-147
DE
Die Lotka-Volterra-Rechte beziehen sich auf biologische Fakten, einschließlich chaotischer Systeme. Somit können sie auch in Bezug auf Lautwandel angewendet werden, der durch mehrere artikulatorische (analoge) und auditive (digitale) Parameter beeinflusst wird; daher ist Lautwandel nur bedingt vorhersehbar und kann sogar als chaotisch erscheinen. Derselbe Mangel ist in Hinsicht auf viele menschliche Aktivitäten bemerkbar: von Zivilisationen, Geschichte und Ökonomie bis Politik.
EN
The Lotka Volterra Laws, apply to biological facts including chaotic systems. As such they also apply to sound change which is influenced by several articulatory (analogue) and auditory (digital) parameters; therefore sound change is predictable only to a very limited extent and can even seem chaotic. The same shortcoming is apparent in many human activities ranging from civilizations, history and economics to politics.
PL
Prawa Lotki-Volterry stosuje się do faktów biologicznych obejmujących systemy chaotyczne. W związku z tym odnoszą się one również do zmian fonetycznych, na które wpływa wiele parametrów artykulacyjnych (analogowych) i audytywnych (cyfrowych); dlatego też zmiany fonetyczne są przewidywalne jedynie w bardzo ograniczonym stopniu i mogą nawet wydawać się chaotyczne. Takie same problemy dotyczą wielu obszarów aktywności człowieka, zaczynając od cywilizacji, historii i ekonomii, a kończąc na polityce.
16
Content available Hybrid synchronization and parameter estimation of a complex chaotic network of permanent magnet synchronous motors using adaptive integral sliding mode control
51%
Siddique N. , Rehman F. U.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2021
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tom Vol. 69, nr 3
art. no. e137056
EN
The synchronisation of a complex chaotic network of permanent magnet synchronous motor systems has increasing practical importance in the field of electrical engineering. This article presents the control design method for the hybrid synchronization and parameter estimation of ring-connected complex chaotic network of permanent magnet synchronous motor systems. The design of the desired control law is a challenging task for control engineers due to parametric uncertainties and chaotic responses to some specific parameter values. Controllers are designed based on the adaptive integral sliding mode control to ensure hybrid synchronization and estimation of uncertain terms. To apply the adaptive ISMC, firstly the error system is converted to a unique system consisting of a nominal part along with the unknown terms which are computed adaptively. The stabilizing controller incorporating nominal control and compensator control is designed for the error system. The compensator controller, as well as the adopted laws, are designed to get the first derivative of the Lyapunov equation strictly negative. To give an illustration, the proposed technique is applied to 4-coupled motor systems yielding the convergence of error dynamics to zero, estimation of uncertain parameters, and hybrid synchronization of system states. The usefulness of the proposed method has also been tested through computer simulations and found to be valid.
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