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    Wyświetlanie 1-6 z 6
    Tytuł:
    A new modified WINDMI jerk system with exponential and sinusoidal nonlinearities, its bifurcation analysis, multistability, circuit simulation and synchronization design
    Autorzy:
    Mohamed, Mohamad Afendee
    Vaidyanathan, Sundarapandian
    Hannachi, Fareh
    Sambas, Aceng
    Darwin, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/27324008.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    chaos
    jerk systems
    chaotic systems
    Lyapunov exponents
    bifurcation
    multistability
    circuit simulation
    backstepping control
    Opis:
    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.
    Źródło:
    Archives of Control Sciences; 2023, 33, 4; 711--735
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A new multistable jerk chaotic system, its bifurcation analysis, backstepping control-based synchronization design and circuit simulation
    Autorzy:
    Vaidyanathan, Sundarapandian
    Benkouider, Khaled
    Sambas, Aceng
    Powiązania:
    https://bibliotekanauki.pl/articles/2106506.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    chaos
    jerk systems
    bifurcation
    multistability
    attractors
    backstepping control
    circuit design
    Opis:
    In this work, we present results for a new dissipative jerk chaotic system with three quadratic terms in its dynamics.We describe the bifurcation analysis for the new jerk system and also show that the proposed system exhibits multi-stability. Next, we describe a backstepping control-based synchronization design for a pair of new jerk chaotic systems. MATLAB simulations are put forth to exhibit the various findings in this work. Furthermore, we exhibit a circuit simulation for the new jerk system using MultiSim.
    Źródło:
    Archives of Control Sciences; 2022, 32, 1; 123--152
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A new 4-D hyperchaotic system with no equilibrium, its multistability, offset boosting and circuit simulation
    Autorzy:
    Vaidyanathan, Sundarapandian
    Moroz, Irene M.
    Sambas, Aceng
    Powiązania:
    https://bibliotekanauki.pl/articles/229944.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    chaos
    chaotic systems
    hidden attractors
    sliding mode control
    circuit design
    synchronization
    Opis:
    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.
    Źródło:
    Archives of Control Sciences; 2020, 30, 3; 575-597
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A new 4-D hyperchaotic four-wing system, its bifurcation analysis, complete synchronization and circuit simulation
    Autorzy:
    Vaidyanathan, Sundarapandian
    Benkouider, Khaled
    Sambas, Aceng
    Safaan, Samy Abdelwahab
    Powiązania:
    https://bibliotekanauki.pl/articles/2175110.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    multistability
    Hyperchaos
    four-wing systems
    hyperchaotic systems
    synchronization
    sliding mode control
    circuit design
    Opis:
    In this work, we modify the dynamics of 3-D four-wing Li chaotic system (Li et al. 2015) by introducing a feedback controller and obtain a new 4-D hyperchaotic four-wing system with complex properties. We show that the new hyperchaotic four-wing system have three saddle-foci balance points, which are unstable. We carry out a detailed bifurcation analysis for the new hyperchaotic four-wing system and show that the hyperchaotic four-wing system has multistability and coexisting attractors. Using integral sliding mode control, we derive new results for the master-slave synchronization of hyperchaotic four-wing systems. Finally, we design an electronic circuit using MultiSim for real implementation of the new hyperchaotic four-wing system.
    Źródło:
    Archives of Control Sciences; 2022, 32, 3; 507--534
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Bifurcation analysis, circuit design and sliding mode control of a new multistable chaotic population model with one prey and two predators
    Autorzy:
    Vaidyanathan, Sundarapandian
    Benkouider, Khaled
    Sambas, Aceng
    Darwin, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/27312005.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    population biology system
    chaos
    chaotic systems
    synchronization
    sliding mode control
    Multisim
    circuit simulation
    Opis:
    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).
    Źródło:
    Archives of Control Sciences; 2023, 33, 1; 127--153
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A new two-scroll 4-D hyperchaotic system with a unique saddle point equilibrium, its bifurcation analysis, circuit design and a control application to complete synchronization
    Autorzy:
    Vaidyanathan, Sundarapandian
    Moroz, Irene M.
    Sambas, Aceng
    Powiązania:
    https://bibliotekanauki.pl/articles/27312011.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    hyperchaos
    hyperchaotic systems
    bifurcation analysis
    multi-stability analysis
    synchronization
    Multisim
    circuit simulation
    Opis:
    In this work, we present new results for a two-scroll 4-D hyperchaotic system with a unique saddle point equilibrium at the origin. The bifurcation and multi-stability analysis for the new hyperchaotic system are discussed in detail. As a control application, we develop a feedback control based on integral sliding mode control (ISMC) for the complete synchronization of a pair of two-scroll hyperchaotic systems developed in this work. Numerical simulations using Matlab are provided to illustrate the hyperchaotic phase portraits, bifurcation diagrams and synchronization results. Finally, as an electronic application, we simulate the new hyperchaotic system using Multisim for real-world implementations.
    Źródło:
    Archives of Control Sciences; 2023, 33, 2; 277--298
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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