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    Wyświetlanie 1-4 z 4
    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 double-scroll 4-D hyperchaotic system with no equilibrium point, its bifurcation analysis, synchronization and circuit design
    Autorzy:
    Vaidyanathan, Sundarapandian
    He, Shaobo
    Simbas, Aceng
    Powiązania:
    https://bibliotekanauki.pl/articles/1409110.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    hyperchaos
    hyperchaotic systems
    hidden attractors
    multistability
    sliding mode control
    circuit design
    Opis:
    In this work, we have developed a new 4-D dynamical system with hyperchaos and hidden attractor. First, by introducing a feedback input control into the 3-D Ma chaos system (2004), we obtain a new 4-D hyperchaos system with no equilibrium point. Thus, we derive a new hyperchaos system with hidden attractor. We carry out an extensive bifurcation analysis of the new hyperchaos model with respect to the three parameters. We also carry out probability density distribution analysis of the new hyperchaotic system. Interestingly, the new nonlinear hyperchaos system exhibits multistability with coexisting attractors. Next, we discuss global hyperchaos self-synchronization for the new hyperchaos system via Integral Sliding Mode Control (ISMC). As an engineering application, we realize the new 4-D hyperchaos system with an electronic circuit via MultiSim. The outputs of the MultiSim hyperchaos circuit show good match with the numerical MATLAB plots of the hyperchaos model. We also analyze the power spectral density (PSD) of the hyperchaos of the state variables using MultiSim.
    Źródło:
    Archives of Control Sciences; 2021, 31, 1; 99-128
    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 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
      Wyświetlanie 1-4 z 4

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