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- W2891479239 endingPage "31" @default.
- W2891479239 startingPage "1" @default.
- W2891479239 abstract "Systems without equilibrium such as electromechanical models with rotation and electrical circuits with cylindrical phase space were studied a long time ago. However, chaotic systems without equilibrium have received significant attention recently after the introduction of hidden attractors. Interestingly, an attractor of a no-equilibrium system is hidden because its basin of attraction does not intersect with any neighborhood of an unstable fixed point. This chapter presents a 3D no-equilibrium system with hidden chaotic attractors. The fundamental qualitative properties of the proposed no-equilibrium system are discovered by using phase portraits, Poincaré map, bifurcation diagram, and Lyapunov exponents. We have designed an electronic circuit to confirm the physical implementation of the theoretical no-equilibrium system. In addition, global chaos antisynchronization of the proposed system is investigated and confirmed by numerical simulations. Finally the fractional-order form of the proposed no-equilibrium chaotic system is studied in detail." @default.
- W2891479239 created "2018-09-27" @default.
- W2891479239 creator A5026091430 @default.
- W2891479239 creator A5026468033 @default.
- W2891479239 creator A5029973339 @default.
- W2891479239 creator A5034196986 @default.
- W2891479239 creator A5043020624 @default.
- W2891479239 creator A5051386391 @default.
- W2891479239 date "2018-01-01" @default.
- W2891479239 modified "2023-09-30" @default.
- W2891479239 title "Dynamics, Circuit Design, Synchronization, and Fractional-Order Form of a No-Equilibrium Chaotic System" @default.
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