Fractional-Order Chaotic Systems
Coexistence of identical synchronization, antiphase synchronization and inverse full state hybrid projective synchronization in different dimensional fractional order chaotic systems
... integer-order systems, attention has been recently focused on systems described by fractional-order differential equations [18, ...that fractional-order systems, as ...
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Synchronization of bidirectional N coupled fractional order chaotic systems with ring connection based on antisymmetric structure
... N-coupled fractional-order chaotic systems with ring ...the fractional-order error system into a nonlinear system with special antisymmetric structure and achieve synchronization ...
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Robust adaptive control for fractional order chaotic systems with system uncertainties and external disturbances
... the fractional-order expansion of classical Lyapunov stability method, a robust controller is designed for fractional-order chaotic ...
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Adaptive fuzzy synchronization of uncertain fractional order chaotic systems with different structures and time delays
... Although fractional calculus has a history as long as the integer-order calculus, it has received much attention only in recent several decades because it has been shown that the fractional calculus ...
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Chaos Suppression of a Class of Fractional-Order Chaotic Systems with Order Lying in (1, 2)
... that fractional-order (FO) nonlinear systems can also show higher nonlinearity and complex ...FO chaotic systems have wider applications in secure communication, signal processing, ...
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Conformable Fractional Order Sliding Mode Control for a Class of Fractional Order Chaotic Systems
... nonlinear systems is necessary to design a ...nonlinear systems by means of fractional calculus ...[26], fractional generalization of concept of stability was ...and fractional Lyapunov ...
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Function based hybrid synchronization types and their coexistence in non identical fractional order chaotic systems
... This paper presents new results related to the coexistence of function-based hybrid synchronization types between non-identical incommensurate fractional-order systems characterized by different ...
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Projective synchronization of different uncertain fractional order multiple chaotic systems with input nonlinearity via adaptive sliding mode control
... that chaotic behavior exists in many fractional-order systems such as fractional-order Chen system [27], fractional-order fi- nancial system [28], ...
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Fractional Order Simple Chaotic Oscillator with Saturable Reactors and Its Engineering Applications
... where chaotic systems have been ...der chaotic systems are used. In addition, the use of fractional order chaotic systems increases the safety of such applications ...
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Robust Stabilization of Fractional Order Systems with Interval Uncertainties via Fractional Order Controllers
... a fractional-order controller to stabilize unstable fractional-order open-loop systems with interval uncertainty whereas one does not need to change the poles of the closed-loop system ...
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Synchronization of fractional chaotic systems based on a simple Lyapunov function
... for fractional-order chaotic sys- tems based on a simple Lyapunov ...the fractional-order chaotic ...other fractional-order chaotic systems [, ...
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Synchronization between two non identical fractional order hyperchaotic systems
... of fractional-order chaotic systems has received interest of many ...new fractional- order hyperchaotic system via active control [21], Wang, Yu and Diao in [22] stud- ied the ...
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Synchronization of Economic Systems with Fractional Order Dynamics Using Active Sliding Mode Control
... nonlinear systems and is one of the most important branches on the problem of controlling of ...different chaotic systems the economy chaotic system has been ...of fractional- ...
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Fractional sliding mode control design for robust synchronization and anti-synchronization of fractional order nonlinear chaotic systems in finite time
... and chaotic systems, ...of fractional order chaotic systems,” Chaos, Solitons & Fractals, ...uncertain fractional order chaotic system,” ...
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Synchronization Method for a Class of Fractional order and Integer order Chaotic Systems
... of fractional-order and integer-order chaotic ...and fractional-order stability theories to address the synchronization ...of fractional-order chaotic ...
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Control and Synchronization of a Fractional-order Chaotic Financial System
... of fractional-order chaotic financial ...common fractional derivatives, the general form of linear fractional chaotic systems, the definitions of stability and ...
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Modified generalized projective synchronization of fractional order chaotic Lü systems
... the fractional deriva- tive and numerical algorithm for the fractional-order system is ...novel fractional-order chaotic system is numerically studied and demonstrated by ...
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Adaptive Impulsive Synchronization for a Class of Delay Fractional-Order Chaotic System
... delay fractional-order chaotic ...of fractional-order chaotic systems with an unknown Lipschitz constant and time delay is ...of fractional derivative are briefly ...
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Robust stabilization of a class of three-dimensional uncertain fractional-order non-autonomous systems
... real fractional-order systems, control and stabilization of fractional-order systems have at- tracted the attention of many scholars in the past decade ...the fractional- ...
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A numerical approach for variable-order fractional unified chaotic systems with time-delay
... in fractional- order systems is ...other fractional order chaotic systems have been introduced, such as fractional order Chua [40], Lorenz [43], Chen [24], ...
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