fractional-order chaotic system
Economic Based Synchronization and Control of New Fractional Order Chaotic System Based on Lyapunov Theorem
... of chaotic fractional-order system has attracted great attention due to its potential application in secure ...of fractional order chaotic system can be divided ...
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Adaptive Impulsive Synchronization for a Class of Delay Fractional-Order Chaotic System
... integer order differentiation and integration to arbitrary non-integer ...the fractional-order derivatives is that they provide an excellent instrument for the description of memory and hereditary ...
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Weak Signal Detection Research by Fractional Order Chaotic System And Non-Detection Area Removed Algorithm
... of chaotic system which were the strong immunity of noise and the sensitivity of the initial value to make the essential change of phase ...the fractional calculus was more than 300 years, but until ...
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Function based hybrid synchronization types and their coexistence in non identical fractional order chaotic systems
... years, fractional calculus has been noticed for having superior characteris- tics over conventional calculus in the modeling dynamics of natural phenomena ...in fractional calculus has been focused on ...
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Control and Synchronization of a Fractional-order Chaotic Financial System
... of fractional-order derivative, and then in fractional-order chaotic system, the definition of stability and synchronization are ...of fractional-order ...
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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 ...
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Conformable Fractional Order Sliding Mode Control for a Class of Fractional Order Chaotic Systems
... of fractional calculus [26-30]. In [26], fractional generalization of concept of stability was ...and fractional Lyapunov direct method were ...of fractional differential systems based on the ...
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Fractional Order Simple Chaotic Oscillator with Saturable Reactors and Its Engineering Applications
... produce chaotic os- ...this system are done with a 1-D approximated linear non autonomous equation which seems to be not very accurate today ...the system as a non-autonomous type. Some oth- er ...
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Robust Adaptive Control for Fractional-order Financial Chaotic Systems with System Uncertainties and External Disturbances
... uncertain fractional-order financial chaotic systems with bounded unknown external disturbances is ...the fractional-order extension of the classical Lyapun- ov stability methods, an ...
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Observer based sliding mode synchronization for a class of fractional order chaotic neural networks
... of fractional-order neural networks (FONNs) based on system ...the fractional Lyapunov stability criterion, the proposed sliding mode observer can guarantee that the synchronization error ...
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Projective synchronization of different uncertain fractional order multiple chaotic systems with input nonlinearity via adaptive sliding mode control
... multiple chaotic systems has received con- siderable attention among scholars in various fields of ...different chaotic systems without the presence of uncertainties and disturbances, and all the parameters ...
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Adaptive fuzzy synchronization of uncertain fractional order chaotic systems with different structures and time delays
... from system uncertainties, such as, sen- sor errors, unknown external disturbances, system modeling errors, which will decrease the control performance if they are not well handled [22, ...accurate ...
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Design of Fractional Order Sliding Mode Controller for Chaos Suppression of Atomic Force Microscope System
... nonlinear fractional order sliding mode controller is proposed to control the chaotic atomic force microscope system in presence of uncertainties and ...suggested fractional ...
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Synchronization of Economic Systems with Fractional Order Dynamics Using Active Sliding Mode Control
... Chaos is a long-term behavior of no periodic in a Deterministic system which shows sensitive dependence on initial conditions. By long-term non-periodic behavior of the dynamical systems we mean that there are ...
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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], financial [38], ...
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Chaos Suppression of a Class of Fractional-Order Chaotic Systems with Order Lying in (1, 2)
... of fractional order systems are based on Lemma ...in fractional-order ...nonlinear system usually contain system variables, it is not very easy to obtain eigenvalues of the ...
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Chaotic incommensurate fractional order Rössler system: active control and synchronization
... linearized system are close to the imaginary ...or chaotic. The problems of suppressing the chaotic oscillations by reducing them to the regular oscillations or suppressing them completely can be ...
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Synchronization Method for a Class of Fractional order and Integer order Chaotic Systems
... driving system given by (8) is considered as a reference ...responding system such that the output signal of responding system given by (9) tracks the output signal of driving ...responding ...
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Control Chaos in System with Fractional Order
... and fractional order differential ...the fractional order differential systems. Therefore, the fractional order systems have been paid more ...the chaotic dynamics and ...
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Chaotic Dynamics of the Fractional-Love Model with an External Force
... fixed, the system exhibited the segmented chaotic state with a different fractional order. Analysis of the systemic dynamics of the fixed fractional orders 194[r] ...
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