[PDF] Top 20 Chaos, control, and synchronization in some fractional order difference equations
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Chaos, control, and synchronization in some fractional order difference equations
... and synchronization. Control refers to the adaptive control of a given chaotic sys- tem with the aim of forcing its states to be asymptotically stable, usually converging to- wards zero [22, ...the ... See full document
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Synchronization of Economic Systems with Fractional Order Dynamics Using Active Sliding Mode Control
... the control of complex phenomena for chemical, physical, and biological ...complete synchronization or anti-synchronization is to synchronize the states of slave system identical or opposite to the ... See full document
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Synchronization between two non identical fractional order hyperchaotic systems
... As fractional order chaotic behaviour has a wide range of applications in image processing, secure communication, information encrypion, ...Therefore, synchronization of frac- tional order ... See full document
13
Generalized Synchronization of Typical Fractional Order Chaos System
... of fractional order ...generalized synchronization is λ < 1 r 0 , because negative LEs conditions ensured asymptotic stability of the controlled ...linear fractional order systems D ... See full document
8
Synchronization of fractional order and integer order chaotic (hyper chaotic) systems with different dimensions
... Chaos synchronization is the dynamical process which means making two or more os- cillators keep the same rhythms under a weak interaction ...of fractional-order chaotic dynamical systems has ... See full document
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Synchronization of bidirectional N coupled fractional order chaotic systems with ring connection based on antisymmetric structure
... validate synchronization of N-coupled fractional- order chaotic systems with ring connection by utilizing the bidirectional ...the fractional-order error dynamical system into a ... See full document
16
Master–slave synchronization of a class of fractional order Takagi–Sugeno fuzzy neural networks
... To control the chaos arising in the neural networks, a variety of synchronization schemes have been pro- posed, including projective synchronization [22], event-based synchronization ... See full document
11
Multi quasi synchronization of coupled fractional order neural networks with delays via pinning impulsive control
... of synchronization of coupled fractional-order neural networks has been well ...hybrid synchronization by some proper ...coupled fractional-order complex networks. A ... See full document
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Fractional sliding mode control design for robust synchronization and anti-synchronization of fractional order nonlinear chaotic systems in finite time
... on chaos theory, the prominent features of chaotic systems are that the highly sensitivity to initial ...conditions. Chaos synchronization is a phenomenon that may happen when two, or more, ... See full document
10
Chaotic incommensurate fractional order Rössler system: active control and synchronization
... system, chaos control has gained increasing attention in recent ...a chaos controller is to suppress the chaotic oscillations comple- tely or to reduce them toward regular oscillations ...Many ... See full document
12
Control and Synchronization of a Fractional-order Chaotic Financial System
... phenomenon, chaos has applications in many areas such as secure communication, economics, many other engineering systems, and so ...field, some scholars have established a chaotic financial system with ... See full document
12
Function based hybrid synchronization types and their coexistence in non identical fractional order chaotic systems
... Chaos synchronization refers to a process wherein two dynamical systems (master and slave systems, respectively) adjust their motion to achieve a common behavior, mainly due to a coupling or control ... See full document
12
Observer based sliding mode synchronization for a class of fractional order chaotic neural networks
... mathematics, fractional calculus was born on 17th ...and control theory, can be well modeled by fractional-order differential equations ...a fractional- order system, as ... See full document
15
Control Chaos in System with Fractional Order
... The fractional order system and its potential appli- cation in engineering field become promising and attrac- tive due to the development of the fractional order cal- ...their equations ... See full document
6
Generalized and inverse generalized synchronization of fractional order discrete time chaotic systems with non identical dimensions
... discrete-time fractional system is its stability ...discrete fractional systems is an important subject since it brings us a step closer to establishing the existence of chaos and serves as a basis ... See full document
14
Complex modified generalized projective synchronization of fractional order complex chaos and real chaos
... for chaos synchronization of fractional differential ...for fractional differential equations, where the numerical approximation is a time-domain approach that is more accurate, and the ... See full document
16
Projective synchronization of fractional order delayed neural networks based on the comparison principle
... Neural networks have attracted great attention due to their wide applications, including the signal processing, parallel computation, optimization, and artificial intelligence. The dynamical behaviors of neural networks ... See full document
16
Sine cosine wavelet operational matrix of fractional order integration and its applications in solving the fractional order Riccati differential equations
... The rest of the paper is organized as follows. In the next section, some necessary defi- nitions and mathematical preliminaries of the fractional calculus are introduced. In Sec- tion the error analysis of ... See full document
16
Pinning and adaptive synchronization of fractional order complex dynamical networks with and without time varying delay
... various control techniques, such as pinning control [20], impulsive control [21], adaptive control [22], intermittent control [23] and observer-based control [24], have been ... See full document
23
A Cauchy Problem for Some Fractional q Difference Equations with Nonlocal Conditions
... In this paper, we discussed the problem of nonlocal value for nonlinear fractional q-difference equation. The classical tools of fixed point theorems such as Krasnoselskii’s theorem and Banach’s contraction ... See full document
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