Complete synchronization and delayed synchronization in couplings

Lopes, Luís Mário; Fernandes, Sara; Grácio, Clara

doi:10.1007/s11071-014-1764-8

Cited by 16 publications

(7 citation statements)

References 12 publications

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“…At present, the main control methods to achieve synchronization have drive-response control [ 31 – 36 ], feedback control [ 37 ], adaptive control [ 38 ], impulsive control [ 39 ], intermittent control [ 40 ], sliding control [ 41 ] and pinning control [ 42 ]. And the synchronization forms mainly include complete synchronization [ 43 , 44 ], lag synchronization [ 45 – 47 ], generalized synchronization [ 48 , 49 ], etc [ 50 , 51 ].…”

Section: Introductionmentioning

confidence: 99%

Globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays

et al. 2018

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This paper mainly studies the globally fixed-time synchronization of a class of coupled neutral-type neural networks with mixed time-varying delays via discontinuous feedback controllers. Compared with the traditional neutral-type neural network model, the model in this paper is more general. A class of general discontinuous feedback controllers are designed. With the help of the definition of fixed-time synchronization, the upper right-hand derivative and a defined simple Lyapunov function, some easily verifiable and extensible synchronization criteria are derived to guarantee the fixed-time synchronization between the drive and response systems. Finally, two numerical simulations are given to verify the correctness of the results.

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Section: Introductionmentioning

confidence: 99%

Globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays

et al. 2018

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“…n > −2e −h and FCW reduces to We note that for a network satisfying the conditions of any of the these propositions in order to be full-commandable, the smallest commanding coupling constant is ǫ = 1 − e −h , a value that does not depend on the structure of the network, it only depends on the dynamic of the nodes. This value is exactly the same that it is needed in a one-way linear coupling for a dynamical system to command the other one [17]. Further, a completely connected network is as more resistant to a full-command as greater is the network (i.e., as greater is n) and as stronger are the connections between the dynamical systems (i.e., as greater is c).…”

Section: Proposition 3 Considering a Network (1) Such That A Is Diagomentioning

confidence: 87%

“…In fact, since = 0 is an eigenvalue of the coupling matrix A, corresponding to the eigenvector − → 1 , we have Adding a new identical dynamical system, y, to the network, we want to analyze the possibility that, after a transient period, this new node imposes its iterates to all the others. In a coupling, we obtain that using a one-way connection with a coupling strength greater than 1 − e −h , where h is the Lyapunov exponent of the coupled systems [17]. So, we consider that the new node is one-way connected to all nodes of the network, i.e., we consider the new network…”

Section: Introductionmentioning

confidence: 99%

Full command of a network by a new node: some results and examples

2019

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“…In these figures, we can see the values of c for which within a chaotic trajectory s(t). For more details, see [6].…”

Section: Chaotic Windowsmentioning

confidence: 99%

Discrete Dynamical Systems: A Brief Survey

Fernandes

Ramos

Thapa

et al. 2018

J. Inst. Engineering

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Dynamical system is a mathematical formalization for any fixed rule that is described in time dependent fashion. The time can be measured by either of the number systems -integers, real numbers, complex numbers. A discrete dynamical system is a dynamical system whose state evolves over a state space in discrete time steps according to a fixed rule. This brief survey paper is concerned with the part of the work done by José Sousa Ramos [2] and some of his research students. We present the general theory of discrete dynamical systems and present results from applications to geometry, graph theory and synchronization.

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Complete synchronization and delayed synchronization in couplings

Cited by 16 publications

References 12 publications

Globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays

Globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays

Full command of a network by a new node: some results and examples

Discrete Dynamical Systems: A Brief Survey

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