The Experts below are selected from a list of 8757 Experts worldwide ranked by ideXlab platform

I Leyva - One of the best experts on this subject based on the ideXlab platform.

  • inter layer synchronization in non identical multi layer networks
    Scientific Reports, 2017
    Co-Authors: I Leyva, R Sevillaescoboza, I Sendinanadal, Ricardo Gutierrez, Javier M Buldu, Stefano Boccaletti
    Abstract:

    Inter-layer synchronization is a dynamical process occurring in multi-layer networks composed of identical nodes. This process emerges when all layers are synchronized, while nodes in each layer do not necessarily evolve in unison. So far, the study of such inter-layer synchronization has been restricted to the case in which all layers have an identical connectivity structure. When layers are not identical, the inter-layer synchronous state is no longer a stable solution of the system. Nevertheless, when layers differ in just a few links, an approximate treatment is still feasible, and allows one to gather information on whether and how the system may wander around an inter-layer synchronous configuration. We report the details of an approximate analytical treatment for a two-layer multiplex, which results in the introduction of an extra Inertial Term accounting for structural differences. Numerical validation of the predictions highlights the usefulness of our approach, especially for small or moderate topological differences in the intra-layer coupling. Moreover, we identify a non-trivial relationship connecting the betweenness centrality of the missing links and the intra-layer coupling strength. Finally, by the use of multiplexed layers of electronic circuits, we study the inter-layer synchronization as a function of the removed links.

  • inter layer synchronization in non identical multi layer networks
    arXiv: Adaptation and Self-Organizing Systems, 2016
    Co-Authors: I Leyva, R Sevillaescoboza, I Sendinanadal, Ricardo Gutierrez, Javier M Buldu, Stefano Boccaletti
    Abstract:

    Inter-layer synchronization is a dynamical state occurring in multi-layer networks composed of identical nodes. The state corresponds to have all layers synchronized, with nodes in each layer which do not necessarily evolve in unison. So far, the study of such a solution has been restricted to the case in which all layers had an identical connectivity structure. When layers are not identical, the inter-layer synchronous state is no longer a stable solution of the system. Nevertheless, when layers differ in just a few links, an approximate treatment is still feasible, and allows one to gather information on whether and how the system may wander around an inter-layer synchronous configuration. We report the details of an approximate analytical treatment for a two-layer multiplex, which results in the introduction of an extra Inertial Term accounting for structural differences. Numerical validation of the predictions highlights the usefulness of our approach, especially for small or moderate topological differences in the intra-layer coupling. Moreover, we identify a non-trivial relationship between the betweenness centrality of the missing links and the intra-layer coupling strength. Finally, by the use of two multiplexed identical layers of electronic circuits in a chaotic regime, we study the loss of inter-layer synchronization as a function of the betweenness centrality of the removed links.

Stefano Boccaletti - One of the best experts on this subject based on the ideXlab platform.

  • inter layer synchronization in non identical multi layer networks
    Scientific Reports, 2017
    Co-Authors: I Leyva, R Sevillaescoboza, I Sendinanadal, Ricardo Gutierrez, Javier M Buldu, Stefano Boccaletti
    Abstract:

    Inter-layer synchronization is a dynamical process occurring in multi-layer networks composed of identical nodes. This process emerges when all layers are synchronized, while nodes in each layer do not necessarily evolve in unison. So far, the study of such inter-layer synchronization has been restricted to the case in which all layers have an identical connectivity structure. When layers are not identical, the inter-layer synchronous state is no longer a stable solution of the system. Nevertheless, when layers differ in just a few links, an approximate treatment is still feasible, and allows one to gather information on whether and how the system may wander around an inter-layer synchronous configuration. We report the details of an approximate analytical treatment for a two-layer multiplex, which results in the introduction of an extra Inertial Term accounting for structural differences. Numerical validation of the predictions highlights the usefulness of our approach, especially for small or moderate topological differences in the intra-layer coupling. Moreover, we identify a non-trivial relationship connecting the betweenness centrality of the missing links and the intra-layer coupling strength. Finally, by the use of multiplexed layers of electronic circuits, we study the inter-layer synchronization as a function of the removed links.

  • inter layer synchronization in non identical multi layer networks
    arXiv: Adaptation and Self-Organizing Systems, 2016
    Co-Authors: I Leyva, R Sevillaescoboza, I Sendinanadal, Ricardo Gutierrez, Javier M Buldu, Stefano Boccaletti
    Abstract:

    Inter-layer synchronization is a dynamical state occurring in multi-layer networks composed of identical nodes. The state corresponds to have all layers synchronized, with nodes in each layer which do not necessarily evolve in unison. So far, the study of such a solution has been restricted to the case in which all layers had an identical connectivity structure. When layers are not identical, the inter-layer synchronous state is no longer a stable solution of the system. Nevertheless, when layers differ in just a few links, an approximate treatment is still feasible, and allows one to gather information on whether and how the system may wander around an inter-layer synchronous configuration. We report the details of an approximate analytical treatment for a two-layer multiplex, which results in the introduction of an extra Inertial Term accounting for structural differences. Numerical validation of the predictions highlights the usefulness of our approach, especially for small or moderate topological differences in the intra-layer coupling. Moreover, we identify a non-trivial relationship between the betweenness centrality of the missing links and the intra-layer coupling strength. Finally, by the use of two multiplexed identical layers of electronic circuits in a chaotic regime, we study the loss of inter-layer synchronization as a function of the betweenness centrality of the removed links.

Javier M Buldu - One of the best experts on this subject based on the ideXlab platform.

  • inter layer synchronization in non identical multi layer networks
    Scientific Reports, 2017
    Co-Authors: I Leyva, R Sevillaescoboza, I Sendinanadal, Ricardo Gutierrez, Javier M Buldu, Stefano Boccaletti
    Abstract:

    Inter-layer synchronization is a dynamical process occurring in multi-layer networks composed of identical nodes. This process emerges when all layers are synchronized, while nodes in each layer do not necessarily evolve in unison. So far, the study of such inter-layer synchronization has been restricted to the case in which all layers have an identical connectivity structure. When layers are not identical, the inter-layer synchronous state is no longer a stable solution of the system. Nevertheless, when layers differ in just a few links, an approximate treatment is still feasible, and allows one to gather information on whether and how the system may wander around an inter-layer synchronous configuration. We report the details of an approximate analytical treatment for a two-layer multiplex, which results in the introduction of an extra Inertial Term accounting for structural differences. Numerical validation of the predictions highlights the usefulness of our approach, especially for small or moderate topological differences in the intra-layer coupling. Moreover, we identify a non-trivial relationship connecting the betweenness centrality of the missing links and the intra-layer coupling strength. Finally, by the use of multiplexed layers of electronic circuits, we study the inter-layer synchronization as a function of the removed links.

  • inter layer synchronization in non identical multi layer networks
    arXiv: Adaptation and Self-Organizing Systems, 2016
    Co-Authors: I Leyva, R Sevillaescoboza, I Sendinanadal, Ricardo Gutierrez, Javier M Buldu, Stefano Boccaletti
    Abstract:

    Inter-layer synchronization is a dynamical state occurring in multi-layer networks composed of identical nodes. The state corresponds to have all layers synchronized, with nodes in each layer which do not necessarily evolve in unison. So far, the study of such a solution has been restricted to the case in which all layers had an identical connectivity structure. When layers are not identical, the inter-layer synchronous state is no longer a stable solution of the system. Nevertheless, when layers differ in just a few links, an approximate treatment is still feasible, and allows one to gather information on whether and how the system may wander around an inter-layer synchronous configuration. We report the details of an approximate analytical treatment for a two-layer multiplex, which results in the introduction of an extra Inertial Term accounting for structural differences. Numerical validation of the predictions highlights the usefulness of our approach, especially for small or moderate topological differences in the intra-layer coupling. Moreover, we identify a non-trivial relationship between the betweenness centrality of the missing links and the intra-layer coupling strength. Finally, by the use of two multiplexed identical layers of electronic circuits in a chaotic regime, we study the loss of inter-layer synchronization as a function of the betweenness centrality of the removed links.

I Sendinanadal - One of the best experts on this subject based on the ideXlab platform.

  • inter layer synchronization in non identical multi layer networks
    Scientific Reports, 2017
    Co-Authors: I Leyva, R Sevillaescoboza, I Sendinanadal, Ricardo Gutierrez, Javier M Buldu, Stefano Boccaletti
    Abstract:

    Inter-layer synchronization is a dynamical process occurring in multi-layer networks composed of identical nodes. This process emerges when all layers are synchronized, while nodes in each layer do not necessarily evolve in unison. So far, the study of such inter-layer synchronization has been restricted to the case in which all layers have an identical connectivity structure. When layers are not identical, the inter-layer synchronous state is no longer a stable solution of the system. Nevertheless, when layers differ in just a few links, an approximate treatment is still feasible, and allows one to gather information on whether and how the system may wander around an inter-layer synchronous configuration. We report the details of an approximate analytical treatment for a two-layer multiplex, which results in the introduction of an extra Inertial Term accounting for structural differences. Numerical validation of the predictions highlights the usefulness of our approach, especially for small or moderate topological differences in the intra-layer coupling. Moreover, we identify a non-trivial relationship connecting the betweenness centrality of the missing links and the intra-layer coupling strength. Finally, by the use of multiplexed layers of electronic circuits, we study the inter-layer synchronization as a function of the removed links.

  • inter layer synchronization in non identical multi layer networks
    arXiv: Adaptation and Self-Organizing Systems, 2016
    Co-Authors: I Leyva, R Sevillaescoboza, I Sendinanadal, Ricardo Gutierrez, Javier M Buldu, Stefano Boccaletti
    Abstract:

    Inter-layer synchronization is a dynamical state occurring in multi-layer networks composed of identical nodes. The state corresponds to have all layers synchronized, with nodes in each layer which do not necessarily evolve in unison. So far, the study of such a solution has been restricted to the case in which all layers had an identical connectivity structure. When layers are not identical, the inter-layer synchronous state is no longer a stable solution of the system. Nevertheless, when layers differ in just a few links, an approximate treatment is still feasible, and allows one to gather information on whether and how the system may wander around an inter-layer synchronous configuration. We report the details of an approximate analytical treatment for a two-layer multiplex, which results in the introduction of an extra Inertial Term accounting for structural differences. Numerical validation of the predictions highlights the usefulness of our approach, especially for small or moderate topological differences in the intra-layer coupling. Moreover, we identify a non-trivial relationship between the betweenness centrality of the missing links and the intra-layer coupling strength. Finally, by the use of two multiplexed identical layers of electronic circuits in a chaotic regime, we study the loss of inter-layer synchronization as a function of the betweenness centrality of the removed links.

Wei Xing Zheng - One of the best experts on this subject based on the ideXlab platform.

  • synchronization criteria for Inertial memristor based neural networks with linear coupling
    Neural Networks, 2018
    Co-Authors: Wei Xing Zheng
    Abstract:

    Abstract This paper is concerned with the synchronization problem for an array of memristive neural networks with Inertial Term, linear coupling and time-varying delay. Since parameters in the connection weight matrices are state-dependent, that is to say, the connection weight matrices jump in certain intervals, the mathematical model of the coupled Inertial memristive neural networks can be considered as an interval parametric uncertain system. Based on the interval parametric uncertainty theory, two different synchronization criteria for memristor-based neural networks are obtained by applying the p -matrix measure ( p = 1 , 2 , ∞ , ω ) , Halanay inequality and constructing suitable Lyapunov–Krasovskii functionals. Two simulation examples with fully-connected and nearest neighboring topology are presented to demonstrate the efficiency of the obtained theoretical results.