Preservation of stability and synchronization in nonlinear systems

G. Fernández-Anaya; J. J. Flores-Godoy; R. Femat; J. J. Álvarez-Ramírez

doi:10.1016/j.physleta.2007.06.017

Preservation of stability and synchronization in nonlinear systems

G. Fernández-Anaya
, J. J. Flores-Godoy
, R. Femat
, J. J. Álvarez-Ramírez

Universidad Iberoamericana
División de Matemáticas Aplicadas y Sistemas Computacionales
Universidad Autónoma Metropolitana Iztapalapa

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Preservation of stability in the presence of structural and/or parametric changes is an important issue in the study of dynamical systems. A specific case is the synchronization of chaos in complex networks where synchronization should be preserved in spite of changes in the network parameters and connectivity. In this work, a methodology to establish conditions for preservation of stability in a class of dynamical system is given in terms of Lyapunov methods. The idea is to construct a group of dynamical transformations under which stability is retained along certain manifolds. Some synchronization examples illustrate the results.

Original language	English
Pages (from-to)	205-212
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	371
Issue number	3
DOIs	https://doi.org/10.1016/j.physleta.2007.06.017
State	Published - 12 Nov 2007
Externally published	Yes

Keywords

Chaotic synchronization
Stability preservation

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10.1016/j.physleta.2007.06.017

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abstract = "Preservation of stability in the presence of structural and/or parametric changes is an important issue in the study of dynamical systems. A specific case is the synchronization of chaos in complex networks where synchronization should be preserved in spite of changes in the network parameters and connectivity. In this work, a methodology to establish conditions for preservation of stability in a class of dynamical system is given in terms of Lyapunov methods. The idea is to construct a group of dynamical transformations under which stability is retained along certain manifolds. Some synchronization examples illustrate the results.",

keywords = "Chaotic synchronization, Stability preservation",

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year = "2007",

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T1 - Preservation of stability and synchronization in nonlinear systems

AU - Fernández-Anaya, G.

AU - Flores-Godoy, J. J.

AU - Femat, R.

AU - Álvarez-Ramírez, J. J.

PY - 2007/11/12

Y1 - 2007/11/12

N2 - Preservation of stability in the presence of structural and/or parametric changes is an important issue in the study of dynamical systems. A specific case is the synchronization of chaos in complex networks where synchronization should be preserved in spite of changes in the network parameters and connectivity. In this work, a methodology to establish conditions for preservation of stability in a class of dynamical system is given in terms of Lyapunov methods. The idea is to construct a group of dynamical transformations under which stability is retained along certain manifolds. Some synchronization examples illustrate the results.

AB - Preservation of stability in the presence of structural and/or parametric changes is an important issue in the study of dynamical systems. A specific case is the synchronization of chaos in complex networks where synchronization should be preserved in spite of changes in the network parameters and connectivity. In this work, a methodology to establish conditions for preservation of stability in a class of dynamical system is given in terms of Lyapunov methods. The idea is to construct a group of dynamical transformations under which stability is retained along certain manifolds. Some synchronization examples illustrate the results.

KW - Chaotic synchronization

KW - Stability preservation

UR - https://www.scopus.com/pages/publications/35549010134

U2 - 10.1016/j.physleta.2007.06.017

DO - 10.1016/j.physleta.2007.06.017

M3 - Artículo

AN - SCOPUS:35549010134

SN - 0375-9601

VL - 371

SP - 205

EP - 212

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 3

ER -

Preservation of stability and synchronization in nonlinear systems

Abstract

Keywords

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