TY - JOUR
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 - http://www.scopus.com/inward/record.url?scp=35549010134&partnerID=8YFLogxK
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 -