SYNCHRONIZATION OF A CLASS OF SECOND-ORDER NONLINEAR SYSTEMS

Autor(es)

Mijolaro, A. P. ^[1] ; Aberto, L. F. C. ^[1] ; Bretas, N. G. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Elect Engn, EESC, BR-13566590 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 18, n. 11, p. 3461-3471, NOV 2008.
• Citações Web of Science: 0

Resumo

The asymptotic behavior of a class of coupled second-order nonlinear dynamical systems is studied in this paper. Using very mild assumptions on the vector-field, conditions on the coupling parameters that guarantee synchronization are provided. The proposed result does not require solutions to be ultimately bounded in order to prove synchronization, therefore it can be used to study coupled systems that do not globally synchronize, including synchronization of unbounded solutions. In this case, estimates of the synchronization region are obtained. Synchronization of two-coupled nonlinear pendulums and two-coupled Duffing systems are studied to illustrate the application of the proposed theory. (AU)

• Processo FAPESP: 04/06660-3 - Estudos de sincronizacao de sistemas acoplados com aplicacoes em sistemas eletricos de potencia.
• Beneficiário: Ana Paula Mijolaro
• Modalidade de apoio: Bolsas no Brasil - Doutorado