Stability of small-amplitude periodic solutions near Hopf bifurcations in time-delayed fully-connected PLL networks
详细信息 查看全文
- 作者：Diego P. Ferruzzo Correa ; a ; diego.ferruzzo@ufabc.edu.br" class="auth_mail" title="E-mail the corresponding author ; Á ; tila M. Buenob ; atila@sorocaba.unesp.br" class="auth_mail" title="E-mail the corresponding author ; José ; R. Castilho Piqueirac ; piqueira@lac.usp.br" class="auth_mail" title="E-mail the corresponding author
- 关键词：Time-delay differential equations ; Networks ; Synchronization ; Hopf bifurcation ; Stability
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：April 2017
- 年：2017
- 卷：45
- 期：Complete
- 页码：66-74
- 全文大小：896 K
文摘
- •
We analyze the stability of small-amplitude periodic solutions near simple Hopf bifurcations for a PLL fully-connected network.
- •
We use the center manifold theorem and the normal form extended to delay-differential equations to achieve the analysis.
- •
Regions in the parameter space were obtained where local stability is guaranteed.
- •
Numerical simulations was used to confirm our theoretical results.