Estimates of Periods and Global Continua of Periodic Solutions for State-Dependent Delay Equations
MetadataShow full item record
We study the global Hopf bifurcation of periodic solutions for one-parameter systems of state-dependent delay differential equations, and specifically we obtain a priori estimates of the periods in terms of certain values of the state-dependent delay along continua of periodic solutions in the Fuller space C(ℝ; ℝ N+1) × ℝ 2. We present an example of three-dimensional state-dependent delay differential equations to illustrate the general results. © 2012 Society for Industrial and Applied Mathematics.