Periodic Solutions of Symmetric Systems of Van Der Pol Equations

The van der Pol equations are related to the so-called self-excited dynamical systems arising in many models of mechanics, electronics, and biology. This book presents the applications of degree theory to set up a standard framework for analyzing the van der Pol systems with symmetric, which provides an equivariant topological information about the existence of solutions and their symmetric properties, and illustrated by several examples. The equivariant degree computational techniques are based on the reduction to the so-called basic maps and the usage of the splitting lemma and multiplicativity property.

Autorentext

Dr. Farzamirad received her PhD from the University of Alberta in 2005. She has taught at University of Virginia, Cal Poly Pomona University, Grant MacEwan University, University of Alberta, and University of Texas at Dallas. She studies Topological Equivariant Methods in Nonlinear Analysis, and applications to Differential Equations.