Methods of Qualitative Theory in Nonlinear Dynamics (World Scientific Series on Nonlinear Science, Series a , Part 1) (Pt. 1)

Bifurcation and chaos has dominated research in nonlinear dynamics for over two decades. This text provides a mathematical bridge between these two disparate levels of exposition. It focuses on the qualitative study of high-dimensional nonlinear dynamical systems. All topics are developed with an introductory background and complete mathematical rigor.