Bifurcation And Chaos In Complex Systems

The book presents the recent achievements on bifurcation studies of nonlineardynamical systems. The contributing authors of the book are all distinguishedresear... » 

The book presents the recent achievements on bifurcation studies of nonlineardynamical systems. The contributing authors of the book are all distinguishedresearchers in this interesting subject area. The first two chapters deal withthe fundamental theoretical issues of bifurcation analysis in smooth and nonsmooth dynamical systems. The cell mapping methods are presented for globalbifurcations in stochastic and deterministic nonlinear dynamical systems inthe third chapter. The fourth chapter studies bifurcations and chaos in timevarying parametrically excited nonlinear dynamical systems. The fifth chapterpresents bifurcation analyses of modal interactions in distributed nonlineardynamical systems of circular thin von Karman plates. The theories methods andresults presented in this book are of great interest to scientists andengineers in a wide range of disciplines. This book can be adopted asreferences for mathematicians scientists engineers and graduate studentsconducting research in nonlinear dynamical systems.New Views for Difficult ProblemsNovel Ideas and ConceptsHilberts 16th ProblemNormal Forms in Polynomial Hamiltonian SystemsGrazing Flow in Nonsmooth Dynamical SystemsStochastic and Fuzzy Nonlinear Dynamical SystemsFuzzy BifurcationParametrical Nonlinear SystemsMode Interactions in nonlinear dynamical systems «