Normal Forms and Unfoldings for Local Dynamical Systems

The largest part of this book is devoted to normal forms divided intosemisimple theory applied when the linear part is diagonalizable and thegeneral theory appl... » 

The largest part of this book is devoted to normal forms divided intosemisimple theory applied when the linear part is diagonalizable and thegeneral theory applied when the linear part is the sum of the semisimple andnilpotent matrices. One of the objectives of this book is to develop all of thenecessary theory from scratch in just the form that is needed for theapplication to normal forms with as little unnecessary terminology aspossible. The intended audience is Ph.D. students and researchers in appliedmathematics theoretical physics and advanced engineering though in principleit could be read by anyone with a sufficient background in linear algebra anddifferential equations. TOCPreface. 1. Two Examples. 2. The splittingproblem for linear operators. 3. Linear Normal Forms. 4. Nonlinear NormalForms. 5. Geometrical Structures in Normal Forms. 6. Selected Topics in LocalBifurcation Theory. Appendix A Rings. Appendix B Modules. Appendix CFormat 2b Generated Recursive Hori. Appendix D Format 2c GeneratedRecursive Deprit. Appendix E On Some Algorithms in Linear Algebra.Bibliography. Index. «