Methods Of Qualitative Theory In Nonlinear Dynamics (Part Ii)
eBook - PDF

Methods Of Qualitative Theory In Nonlinear Dynamics (Part Ii)

(Part II)

  1. 592 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Methods Of Qualitative Theory In Nonlinear Dynamics (Part Ii)

(Part II)

About this book

Bifurcation and chaos has dominated research in nonlinear dynamics for over two decades, and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book has been written to serve that unfulfilled need.Following the footsteps of Poincaré, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in the book have been developed only recently and have not yet appeared in textbook form.In keeping with the self-contained nature of the book, all the topics are developed with introductory background and complete mathematical rigor. Generously illustrated and written at a high level of exposition, this invaluable book will appeal to both the beginner and the advanced student of nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject.

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Yes, you can access Methods Of Qualitative Theory In Nonlinear Dynamics (Part Ii) by Leon O Chua, Leonid P Shilnikov, Andrey L Shilnikov in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Chaotic Behavior in Systems. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Contents
  2. Introduction to Part II
  3. Chapter 7. STRUCTURALLY STABLE SYSTEMS
  4. Chapter 8. BIFURCATIONS OF DYNAMICAL SYSTEMS
  5. Chapter 9. THE BEHAVIOR OF DYNAMICAL SYSTEMS ON STABILITY BOUNDARIES OF EQUILIBRIUM STATES
  6. Chapter 10. THE BEHAVIOR OF DYNAMICAL SYSTEMS ON STABILITY BOUNDARIES OF PERIODIC TRAJECTORIES
  7. Chapter 11. LOCAL BIFURCATIONS ON THE ROUTE OVER STABILITY BOUNDARIES
  8. Chapter 12. GLOBAL BIFURCATIONS AT THE DISAPPEARANCE OF SADDLE-NODE EQUILIBRIUM STATES AND PERIODIC ORBITS
  9. Chapter 13. BIFURCATIONS OF HOMOCLINIC LOOPS OF SADDLE EQUILIBRIUM STATES
  10. Chapter 14. SAFE AND DANGEROUS BOUNDARIES
  11. Appendix C: Examples Problems & Exercises
  12. Bibliography
  13. Index - Parts I & II