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Synchronization of chaotic systems, a patently nonlinear
phenomenon, has emerged as a highly active interdisciplinary
research topic at the interface of physics, biology, applied
mathematics and engineering sciences. In this connection,
time-delay systems described by delay differential equations have
developed as particularly Last but not least, the presentation as a whole strives for a
balance between the necessary mathematical description of the
basics
This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented.
A good deal of the material presented in this book has been prepared by top experts in the field lecturing in January 1987 at the Winter School on Solitons in Tiruchirapalli, India. The lectures begin at an elementary level but go on to include even the most recent developments in the field. The book makes a handy introduction to the various facets of the soliton concept, and will be useful both to newcomers to the field and to researchers who are interested in developments in new branches of physics and mathematics
Synchronization of chaotic systems, a patently nonlinear
phenomenon, has emerged as a highly active interdisciplinary
research topic at the interface of physics, biology, applied
mathematics and engineering sciences. In this connection,
time-delay systems described by delay differential equations have
developed as particularly Last but not least, the presentation as a whole strives for a
balance between the necessary mathematical description of the
basics
Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics. These are covered in this book from fundamentals to recent developments. The book presents a self-contained treatment of the subject to suit the needs of students, teachers and researchers in physics, mathematics, engineering and applied sciences who wish to gain a broad knowledge of nonlinear dynamics. It describes fundamental concepts, theoretical procedures, experimental and numerical techniques and technological applications of nonlinear dynamics. Numerous examples and problems are included to facilitate the understanding of the concepts and procedures described. In addition to 16 chapters of main material, the book contains 10 appendices which present in-depth mathematical formulations involved in the analysis of various nonlinear systems.
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