Bifurcation theory

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The Bifurcation Theory by Arnold B. and . , Ilyashenko Yu. C. Afraymovich V . C. It is a fascinating and in-depth study that immerses the reader in the world of dynamical systems and their changes. This work will certainly be a godsend for those interested in mathematics, physics and even the philosophy of science. The authors, possessing rich experience and deep knowledge in the field of catastrophe theory and nonlinear analysis, offer the reader a unique view of the processes that occur in systems when their parameters change. The book covers a wide range of topics related to bifurcations - moments when small changes in the conditions of the system lead to sharp and unexpected changes in its behavior. This concept is of great importance in various fields of science, including biology, economics, astronomy and even sociology. Readers interested in how and why such dramatic changes occur in nature and society will find many interesting examples and applications of bifurcation theory in this book. "Bifurcation theory" will be especially useful for students and graduate students studying mathematics, physics and engineering sciences, as well as researchers working in the field of complex systems. The book can also attract the attention of science lovers who seek to understand how mathematical models can explain complex phenomena in the real world. The authors use accessible language and illustrative examples, which makes the material understandable even for those who do not have deep knowledge in mathematics. One of the key topics raised in the book is the importance of understanding bifurcations to predict the behavior of complex systems. The authors show how changes in parameters can lead to new states of the system that can be both stable and chaotic. This opens up new horizons for research and practical applications in a variety of fields, from climatology to financial markets. The style of the authors is distinguished by the clarity and logic of the presentation . They skillfully combine theoretical aspects with practical examples, which allows the reader not only to assimilate the material, but also to apply it in practice. This book is not just a textbook, but a real encyclopedia of knowledge that inspires further research and discoveries. Arnold W. and . He is known for his work in disaster theory and mathematical physics, and is the author of many other significant works. Ilyashenko Yu . C. and Afraymovich V. C. They also contributed significantly to the development of dynamical systems theory. Their collaborative work on Bifurcation Theory is a synergy of knowledge and experience that makes the book particularly valuable. If you are looking for literature that will help you to better understand how small changes can cause big consequences, if you want to understand complex systems and their behavior, then the Bifurcation Theory will be a real discovery for you. This book will not only expand your horizons, but also give you the tools to analyze and predict the behavior of systems in various fields. Read, explore and discover new horizons together with the authors of this unique work!
LF/961363431/R
Data sheet
- Name of the Author
- Арнольд В.И.
Афраймович В.С.
Ильяшенко Ю.С. - Language
- Russian
- Release date
- 1985