Bifurcation theory

Bifurcation theory

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LF/23539737/R
Russian
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The Bifurcation Theory, written by eminent scientists Arnold B. and . , Afraymovich B. C. and Ilyashenko Yu . C. , is a unique study in the field of mathematical theory, which attracts the attention of not only specialists, but also lovers of science. This work is an important contribution to the understanding of the processes occurring in dynamic systems, and opens up new horizons for students, graduate students and anyone interested in mathematics and its applications. The book focuses on the concept of bifurcations - abrupt changes in the behavior of systems when changing parameters. The authors examine in detail how small changes in conditions can lead to radical changes in the dynamics of the system. This phenomenon can be observed in a variety of fields: from physics and biology to economics and sociology. The book not only explains the theoretical foundations of bifurcations, but also illustrates them with concrete examples, which makes the material more accessible and understandable to the reader. “Bifurcation Theory” will be of interest to a wide range of readers . Students and graduate students studying mathematics, physics, engineering or even economics will find in it valuable information and deep analytical approaches. Researchers and practitioners working in the field of dynamic systems will be able to apply this knowledge in their projects and research. In addition, the book can attract the attention of science lovers who seek to understand how the world around us works and how small changes can lead to great consequences. The topics raised in the book cover a wide range of issues related to dynamic systems, including sustainability, chaos, and predictability. The authors discuss how bifurcations can explain complex phenomena in nature and society, such as climate change, economic crises, or even the behavior of animal populations. These topics make the book relevant and important for the modern reader who is looking for answers to the complex questions of our time. The style of the authors is distinguished by clarity and logical presentation, which allows the reader to easily assimilate complex concepts. Arnold W. and . He is known for his work in mathematical physics and the theory of dynamical systems, and Afraymovich V. C. and Ilyashenko Yu . C. They also have a lot of experience in this field..... [ Their joint work in the "Bifurcation Theory" creates a unique synthesis of knowledge and experience, which makes the book not only a textbook, but also a real scientific work. If you are looking for books that are similar in subject matter, pay attention to “Dynamics and Chaos” by Stephen Strogatz or “Critical Phenomena in Statistical Physics” by Lars Eriksson . [DT ] These works also explore complex systems and their behavior, and can be a great addition to your reading. In conclusion, Bifurcation Theory is not just a book about mathematics; it is the key to understanding the complex processes that shape our world. It is able to inspire the reader to explore new areas of science and will help develop critical thinking. If you want to immerse yourself in the world of dynamic systems and discover the mysteries of bifurcations, this book will become your reliable guide.
LF/23539737/R

Data sheet

Name of the Author
Арнольд В.И.
Афраймович В.С.
Ильяшенко Ю.С.
Language
Russian
Release date
2000
Volume
Том 1

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Bifurcation theory

The Bifurcation Theory, written by eminent scientists Arnold B. and . , Afraymovich B. C. and Ilyashenko Yu . C. , is a unique study in the field of mathematica...

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