Bifurcation theory

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Bifurcation Theory is an outstanding work by Vladimir Igorevich Arnold, one of the most important mathematicians of the 20th century, who left a notable mark in fields such as differential equations, mechanics, and topology. This book is not just a scientific work, but a real guide to the world of complex dynamical systems, where simple changes can lead to unexpected and sometimes catastrophic consequences. In Bifurcation Theory, Arnold explores how small changes in the parameters of a system can cause dramatic changes in its behavior. This phenomenon, known as bifurcation, is found in many fields, from physics and biology to economics and sociology. The author offers readers a unique perspective on how systems can “branch” by creating new states and forms, and how these changes can be predicted and analyzed. The book will be of interest not only to professional mathematicians and physicists, but also to everyone who is fond of science and wants to understand how complex systems work. Students, graduate students and researchers in the natural and exact sciences will find in it many useful ideas and concepts. But even those who do not have deep knowledge in mathematics will be able to appreciate the beauty and complexity of the processes described if they are ready to plunge into the world of abstract concepts and mathematical models. The topics raised in the book cover a wide range of issues, such as the sustainability of systems, chaos, disasters, and their prediction. Arnold not only explains the theoretical foundations, but also illustrates them with concrete examples from real life. The reader will be able to see how theoretical models are applied to practical problems, which makes the material not only interesting, but also relevant. Arnold's style is clear and logical, which allows the reader to easily follow his thoughts. It masterfully combines rigorous mathematical calculations with intuitive explanations, making complex concepts easily understandable. In Bifurcation Theory, he has a deep love for mathematics and a desire to share his knowledge with others. In addition, Arnold is the author of other well-known works, such as "Geometry and Dynamics" and "Ordinary Differential Equations", which also deserve attention. His contributions to science and education are invaluable, and Bifurcation Theory is another step towards understanding the complex processes that surround us. If you are looking for a book that will not only expand your knowledge, but also inspire new ideas, Bifurcation Theory will be an excellent choice. It is suitable for those who seek a deep understanding of nature and its laws, as well as for lovers of scientific literature who want to understand the complex issues relating to dynamic systems. Do not miss the opportunity to immerse yourself in the world of bifurcations and discover new horizons of science together with Vladimir Igorevich Arnold . This book will be your reliable companion in the study of dynamics and complex systems, opening doors to the exciting world of mathematics and its applications.
LF/41512652/R
Data sheet
- Name of the Author
- Арнольд В.И.
- Language
- Russian