The book “Bifurcation Theory (VINITI Review)”, written by a team of authors led by the outstanding mathematician Vladimir Igorevich Arnold, is a deep and fascinating study in the field of dynamical systems theory. This work is not just a scientific work, but a real guide to the complex and multifaceted phenomena that occur in nature and technology, when the system passes from one state to another, which is called bifurcation. The book focuses on the processes that lead to sharp changes in the behavior of systems when changing parameters. The authors examine in detail how even minor changes in conditions can lead to radically different results. This phenomenon can be observed in a variety of fields: from biology and ecology to physics and engineering. The book helps the reader understand how bifurcations affect stability and chaos in systems, and how this knowledge can be applied in practice. Who can like this book? First of all, it will be of interest to students and graduate students studying mathematics, physics, biology and engineering sciences . It will also attract the attention of researchers working in the field of dynamical systems and chaos theory, as well as anyone interested in complex systems and their behavior. The book is written in accessible language, which makes it understandable even for those who are just beginning to get acquainted with this topic, but at the same time contains a fairly deep analysis for experienced specialists. The topics raised in the book cover a wide range of issues related to bifurcation theory. The authors discuss both classical and modern approaches to the study of dynamical systems, emphasizing the importance of mathematical modeling. They also raise questions about how bifurcations can be used to predict the behavior of complex systems in the real world. This book will be an excellent addition to the library of any researcher, as it not only expands the horizons of understanding, but also inspires new discoveries. The style of the authors is clear and logical, which allows the reader to easily follow their thoughts. Arnold, known for his work in mathematics and dynamical systems theory, brings to the text his unique approach to the analysis and interpretation of data. His other well-known works, such as Geometry and Dynamics and Ordinary Differential Equations, also show his deep understanding of the subject and ability to explain complex concepts in simple language. The book “Bifurcation Theory (VINITI Review)” is not just a textbook, but a real storehouse of knowledge that will help readers deepen their knowledge about dynamical systems and their behavior. It will become an indispensable resource for all who seek to understand how small changes can lead to big consequences, and how this knowledge can be applied in various fields of science and technology. If you are looking for literature that combines theory and practice, explains complex concepts in accessible language, and inspires new research, then this book is exactly what you need. Do not miss the opportunity to immerse yourself in the world of bifurcations and discover new horizons in the understanding of dynamic systems!