The book "Variations, catastrophes, bifurcations, chaos (task)" by A. P. Kuznetsova is a fascinating and in-depth study of the world of dynamical systems, which opens the door for the reader to the complex and multifaceted world of mathematical models and their application. This work will be a real discovery for both undergraduate and graduate students, as well as for anyone interested in mathematics, physics and engineering. The book explores key concepts, such as oscillations and catastrophes, bifurcations and chaos, that play an important role in understanding the behavior of complex systems. The author not only outlines the theoretical foundations, but also offers a variety of tasks that will help readers consolidate the knowledge gained and apply them in practice. This makes the book not only a tutorial, but also a real practical guide for those who seek a deeper understanding of the dynamics of systems. Kuznetsov, possessing an outstanding gift to explain complex ideas in a simple and accessible language, creates an atmosphere in which the reader feels involved in the process of cognition. His writing style is clear and logical, which makes it easy to perceive even the most complex concepts. The book is filled with examples from real life, which makes the material more understandable and relevant. This work will be interesting not only for students and teachers, but also for practicing engineers, physicists and anyone who wants to understand the basics of the theory of dynamical systems. Readers interested in topics such as chaos theory, nonlinear systems, and mathematical modeling will find many useful ideas and inspirations in this book. The topics raised in the book are relevant to many areas of science and technology. For example, understanding bifurcation can be useful in ecology, where it helps explain how small changes in the environment can lead to dramatic changes in ecosystems. Similarly, the concept of catastrophes can be applied in economics to analyze crisis situations. Kuznetsov masterfully shows how mathematics can be used to solve real problems, which makes his work especially valuable. The book “Variations, catastrophes, bifurcations, chaos (task)” not only enriches the reader with knowledge, but also inspires further research. It can be a great addition to the library for anyone interested in science and mathematics. If you are looking for literature that combines theory and practice, and also offers fascinating challenges to solve, then this edition is exactly what you need. A. P. Kuznetsov is an author who has already established himself in the scientific community . His work covers a wide range of topics related to mathematics and physics, and is always distinguished by a high level of scientific rigor and accessibility. By reading his books, you will be able not only to deepen your knowledge, but also to develop the critical thinking necessary for the analysis of complex systems. If you are looking for books on mathematics, dynamical systems or chaos theory, then “Vogues, catastrophes, bifurcations, chaos (task)” will be a real find for you. This work will not only expand your horizons, but also help you look at familiar things from a new angle. Do not miss the opportunity to immerse yourself in the world of mathematical discoveries with A. P. Kuznetsov!