The book "Mathematical modeling of transition processes and limit cycles of movement of vibration shock systems with discontinuous" by D. A. Novikov is a deep and fascinating study in the field of mechanics and mathematical modeling. This work will be of particular interest to those involved in engineering sciences, physics, as well as undergraduate and graduate students studying system dynamics and vibration. In his book, Novikov offers the reader a unique look at complex mechanical systems that are subject to vibrations and shocks. It looks at transition processes and limit cycles in detail, allowing a better understanding of how such systems behave under different conditions. The author uses mathematical models to illustrate the dynamics of these processes, which makes his work not only theoretically valuable, but also practically applicable in engineering practice. One of the book's key themes is the discontinuous motion that is often found in real-world systems. Novikov explains how gaps in motion affect the overall dynamics of the system, and suggests methods for their analysis. This topic is especially relevant for specialists working in the field of development and optimization of vibration shock systems, such as machines and devices, which are subject to sharp changes in load. The book will be useful not only to professional engineers and researchers, but also to students who seek to deepen their knowledge in the field of mechanics and mathematical modeling. It presents both theoretical foundations and practical examples, which makes the material understandable even for those who are just beginning their journey in this field. The author's style is distinguished by clarity and logical presentation, which allows the reader to easily assimilate complex concepts. Novikov not only shares his knowledge, but also inspires further research, encouraging readers to ask questions and seek answers. His previous work has also been highly praised in academia, and this book is no exception. The topics raised in the book cover a wide range of issues, including the sustainability of systems, the impact of external factors on dynamics, and methods of mathematical analysis and modeling. These aspects make Novikov’s work an important contribution to modern science and technology. If you are looking for literature that will help you understand complex mechanical systems and their behavior, then “Mathematical modeling of transients and limit cycles of vibration shock systems with bursting” will be an excellent choice. This book will not only enrich your knowledge, but also provide tools for practical application in your professional activities. Finally, the work of D. A. Novikov is not just a textbook, but a real find for anyone interested in dynamics and mathematical modeling. It will become an indispensable assistant for both students and experienced professionals seeking to expand their horizons in the field of mechanics and engineering. Do not miss the opportunity to immerse yourself in the world of mathematical modeling and discover new horizons in the understanding of vibration shock systems!