Two-Dimensional Dynamical Systems in Applications: A Tutorial

Two-Dimensional Dynamical Systems in Applications: A Tutorial

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LF/948317548/R
Russian
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The book “Two-Dimensional Dynamical Systems in Applications: A Tutorial”, prepared by the team of authors, is a unique and comprehensive source of knowledge for those who seek to understand the complex mechanisms of behavior of two-dimensional dynamical systems and their practical application. This publication is a real find for students, teachers, engineers and researchers interested in modern methods of analysis and modeling of dynamic processes in various fields of science and technology. The focus of this book is the study of two-dimensional dynamical systems that play a key role in modeling real-world processes, ranging from biological systems to economic models and engineering tasks. The authors masterfully reveal the basics of the theory, demonstrating how simple mathematical models can describe complex phenomena, and also offer practical methods for their analysis and visualization. Particular attention is paid to the methods of building phase portraits, the study of stability and the behavior of systems near critical points, which makes the book a valuable tool for those who want not only to understand the theory, but also to learn how to apply it in practice. This manual is especially suitable for undergraduate and graduate students studying differential equations, dynamical systems theory, and mathematical modeling. It will also be of interest to engineers, physicists, economists and computer scientists who use two-dimensional models to analyze and predict complex processes. Thanks to a clear and accessible style of presentation, the book is easily perceived even by those who are just beginning to get acquainted with this area, and rich illustrative material helps to better understand and assimilate the material. The topics raised in the book cover a wide range of issues from the foundations of the theory of two-dimensional systems and methods of their research to modern approaches to the analysis of stability and chaos. Particular attention is paid to practical aspects - the development of algorithms, software tools and visualization methods, which makes the manual not only educational material, but also a practical guide to solving actual problems. The authors demonstrate how theoretical knowledge turns into tools for analyzing real systems, which is especially important for those working in applied fields. The author's style, characterized by clarity and logical consistency, makes it easy to assimilate complex concepts and apply them in practice. The book uses modern approaches and examples from real life, which makes the material alive and relevant. A team of authors with extensive experience in mathematics, physics and engineering sciences has created a manual that not only expands the horizons of knowledge, but also inspires new research and development. If you are looking for a book that will help you understand the dynamics of two-dimensional systems and teach you how to apply this knowledge in practice, “Two-dimensional Dynamic Systems in Applications: A Tutorial” will become an indispensable assistant for you. This edition is an excellent choice for those who appreciate deep understanding and want to master modern methods of analyzing complex systems. In a world where dynamics and chaos are becoming more relevant, this book will open up new horizons for you and help you confidently navigate the diversity of modern tasks.
LF/948317548/R

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Two-Dimensional Dynamical Systems in Applications: A Tutorial

The book “Two-Dimensional Dynamical Systems in Applications: A Tutorial”, prepared by the team of authors, is a unique and comprehensive source of knowledge for...

Write your review

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