Нелинейная динамика

6th Edition. — World Scientific, 2015. — 682 p. — ISBN: 9814583472. The Nonlinear Workbook provides a comprehensive treatment of all the techniques in nonlinear dynamics together with C++, Java and SymbolicC++ implementations. The book not only covers the theoretical aspects of the topics but also provides the practical tools. To understand the material, more than 100 worked...

Oxford University Press, 2014. — 112 p. — (Very Short Introductions). The importance of complexity is well-captured by Hawking's comment: "Complexity is the science of the 21st century". From the movement of flocks of birds to the Internet, environmental sustainability, and market regulation, the study and understanding of complex non-linear systems has become highly influential...

3-е изд., доп. — М.: Наука, 1990. — 128 с. Математическое описание катастроф - скачкообразных изменений, возникающих в виде внезапного ответа на плавное изменение внешних условий, дается теориями особенностей и бифуркаций. Их применения к конкретным задачам науки вызвали много споров. В книге рассказывается о том, что же такое теория катастроф и почему она вызывает такие споры....

De Gruyter, 2015. — 394 p. — (De Gruyter Studies in Mathematical Physics 27). — ISBN: 3110316552. This book is devoted to analytically approximate methods in the nonlinear dynamics of a rigid body with cavities partly filled by liquid. It combines several methods and compares the results with experimental data. It is useful for experienced and early-stage readers interested in...

Springer, 2019. — 232 p. — (Nonlinear Systems and Complexity 22). — ISBN: 3319785117. This book collects recent developments in nonlinear and complex systems. It provides up-to-date theoretic developments and new techniques based on a nonlinear dynamical systems approach that can be used to model and understand complex behavior in nonlinear dynamical systems. It covers symmetry...

Springer International Publishing AG, 2018. — 497 p. — (Studies in Systems, Decision and Control 133). — ISBN: 331971242X. This book highlights the latest findings on nonlinear dynamical systems including two types of attractors: self-excited and hidden attractors. Further, it presents both theoretical and practical approaches to investigating nonlinear dynamical systems with...

Springer International Publishing AG, 2018. — 224 p. — ISBN: 3319781928. This book addresses the fascinating phenomena associated with nonlinear waves and spatio-temporal patterns. These appear almost everywhere in nature from sand bed forms to brain patterns, and yet their understanding still presents fundamental scientific challenges. The reader will learn here, in...

Amsterdam: Springer, 2019. — 296 p. This book covers both classical and modern analytical methods in nonlinear systems. A wide range of applications from fundamental research to engineering problems are addressed. The book contains seven chapters, each with miscellaneous problems and their detailed solutions. More than 100 practice problems are illustrated, which might be...

Springer, 2023. — 1611 p. — (Synthesis Lectures on Mechanical Engineering). — ISBN 978-3-031-17883-2. This book builds on the fundamental understandings, learned in undergraduate engineering and physics in principles of dynamics and control of mechanical systems. The design of real-world mechanical systems and devices becomes far more complex than the spring-pendulum system to...

New York, USA: Springer-Verlag, 2015. — 660 pp. — (Applied Mathematical Sciences 193).— ISBN10: 1493927051. This monograph provides both an introduction to and a thorough exposition of the theory of rate-independent systems, which the authors have been working on with a lot of collaborators over 15 years. The focus is mostly on fully rate-independent systems, first on an...

De Gruyter, 2017. — 299 p. The book provides a concise and rigor introduction to the fundamentals of methods for solving the principal problems of modern non-linear dynamics. This monograph covers the basic issues of the theory of integrable systems and the theory of dynamical chaos both in nonintegrable conservative and in dissipative systems. A distinguishing feature of the...

CRC Press, 2023. — 393 p. — ISBN: 978-1-003-32803-2. The art of applying mathematics to real-world dynamical problems such as structural dynamics, fluid dynamics, wave dynamics, robot dynamics, etc. can be extremely challenging. Various aspects of mathematical modelling that may include deterministic or uncertain (fuzzy, interval, or stochastic) scenarios, along with integer or...

Springer, 2021. — 389 p. — (IFSR International Series in Systems Science and Systems Engineering, 34). — ISBN 978-3030645328. This monograph presents the most recent progress in bifurcation theory of impulsive dynamical systems with time delays and other functional dependence. It covers not only smooth local bifurcations, but also some non-smooth bifurcation phenomena that are...

Springer, 2021. — 882 p. — ISBN 978-3-030-76131-8. The theory of dynamic equations has many interesting applications in control theory, mathematical economics, mathematical biology, engineering and technology. In some cases, there exists uncertainty, ambiguity, or vague factors in such problems, and fuzzy theory and interval analysis are powerful tools for modeling these...

Springer International Publishing, Switzerland, 2016. — 313 p. — (Developments in Mathematics) — ISBN: 3319448463. This book provides an introduction to the topological classification of smooth structurally stable diffeomorphisms on closed orientable 2- and 3-manifolds.The topological classification is one of the main problems of the theory of dynamical systems and the results...

Springer International Publishing AG, part of Springer Nature, 2017. — 411 p. — (Springer Proceedings in Mathematics & Statistics 205) – ISBN: 978-3-319-64172-0. Dynamical systems as a field have had tremendous impact across mathematics and the sciences that goes far beyond the in-depth study and classification of the qualitative behavior of flows and terations. The...

De Gruyter, 2023. — 337 p. — ISBN 9783111185194. The latest advancements in time scale calculus are the focus of this book. New types of time-scale integral transforms are discussed in the book, along with how they can be used to solve dynamic equations. Novel numerical techniques for partial dynamic equations on time scales are described. New time scale inequalities for...

Springer, 2022. — 195 p. — (Synthesis Lectures on Mathematics & Statistics). — ISBN 978-3-031-11235-5. Динамические уравнения и почти периодические нечеткие функции на шкалах времени This book systematically establishes the almost periodic theory of dynamic equations and presents applications on time scales in fuzzy mathematics and uncertainty theory. The authors introduce a...

Springer, 2021. — 230 p. — (Nonlinear Physical Science). — ISBN 978-981-16-7869-1. The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides different points of view about nonlinear dynamics and...

Springer, 2021. — 479 p. — ISBN 978-3-030-74651-3. This book presents the optimal auxiliary functions method and applies it to various engineering problems and in particular in boundary layer problems. The cornerstone of the presented procedure is the concept of “optimal auxiliary functions” which are needed to obtain accurate results in an efficient way. Unlike other known...

Springer, 2021. — 210 p. — ISBN 978-981-16-2852-8. This book explores recent developments in theoretical research and data analysis of real-world complex systems, organized in three parts, namely Entropy, information, and complexity functions Multistability, oscillations, and rhythmic synchronization Diffusions, rotation, and convection in fluids The collection of works devoted...

Springer, 2021. — 323 p. — (Studies in Systems, Decision and Control, 353). — ISBN 978-3030685997. This book deals with the stabilization issue of infinite dimensional dynamical systems both at the theoretical and applications levels. Systems theory is a branch of applied mathematics, which is interdisciplinary and develops activities in fundamental research which are at the...