Dynamics and Bifurcations of Non-Smooth Mechanical Systems, Remco I. Leine; Henk Nijmeijer
Автор: Simpson David John Warwick Название: Bifurcations In Piecewise-Smooth Continuous Systems ISBN: 9814293849 ISBN-13(EAN): 9789814293846 Издательство: World Scientific Publishing Рейтинг: Цена: 15998.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Real-world systems that involve some non-smooth change are often well-modeled by piecewise-smooth systems. This title presents the results regarding bifurcations of piecewise-smooth, continuous, autonomous systems of ordinary differential equations and maps. It reveals various codimension-two, discontinuity induced bifurcations.
Автор: Hale Название: Dynamics and Bifurcations ISBN: 0387971416 ISBN-13(EAN): 9780387971414 Издательство: Springer Рейтинг: Цена: 11313.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The subject of differential and difference equations is an old and much-honored chapter in science, one which germinated in applied fields such as celestial
mechanics, nonlinear oscillations, and fluid dynamics. In recent years, due primarily to the proliferation of computers, dynamical systems has once more turned to its roots in applications
with perhaps a more mature look. Many of the available books and expository narratives either require extensive mathematical preparation, or are not designed to be used as
textbooks.
The authors have filled this void with the present book.
Описание: From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. Chapter 2 presents 4 examples from nonlinear oscillations. Chapter 3 contains a discussion of the methods of local bifurcation theory for flows and maps, including center manifolds and normal forms. Chapter 4 develops analytical methods of averaging and perturbation theory. Close analysis of geometrically defined two-dimensional maps with complicated invariant sets is discussed in chapter 5. Chapter 6 covers global homoclinic and heteroclinic bifurcations. The final chapter shows how the global bifurcations reappear in degenerate local bifurcations and ends with several more models of physical problems which display these behaviors." #Book Review - Engineering Societies Library, New York#1 "An attempt to make research tools concerning `strange attractors' developed in the last 20 years available to applied scientists and to make clear to research mathematicians the needs in applied works. Emphasis on geometric and topological solutions of differential equations. Applications mainly drawn from nonlinear oscillations." #American Mathematical Monthly#2
Описание: Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical solutions to problems. Hopf bifurcation from a center or a focus is integral to the theory of bifurcation of limit cycles, for which normal form theory is a central tool. Although Hopf bifurcation has been studied for more than half a century, and normal form theory for over 100 years, efficient computation in this area is still a challenge with implications for Hilbert’s 16th problem.This book introduces the most recent developments in this field and provides major advances in fundamental theory of limit cycles. Split into two parts, the first focuses on the study of limit cycles bifurcating from Hopf singularity using normal form theory with later application to Hilbert’s 16th problem, while the second considers near Hamiltonian systems using Melnikov function as the main mathematical tool. Classic topics with new results are presented in a clear and concise manner and are accompanied by the liberal use of illustrations throughout. Containing a wealth of examples and structured algorithms that are treated in detail, a good balance between theoretical and applied topics is demonstrated. By including complete Maple programs within the text, this book also enables the reader to reconstruct the majority of formulas provided, facilitating the use of concrete models for study.Through the adoption of an elementary and practical approach, this book will be of use to graduate mathematics students wishing to study the theory of limit cycles as well as scientists, across a number of disciplines, with an interest in the applications of periodic behavior.
Описание: Presents significant developments in the theory of differential equations. The following subjects are covered: tools for local and global properties of systems and families of systems, nonlocal bifurcations, finiteness properties of Pfaffian functions and of differential equations, geometric interpretation of the Stokes phenomena, and more.
Автор: George Exadaktylos; Ioannis G. Vardoulakis Название: Bifurcations, Instabilities, Degradation in Geomechanics ISBN: 3642080448 ISBN-13(EAN): 9783642080449 Издательство: Springer Рейтинг: Цена: 30606.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is an up-to-date review of developments in the field of bifurcations and instabilities in geomechanics from some of the world`s leading experts. Leading international researchers and practitioners of the topics debate the developments and applications which have occurred over the last few decades.
Описание: Presents many significant developments in the theory of differential equations. This book covers subjects, such as: tools for local and global properties of systems and families of systems, nonlocal bifurcations, finiteness properties of Pfaffian functions and of differential equations, geometric interpretation of the Stokes phenomena, and more.
Автор: Eric Benoit Название: Dynamic Bifurcations ISBN: 3540549005 ISBN-13(EAN): 9783540549000 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Dynamical Bifurcation Theory is concerned with the phenomena that occur in one parameter families of dynamical systems, when the parameter is a slowly varying function of time. This book offers an introduction to this topic.
Автор: Jack K. Hale; H. Buttanri; H?seyin Kocak Название: Dynamics and Bifurcations ISBN: 1461287650 ISBN-13(EAN): 9781461287650 Издательство: Springer Рейтинг: Цена: 11313.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Equations in dimensions one and two constitute the majority of the text, and in particular it is demonstrated that the basic notion of stability and bifurcations of vector fields are easily explained for scalar autonomous equations.
Автор: Jean-Pierre Francoise; Robert Roussarie Название: Bifurcations of Planar Vector Fields ISBN: 3540535098 ISBN-13(EAN): 9783540535096 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A collection of papers on differential equations and dynamical systems which stresses topics relating to Hilbert`s 16th problem. Among these are a solution to Dulac`s problem, results on the multiplicity of singular cycles and results on the zeroes of abelian integrals.
Автор: Boele Braaksma; Hendrik Broer; Floris Takens Название: Dynamical Systems and Bifurcations ISBN: 3540152334 ISBN-13(EAN): 9783540152330 Издательство: Springer Рейтинг: Цена: 3492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
