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.
Автор: Freeden Название: Special Functions of Mathematical (Geo-)Physics ISBN: 3034805624 ISBN-13(EAN): 9783034805629 Издательство: Springer Рейтинг: Цена: 14635.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The special functions to be discussed in this monograph vary greatly, depending on the measurement parameters examined (gravitation, electric and magnetic fields, deformation, climate observables, fluid flow, etc.) and on the respective field characteristic (potential field, diffusion field, wave field).
Автор: Moskowitz, Martin Paliogiannis, Fotios Название: Functions of several real variables ISBN: 981429926X ISBN-13(EAN): 9789814299268 Издательство: World Scientific Publishing Рейтинг: Цена: 19483.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Describes the basics of the geometry and topology of Euclidean space and the main topics in the theory of functions of several real variables including limits, differentiation and integration. This title discusses advanced topics, such as Morse`s lemma, Brouwer`s fixed point theorem, Picard`s theorem and the Weierstrass approximation theorem.
Автор: Beardon Название: Iteration of Rational Functions ISBN: 0387951512 ISBN-13(EAN): 9780387951515 Издательство: Springer Рейтинг: Цена: 7317.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Focuses on complex analytic dynamics. This book provides a organized treatment of the foundations of the theory of iteration of rational functions of a complex variable.
Автор: Burn Название: Numbers and Functions ISBN: 1107444535 ISBN-13(EAN): 9781107444539 Издательство: Cambridge Academ Рейтинг: Цена: 7762.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this updated edition of Numbers and Functions, the reader is invited to tackle each of the key concepts of mathematical analysis in turn, progressing from experience through a structured sequence of over 800 problems to concepts, definitions and proofs of classical real analysis.
Автор: Andrea Bacciotti; Lionel Rosier Название: Liapunov Functions and Stability in Control Theory ISBN: 3642059686 ISBN-13(EAN): 9783642059681 Издательство: Springer Рейтинг: Цена: 17096.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory.
Описание: This book introduces the recent developments in the field and provides major advances in fundamental theory of limit cycles. It considers near Hamiltonian systems using Melnikov function as the main mathematical tool.
Автор: Shashi K. Mishra; Shouyang Wang; Kin Keung Lai Название: V-Invex Functions and Vector Optimization ISBN: 1441945288 ISBN-13(EAN): 9781441945280 Издательство: Springer Рейтинг: Цена: 14025.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume summarizes and synthesizes an aspect of research work that has been done in the area of Generalized Convexity over the past few decades. The authors integrate related research into the book and demonstrate the wide context from which the area has grown and continues to grow.
Автор: V. Jeyakumar; Dinh The Luc Название: Nonsmooth Vector Functions and Continuous Optimization ISBN: 1441944729 ISBN-13(EAN): 9781441944726 Издательство: Springer Рейтинг: Цена: 15855.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Focusing on the study of nonsmooth vector functions, this book presents a comprehensive account of the calculus of generalized Jacobian matrices and their applications to continuous nonsmooth optimization problems, as well as variational inequalities in finite dimensions.
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