Oscillation and Stability of Delay Models in Biology, Ravi P. Agarwal; Donal O`Regan; Samir H. Saker
Автор: Ravi P. Agarwal; Donal O`Regan; Samir H. Saker Название: Oscillation and Stability of Delay Models in Biology ISBN: 3319381393 ISBN-13(EAN): 9783319381398 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Researchers in the fields of mathematical modeling, mathematical biology, and population dynamics will be particularly interested in this material.
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
Автор: Constantin Corduneanu Название: Almost Periodic Oscillations and Waves ISBN: 1441918906 ISBN-13(EAN): 9781441918901 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents the latest in almost periodic oscillations and waves. It offers the foundations for the theory as well as the basic facts relating to almost periodicity through six unifying chapters that treat various classes of almost periodic functions.
Автор: Livija Cveticanin Название: Strong Nonlinear Oscillators ISBN: 3319588257 ISBN-13(EAN): 9783319588254 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book outlines an analytical solution procedure of the pure nonlinear oscillator system, offering a solution for free and forced vibrations of the one-degree-of-freedom strong nonlinear system with constant and time variable parameter. Includes exercises.
Описание: An overview of recent advances in the stability and oscillation of autonomous delay differential equations. Topics covered include linear and nonlinear delay and integrodifferential equations, which have potential applications in biological and physical dynamic processes.
Описание: The impact of the NAO on northern Europe has been reviewed in detail, but no work has been done for the Mediterranean, which is the other key area impacted by the NAO. This multidisciplinary work assesses the phenomenon`s impact on the Mediterranean region.
Описание: This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of general dimension with nonautonomous bounded and uniformly continuous coefficients, without other initial assumptions on time-recurrence.
Автор: Grigory V. Osipov; J?rgen Kurths; Changsong Zhou Название: Synchronization in Oscillatory Networks ISBN: 3642090354 ISBN-13(EAN): 9783642090356 Издательство: Springer Рейтинг: Цена: 14365.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This work systematically investigates a large number of oscillatory network configurations that are able to describe many real systems such as electric power grids, lasers or even the heart muscle, to name but a few.
Автор: Polina S. Landa Название: Regular and Chaotic Oscillations ISBN: 3642074235 ISBN-13(EAN): 9783642074233 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text maps out the modern theory of non-linear oscillations. Among the topics are: synchronization and chaotization of self-oscillatory systems and the influence of weak random vibration on modification of characteristics and behaviour of the non-linear systems.
Автор: Christo Pantev; Thomas Elbert; Bernd L?tkenh?ner Название: Oscillatory Event-Related Brain Dynamics ISBN: 1489913092 ISBN-13(EAN): 9781489913098 Издательство: Springer Рейтинг: Цена: 27950.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of a NATO ARW held in Tecklenburg, Germany, September 1-5, 1993.
Автор: Palva Название: Multimodal Oscillation-based Connectivity Theory ISBN: 331932263X ISBN-13(EAN): 9783319322636 Издательство: Springer Рейтинг: Цена: 16979.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Systems-level neuronal mechanisms that coordinate the temporally, anatomically, and functionally distributed neuronal activity into coherent cognitive operations in the human brain have remained poorly understood. In humans, neuronal oscillations and synchronization can be recorded non-invasively with electro- and magnetoencephalography (EEG and MEG) that have excellent temporal resolution and an adequate spatial resolution when combined with source-reconstruction methods. In this book, leading authors in the field describe how recent methodological advances have paved the way to several major breakthroughs in the observations of large-scale synchrony from human non-invasive MEG data.
This volume also presents the caveats influencing analyses of synchronization. These include the non-homogeneous sensitivity of MEG to superficial cortical sources, and, most importantly, the multitude of consequences of linear mixing. Linear mixing is an immense confounder in the sensor-level analyses of synchronization, but is also present at the source level. Approaches that can be used to avoid or compensate for these issues are then discussed.
Thereafter, several authors take up a number of the functional roles that large-scale synchronization has in cognition. The authors assess how the spatio–temporal and –spectral organization and strength of both local and large-scale synchronized networks are associated with conscious sensory perception, visual working memory functions, and attention. These chapters summarize several lines of research showing how the strength of local and inter-areal oscillations in both cortical and subcortical brain structures is correlated with cognitive functions. Together these data suggest that synchronized neuronal oscillations may be a systems-level neuronal mechanism underlying the coordination of distributed processing in human cognition. In line with this argument, other authors go on to describe how oscillations and synchronization are altered in clinical populations, complementing the data presented on healthy subjects.
Importantly, this book includes chapters from authors using many different approaches to the analyses of neuronal oscillations, ranging from local oscillatory activities to the usage of graph theoretical tools in the analyses of synchronization. In this way the present volume provides a comprehensive view on the analyses and functional significance of neuronal oscillations in humans. This book is aimed at doctoral and post-doctoral students as well as research scientists in the fields of cognitive neuroscience, psychology, medicine, and neurosciences.
Описание: A paper of Van der Pol in the Philosophical Magazine of 1926 started up the investigation of this highly nonlinear type of oscillation for which Van der Pol coined the name "relaxation oscillation". The study of relaxation oscillations requires a mathematical analysis which differs strongly from the well-known theory of almost linear oscillations.
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