Mathematical Aspects of Modelling Oscillations and Wake Waves in Plasma, By E.V. Chizhonkov

Автор: Guckenheimer John, Holmes Philip
Название: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
ISBN: 0387908196 ISBN-13(EAN): 9780387908199
Издательство: Springer
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Цена: 121110.00 T
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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: Stepanov
Название: Coronal Seismology: Waves and Oscillations in Stellar Coronae
ISBN: 3527409947 ISBN-13(EAN): 9783527409945
Издательство: Wiley
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Цена: 119270.00 T
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Описание: This concise and systematic account of the current state of this new branch of astrophysics presents the theoretical foundations of plasma astrophysics, magneto-hydrodynamics and coronal magnetic structures, taking into account the full range of available observation techniques -- from radio to gamma.

Автор: Y. Kuramoto
Название: Chemical Oscillations, Waves, and Turbulence
ISBN: 3642696910 ISBN-13(EAN): 9783642696916
Издательство: Springer
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Цена: 87070.00 T
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Описание: A fundamental and frequently cited book provides asymptotic methods applicable to the dynamics of self-oscillating fields of the reaction-diffusion type. Graduate level. 40 figures. 1984 edition.

Автор: E.V. Chizhonkov
Название: Mathematical Aspects of Modelling Oscillations and Wake Waves in Plasma
ISBN: 0367255278 ISBN-13(EAN): 9780367255275
Издательство: Taylor&Francis
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Цена: 163330.00 T
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Описание: This book is devoted to research in the actual field of mathematical modeling in modern problems of plasma physics associated with vibrations and wake waves excited by a short high-power laser pulse.

Автор: Franklin, Joel (reed College, Oregon)
Название: Mathematical methods for oscillations and waves
ISBN: 1108488226 ISBN-13(EAN): 9781108488228
Издательство: Cambridge Academ
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Цена: 60190.00 T
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Описание: Anchored in simple and familiar physics problems, the author provides a clear introduction to mathematical methods in a narrative driven and structured manner. Physics, mathematics and engineering students will find 300 problems treated in a sophisticated manner. The insights emerging from Franklin`s treatment make it a valuable teaching resource.

Автор: Sergey G. Glebov, Oleg M. Kiselev, Nikolai N. Tark
Название: Nonlinear Equations with Small Parameter: Volume I: Oscillations and resonances
ISBN: 3110335549 ISBN-13(EAN): 9783110335545
Издательство: Walter de Gruyter
Цена: 148700.00 T
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Описание: This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions and to get unified formulas for the connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms. This first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems. Contents Asymptotic expansions and series Asymptotic methods for solving nonlinear equations Nonlinear oscillator in potential well Autoresonances in nonlinear systems Asymptotics for loss of stability Systems of coupled oscillators

Автор: Toru Ohira; Tohru Uzawa
Название: Mathematical Approaches to Biological Systems
ISBN: 4431554432 ISBN-13(EAN): 9784431554431
Издательство: Springer
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Цена: 130430.00 T
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Описание: This book presents the most recent mathematical approaches to the growing research area of networks, oscillations, and collective motions in the context of biological systems. Bringing together the results of multiple studies of different biological systems, this book sheds light on the relations among these research themes. Included in this book are the following topics: feedback systems with time delay and threshold of sensing (dead zone), robustness of biological networks from the point of view of dynamical systems, the hardware-oriented neuron modeling approach, a universal mechanism governing the entrainment limit under weak forcing, the robustness mechanism of open complex systems, situation-dependent switching of the cues primarily relied on by foraging ants, and group chase and escape. Research on different biological systems is presented together, not separated by specializations or by model systems. Therefore, the book provides diverse perspectives at the forefront of current mathematical research on biological systems, especially focused on networks, oscillations, and collective motions. This work is aimed at advanced undergraduate, graduate, and postdoctoral students, as well as scientists and engineers. It will also be of great use for professionals in industries and service sectors owing to the applicability of topics such as networks and synchronizations.

Автор: Johan Grasman
Название: Asymptotic Methods for Relaxation Oscillations and Applications
ISBN: 0387965130 ISBN-13(EAN): 9780387965130
Издательство: Springer
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Цена: 87070.00 T
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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.

Автор: Sergey Viktorovich Eliseev; Andrey Vladimirovich E
Название: Theory of Oscillations
ISBN: 3030312941 ISBN-13(EAN): 9783030312947
Издательство: Springer
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Цена: 139750.00 T
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Описание: It analyzes problems concerning the dynamic interactions of elements in mechanical oscillatory systems, constructing suitable mathematical models, estimating their dynamic properties, and adapting structural mathematical models to the equivalent forms.

Автор: Pecseli, Hans L.
Название: Waves and Oscillations in Plasmas
ISBN: 1138591297 ISBN-13(EAN): 9781138591295
Издательство: Taylor&Francis
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Цена: 193950.00 T
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Описание: This new edition has been fully updated to address the latest, central issues in modern plasma sciences, working from an introductory to advanced level.

Автор: Pecseli, Hans L. (Department of Physics, University of Oslo, Oslo, Norway)
Название: Waves and Oscillations in Plasmas
ISBN: 1032236426 ISBN-13(EAN): 9781032236421
Издательство: Taylor&Francis
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Цена: 48990.00 T
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Описание: This new edition has been fully updated to address the latest, central issues in modern plasma sciences, working from an introductory to advanced level.

Автор: Narayanan, A. Satya Saha, Swapan K.
Название: Waves and oscillations in nature
ISBN: 1466590939 ISBN-13(EAN): 9781466590939
Издательство: Taylor&Francis
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Цена: 183750.00 T
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Описание:

Waves and oscillations are found in large scales (galactic) and microscopic scales (neutrino) in nature. Their dynamics and behavior heavily depend on the type of medium through which they propagate.