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Multiple-Time-Scale Dynamical Systems
ISBN: 9780387951263 / Angielski / Twarda / 273 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Systems with sub-processes evolving on many different time scales are ubiquitous in applications: chemical reactions, electro-optical and neuro-biological systems, to name just a few. This volume contains papers that expose the state of the art in mathematical techniques for analyzing such systems. Recently developed geometric ideas are highlighted in this work that includes a theory of relaxation-oscillation phenomena in higher dimensional phase spaces. Subtle exponentially small effects result from singular perturbations implicit in certain multiple time scale systems. Their role in the...
Systems with sub-processes evolving on many different time scales are ubiquitous in applications: chemical reactions, electro-optical and neuro-biolog...
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cena:
603,81 |
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Scientific Computing with Ordinary Differential Equations
ISBN: 9780387954622 / Angielski / Twarda / 486 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in re- search and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numeri- cal and symbolic computer systems, dynamical...
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disc...
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cena:
281,76 |
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Normal Forms and Unfoldings for Local Dynamical Systems
ISBN: 9780387954646 / Angielski / Twarda / 500 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The subject of local dynamical systems is concerned with the following two questions: 1. Given an nn matrix A, describe the behavior, in a neighborhood of the origin, of the solutions of all systems of di?erential equations having a rest point at the origin with linear part Ax, that is, all systems of the form x ? = Ax+---, n where x? R and the dots denote terms of quadratic and higher order. 2. Describethebehavior(neartheorigin)ofallsystemsclosetoasystem of the type just described. To answer these questions, the following steps are employed: 1. A normal form is obtained for the general...
The subject of local dynamical systems is concerned with the following two questions: 1. Given an nn matrix A, describe the behavior, in a neighborhoo...
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cena:
201,24 |
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Multiphase Averaging for Classical Systems: With Applications to Adiabatic Theorems
ISBN: 9780387967783 / Angielski / Miękka / 360 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the past several decades many significant results in averaging for systems of ODE's have been obtained. These results have not attracted a tention in proportion to their importance, partly because they have been overshadowed by KAM theory, and partly because they remain widely scattered - and often untranslated - throughout the Russian literature. The present book seeks to remedy that situation by providing a summary, including proofs, of averaging and related techniques for single and multiphase systems of ODE's. The first part of the book surveys most of what is known in the general case...
In the past several decades many significant results in averaging for systems of ODE's have been obtained. These results have not attracted a tention ...
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cena:
402,53 |
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Symmetries and Differential Equations
ISBN: 9780387969961 / Angielski / Twarda / 413 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A major portion of this book discusses work which has appeared since the publication of the book Similarity Methods for Differential Equations, Springer-Verlag, 1974, by the first author and J.D. Cole. The present book also includes a thorough and comprehensive treatment of Lie groups of tranformations and their various uses for solving ordinary and partial differential equations. No knowledge of group theory is assumed. Emphasis is placed on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from...
A major portion of this book discusses work which has appeared since the publication of the book Similarity Methods for Differential Equati...
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cena:
371,20 |
![Dynamics and Bifurcations Jack K. Hale H]seyin Kocak Jerrold E. Marsden 9780387971414 Springer](/9780387971414_dynamics_and_bifurcations.jpg "Dynamics and Bifurcations") |
Dynamics and Bifurcations
ISBN: 9780387971414 / Angielski / Twarda / 574 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In recent years, due primarily to the proliferation of computers, dynamical systems has again returned to its roots in applications. It is the aim of this book to provide undergraduate and beginning graduate students in mathematics or science and engineering with a modest foundation of knowledge. 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. Further, the authors investigate the dynamics of planar autonomous...
In recent years, due primarily to the proliferation of computers, dynamical systems has again returned to its roots in applications. It is the aim of ...
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cena:
325,88 |
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Differential Equations: A Dynamical Systems Approach: Ordinary Differential Equations
ISBN: 9780387972862 / Angielski / Twarda / 350 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM) . The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical...
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disc...
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cena:
297,70 |
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Dynamics of Evolutionary Equations
ISBN: 9780387983479 / Angielski / Twarda / 672 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory and applications of infinite dimensional dynamical systems have attracted the attention of scientists for quite some time. Dynamical issues arise in equations that attempt to model phenomena that change with time. The infi- nite dimensional aspects occur when forces that describe the motion depend on spatial variables, or on the history of the motion. In the case of spatially depen- dent problems, the model equations are generally partial differential equations, and problems that depend on the past give rise to differential-delay equations. Because the nonlinearities occurring in...
The theory and applications of infinite dimensional dynamical systems have attracted the attention of scientists for quite some time. Dynamical issues...
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cena:
603,81 |
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Ordinary Differential Equations
ISBN: 9780387984599 / Angielski / Twarda / 384 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Develops the theory of initial-, boundary-, and eigenvalue problems, real and complex linear systems, asymptotic behavior and stability. Using novel approaches to many subjects, the book emphasizes differential inequalities and treats more advanced topics such as Caratheodory theory, nonlinear boundary value problems and radially symmetric elliptic problems. New proofs are given which use concepts and methods from functional analysis. Applications from mechanics, physics, and biology are included, and exercises, which range from routine to demanding, are dispersed throughout the text....
Develops the theory of initial-, boundary-, and eigenvalue problems, real and complex linear systems, asymptotic behavior and stability. Using novel a...
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cena:
342,14 |
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Symmetry and Integration Methods for Differential Equations
ISBN: 9780387986548 / Angielski / Twarda / 422 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is a significant update of the first four chapters of Symmetries and Differential Equations (1989; reprinted with corrections, 1996), by George W. Bluman and Sukeyuki Kumei. Since 1989 there have been considerable developments in symmetry methods (group methods) for differential equations as evidenced by the number of research papers, books, and new symbolic manipulation software devoted to the subject. This is, no doubt, due to the inherent applicability of the methods to nonlinear differential equations. Symmetry methods for differential equations, originally developed by Sophus...
This book is a significant update of the first four chapters of Symmetries and Differential Equations (1989; reprinted with corrections, 1996), by Geo...
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cena:
724,58 |
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Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
ISBN: 9780387986906 / Angielski / Twarda / 301 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. In fact, every linear meromorphic system has a formal solution of a certain form, which can be relatively easily computed, but which generally involves such power series diverging everywhere. In this book the author presents the classical theory of meromorphic systems of ODE in the new light shed upon it by the recent achievements in the theory of summability of formal power series.
Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius...
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cena:
201,24 |
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Basic Theory of Ordinary Differential Equations
ISBN: 9780387986999 / Angielski / Twarda / 469 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The authors' aim is to provide the reader with the very basic knowledge necessary to begin research on differential equations with professional ability. The selection of topics should provide the reader with methods and results that are applicable in a variety of different fields. The text is suitable for a one-year graduate course, as well as a reference book for research mathematicians. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear...
The authors' aim is to provide the reader with the very basic knowledge necessary to begin research on differential equations with professional abilit...
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cena:
523,30 |
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Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory
ISBN: 9780387989310 / Angielski / Twarda / 593 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The triumphant vindication of bold theories-are these not the pride and justification of our life's work? -Sherlock Holmes, The Valley of Fear Sir Arthur Conan Doyle The main purpose of our book is to present and explain mathematical methods for obtaining approximate analytical solutions to differential and difference equations that cannot be solved exactly. Our objective is to help young and also establiShed scientists and engineers to build the skills necessary to analyze equations that they encounter in their work. Our presentation is aimed at developing the insights and techniques that...
The triumphant vindication of bold theories-are these not the pride and justification of our life's work? -Sherlock Holmes, The Valley of Fear Sir Art...
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cena:
342,14 |
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Dynamical Systems : Differential Equations, Maps, and Chaotic Behaviour
ISBN: 9780412390807 / Angielski / Miękka / 330 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text discusses the qualitative properties of dynamical systems including both differential equations and maps, The approach taken relies heavily on examples (supported by extensive exercises, hints to solutions and diagrams to develop the material including a treatment of chaotic behaviour.
This text discusses the qualitative properties of dynamical systems including both differential equations and maps, The approach taken relies heavily ...
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cena:
563,24 |
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Weak and Measure-Valued Solutions to Evolutionary Pdes
ISBN: 9780412577505 / Angielski / Twarda / 336 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph provides a concise treatment of the theory of nonlinear evolutionary partial differential equations. For scalar hyperbolic conservation laws, the well posedness of the initial problem in the whole space as well as the initial boundary value problem in bounded domains is treated. Further, one of the first rigorous mathematical treatments of a class of non-Newtonian fluids is given. The new results, obtained here for both problems, have applications to many rapidly developing areas of physics, biology and mechanical engineering. Weak and Measure-valued Solutions to Evolutionary...
This monograph provides a concise treatment of the theory of nonlinear evolutionary partial differential equations. For scalar hyperbolic conservation...
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cena:
881,59 |
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Handbook of First-Order Partial Differential Equations
ISBN: 9780415272674 / Angielski / Twarda / 518 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Concise and systematic demonstration of about 3000 first order partial differential equations presenting the solutions in a clear way. In the process, many new and exact solutions to linear and nonlinear equations are detailed.
Concise and systematic demonstration of about 3000 first order partial differential equations presenting the solutions in a clear way. In the process,...
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cena:
1175,45 |
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Quantization Methods in the Theory of Differential Equations
ISBN: 9780415273640 / Angielski / Twarda / 368 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume presents a systematic and mathematically rigorous exposition of methods for studying linear partial differential equations. It focuses on quantization of the corresponding objects (states, observables and canonical transformations) in the phase space. The quantization of all three types of classical objects is carried out in a unified way with the use of a special integral transform. This book covers recent as well as established results, treated within the framework of a universal approach. It also includes applications and provides a useful reference text for graduate and...
This volume presents a systematic and mathematically rigorous exposition of methods for studying linear partial differential equations. It focuses on ...
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cena:
1077,50 |
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Stability Domains
ISBN: 9780415308489 / Angielski / Twarda / 336 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Stability Domains is an up-to-date account of stability theory with particular emphasis on stability domains. Beyond the fundamental basis of the theory of dynamical systems, it includes recent developments in the classical Lyapunov stability concept, practical stabiliy properties, and a new Lyapunov methodology for nonlinear systems. It also introduces classical Lyapunov and practical stability theory for time-invariant nonlinear systems in general and for complex (interconnected, large scale) nonlinear dynamical systems in particular. This is a complete treatment of the theory of stability...
Stability Domains is an up-to-date account of stability theory with particular emphasis on stability domains. Beyond the fundamental basis of the theo...
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cena:
783,64 |
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Equations of Mathematical Diffraction Theory
ISBN: 9780415308496 / Angielski / Twarda / 312 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Equations of Mathematical Diffraction Theory focuses on the comparative analysis and development of efficient analytical methods for solving equations of mathematical diffraction theory. Following an overview of some general properties of integral and differential operators in the context of the linear theory of diffraction processes, the authors provide estimates of the operator norms for various ranges of the wave number variation, and then examine the spectral properties of these operators. They also present a new analytical method for constructing asymptotic solutions of boundary integral...
Equations of Mathematical Diffraction Theory focuses on the comparative analysis and development of efficient analytical methods for solving equations...
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cena:
783,64 |
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Hypersingular Integral Equations and Their Applications
ISBN: 9780415309981 / Angielski / Twarda / 416 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A number of new methods for solving singular and hypersingular integral equations have emerged in recent years. This volume presents some of these new methods along with classical exact, approximate, and numerical methods. The authors explore the analysis of hypersingular integral equations based on the theory of pseudodifferential operators and consider one-, two- and multi-dimensional integral equations. The text also presents the discrete closed vortex frame method and some other numerical methods for solving hypersingular integral equations. The treatment includes applications to problems...
A number of new methods for solving singular and hypersingular integral equations have emerged in recent years. This volume presents some of these new...
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cena:
230,14 |
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