Dynamical Systems in Theoretical Perspective, Jan Awrejcewicz

Автор: Lawrence Perko
Название: Differential Equations and Dynamical Systems
ISBN: 1461265266 ISBN-13(EAN): 9781461265269
Издательство: Springer
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Цена: 63510.00 T
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Описание: This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems.

Автор: Awrejcewicz
Название: Dynamical Systems in Theoretical Perspective
ISBN: 3319965972 ISBN-13(EAN): 9783319965970
Издательство: Springer
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Цена: 93160.00 T
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Описание: It highlights novel and relevant results on mathematical and numerical problems that can be found in the fields of applied mathematics, physics, mechanics, engineering and the life sciences.The book consists of contributed research chapters addressing a diverse range of problems.

Автор: Morris W. Hirsch
Название: Differential Equations, Dynamical Systems, and an Introduction to Chaos
ISBN: 0123820103 ISBN-13(EAN): 9780123820105
Издательство: Elsevier Science
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Цена: 88690.00 T
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Описание: Suitable for students in the fields of mathematics, science, and engineering, this title provides a theoretical approach to dynamical systems and chaos. It helps them to analyze the types of differential equations that arise in their area of study.

Автор: Robinson, Clark
Название: Dynamical Systems: Stability, Symbolic Dynamics, and Chaos ( Studies in Advanced Mathematics #28 )
ISBN: 0849384958 ISBN-13(EAN): 9780849384950
Издательство: Taylor&Francis
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Цена: 193950.00 T
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Описание: Treats the dynamics of both iteration of functions and solutions of ordinary differential equations. This book introduces various concepts for iteration of functions where the geometry is simpler, but results are interpreted for differential equations. It concentrates on properties of the whole system or subsets of the system.

Автор: Awrejcewicz
Название: Dynamical Systems: Theoretical and Experimental Analysis
ISBN: 3319424076 ISBN-13(EAN): 9783319424071
Издательство: Springer
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Цена: 111790.00 T
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Описание: The book is the second volume of a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the international conference 'Dynamical Systems: Theory and Applications,' held in ??d?, Poland on December 7-10, 2015. The studies give deep insight into new perspectives in analysis, simulation, and optimization of dynamical systems, emphasizing directions for future research. Broadly outlined topics covered include: bifurcation and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, stability of dynamical systems, vibrations of lumped and continuous sytems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.

Автор: Wen Lan
Название: Differentiable Dynamical Systems
ISBN: 1470427990 ISBN-13(EAN): 9781470427993
Издательство: Mare Nostrum (Eurospan)
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Цена: 112860.00 T
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Описание: This is a graduate text in differentiable dynamical systems. It focuses on structural stability and hyperbolicity, a topic that is central to the field. Starting with the basic concepts of dynamical systems, analyzing the historic systems of the Smale horseshoe, Anosov toral automorphisms, and the solenoid attractor, the book develops the hyperbolic theory first for hyperbolic fixed points and then for general hyperbolic sets. The problems of stable manifolds, structural stability, and shadowing property are investigated, which lead to a highlight of the book, the Ω-stability theorem of Smale.While the content is rather standard, a key objective of the book is to present a thorough treatment for some tough material that has remained an obstacle to teaching and learning the subject matter. The treatment is straightforward and hence could be particularly suitable for self-study.

Автор: Meyer, Kenneth Offin, Daniel C.
Название: Introduction to hamiltonian dynamical systems and the n-body problem
ISBN: 3319536907 ISBN-13(EAN): 9783319536903
Издательство: Springer
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Цена: 74530.00 T
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Описание: Providing expanded material on the restricted three body problem and celestial mechanics, the third edition has new material on reduction, orbifolds and the regularization of the Kepler problem, all with applications. It provides a mathematical structure of celestial mechanics for beginners, and will be useful to graduate students and researchers.

Автор: Haddad Wassim M.
Название: A Dynamical Systems Theory of Thermodynamics
ISBN: 0691190143 ISBN-13(EAN): 9780691190143
Издательство: Wiley
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Цена: 97150.00 T
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Описание:

A brand-new conceptual look at dynamical thermodynamics

This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics. In particular, the book uses system-theoretic ideas to bring coherence, clarity, and precision to an important and poorly understood classical area of science. The dynamical systems formalism captures all of the key aspects of thermodynamics, including its fundamental laws, while providing a mathematically rigorous formulation for thermodynamical systems out of equilibrium by unifying the theory of mechanics with that of classical thermodynamics.

This book includes topics on nonequilibrium irreversible thermodynamics, Boltzmann thermodynamics, mass-action kinetics and chemical reactions, finite-time thermodynamics, thermodynamic critical phenomena with continuous and discontinuous phase transitions, information theory, continuum and stochastic thermodynamics, and relativistic thermodynamics.

A Dynamical Systems Theory of Thermodynamics develops a postmodern theory of thermodynamics as part of mathematical dynamical systems theory. The book establishes a clear nexus between thermodynamic irreversibility, the second law of thermodynamics, and the arrow of time to further unify discreteness and continuity, indeterminism and determinism, and quantum mechanics and general relativity in the pursuit of understanding the most fundamental property of the universe--the entropic arrow of time.

Автор: Harald Klingbeil; Ulrich Laier; Dieter Lens
Название: Theoretical Foundations of Synchrotron and Storage Ring RF Systems
ISBN: 3319071874 ISBN-13(EAN): 9783319071879
Издательство: Springer
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Цена: 88500.00 T
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Описание: Theoretical Foundations of Synchrotron and Storage Ring RF Systems

Автор: Panayotis G. Kevrekidis; Jes?s Cuevas-Maraver
Название: A Dynamical Perspective on the ?4 Model
ISBN: 303011838X ISBN-13(EAN): 9783030118389
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book presents a careful selection of the most important developments of the \phi^4 model, offering a judicious summary of this model with a view to future prospects and the challenges ahead. Over the past four decades, the \phi^4 model has been the basis for a broad array of developments in the physics and mathematics of nonlinear waves. From kinks to breathers, from continuum media to discrete lattices, from collisions of solitary waves to spectral properties, and from deterministic to stochastic models of \phi^4 (and \phi^6, \phi^8, \phi^12 variants more recently), this dynamical model has served as an excellent test bed for formulating and testing the ideas of nonlinear science and solitary waves.

Автор: Andrei N. Leznov; Mikhail V. Saveliev
Название: Group-Theoretical Methods for Integration of Nonlinear Dynamical Systems
ISBN: 303489709X ISBN-13(EAN): 9783034897099
Издательство: Springer
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Цена: 46570.00 T
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Описание: It is meant, above all, for physicists who specialize in the field theory and physics of elementary particles and plasma, for mathe- maticians dealing with nonlinear differential equations, differential geometry, and algebra, and the theory of Lie algebras and groups and their representa- tions, and for students and post-graduates in these fields.

Автор: Oded Galor
Название: Discrete Dynamical Systems
ISBN: 3642071856 ISBN-13(EAN): 9783642071850
Издательство: Springer
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Цена: 55890.00 T
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Описание: The book characterizes the fundamental factors that govern the quantitative and qualitative trajectories of a variety of deterministic, discrete dynamical systems, providing solution methods for systems that can be solved analytically and methods of qualitative analysis for those systems that do not permit or necessitate an explicit solution.