Nonlinear Waves and Solitons on Contours and Closed Surfaces

Nonlinear Waves and Solitons on Contours and Closed Surfaces PDF Author: Andrei Ludu
Publisher: Springer Science & Business Media
ISBN: 3540728732
Category : Science
Languages : en
Pages : 467

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Book Description
The present volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such as closed curves and surfaces and other domain contours. The first part of the book introduces the mathematical concept required for treating the manifolds considered. An introduction to the theory of motion of curves and surfaces is given. The second and third parts discuss the modeling of various physical solitons on compact systems.

Nonlinear Waves and Solitons on Contours and Closed Surfaces

Nonlinear Waves and Solitons on Contours and Closed Surfaces PDF Author: Andrei Ludu
Publisher: Springer Science & Business Media
ISBN: 3540728732
Category : Science
Languages : en
Pages : 467

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Book Description
The present volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such as closed curves and surfaces and other domain contours. The first part of the book introduces the mathematical concept required for treating the manifolds considered. An introduction to the theory of motion of curves and surfaces is given. The second and third parts discuss the modeling of various physical solitons on compact systems.

Nonlinear Waves and Solitons on Contours and Closed Surfaces

Nonlinear Waves and Solitons on Contours and Closed Surfaces PDF Author: Andrei Ludu
Publisher: Springer Science & Business Media
ISBN: 3642228941
Category : Drama
Languages : en
Pages : 498

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Book Description
This volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. This book is intended for graduate students and researchers in mathematics, physics and engineering. This new edition has been thoroughly revised, expanded and updated.

Boundaries of a Complex World

Boundaries of a Complex World PDF Author: Andrei Ludu
Publisher: Springer Nature
ISBN: 3031073614
Category : Science
Languages : en
Pages : 372

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Book Description
The 2nd edition of this book provides novel topics and studyies in boundaries of networks and Big Data Systems.The central theme of this book is the extent to which the structure of the free dynamical boundaries of a system controls the evolution of the system as a whole. Applying three orthogonal types of thinking - mathematical, constructivist and morphological, it illustrates these concepts using applications to selected problems from the social and life sciences, as well as economics. In a broader context, it introduces and reviews some modern mathematical approaches to the science of complex systems. Standard modeling approaches (based on non-linear differential equations, dynamic systems, graph theory, cellular automata, stochastic processes, or information theory) are suitable for studying local problems. However they cannot simultaneously take into account all the different facets and phenomena of a complex system, and new approaches are required to solve the challenging problem of correlations between phenomena at different levels and hierarchies, their self-organization and memory-evolutive aspects, the growth of additional structures and are ultimately required to explain why and how such complex systems can display both robustness and flexibility. This graduate-level text addresses a broader interdisciplinary audience, keeping the mathematical level essentially uniform throughout the book, and involving only basic elements from calculus, algebra, geometry and systems theory.

Deutsche Nationalbibliografie

Deutsche Nationalbibliografie PDF Author: Die deutsche Nationalbibliothek
Publisher:
ISBN:
Category :
Languages : de
Pages : 830

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Book Description


Radio Science

Radio Science PDF Author:
Publisher:
ISBN:
Category : Radio meteorology
Languages : en
Pages : 876

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Biogeochemistry of Inland Waters

Biogeochemistry of Inland Waters PDF Author: Gene E. Likens
Publisher: Academic Press
ISBN: 0123819970
Category : Science
Languages : en
Pages : 745

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Book Description
A derivative of the Encyclopedia of Inland Waters, Biogeochemistry of Inland Waters examines the transformation, flux and cycling of chemical compounds in aquatic and terrestrial ecosystems, combining aspects of biology, ecology, geology, and chemistry. Because the articles are drawn from an encyclopedia, they are easily accessible to interested members of the public, such as conservationists and environmental decision makers. - This derivative text describes biogeochemical cycles of organic and inorganic elements and compounds in freshwater ecosystems

Lake Ecosystem Ecology

Lake Ecosystem Ecology PDF Author: Gene E. Likens
Publisher: Academic Press
ISBN: 0123820030
Category : Science
Languages : en
Pages : 478

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Book Description
A derivative of the Encyclopedia of Inland Waters, Lake Ecosystem Ecology examines the workings of the lake and reservoir ecosystems of our planet. Information and perspectives crucial to the understanding and management of current environmental problems are covered, such as eutrophication, acid rain and climate change. Because the articles are drawn from an encyclopedia, the articles are easily accessible to interested members of the public, such as conservationists and environmental decision makers. - Includes an up-to-date summary of global aquatic ecosystems and issues - Covers current environmental problems and management solutions - Features full-color figures and tables to support the text and aid in understanding

Encyclopedia of Inland Waters

Encyclopedia of Inland Waters PDF Author:
Publisher: Academic Press
ISBN: 0123706262
Category : Science
Languages : en
Pages : 2589

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Book Description
Inland aquatic habitats occur world-wide at all scales from marshes, swamps and temporary puddles, to ponds, lakes and inland seas; from streams and creeks to rolling rivers. Vital for biological diversity, ecosystem function and as resources for human life, commerce and leisure, inland waters are a vital component of life on Earth. The Encyclopedia of Inland Waters describes and explains all the basic features of the subject, from water chemistry and physics, to the biology of aquatic creatures and the complex function and balance of aquatic ecosystems of varying size and complexity. Used and abused as an essential resource, it is vital that we understand and manage them as much as we appreciate and enjoy them. This extraordinary reference brings together the very best research to provide the basic and advanced information necessary for scientists to understand these ecosystems – and for water resource managers and consultants to manage and protect them for future generations. Encyclopedic reference to Limnology - a key core subject in ecology taught as a specialist course in universitiesOver 240 topic related articles cover the field Gene Likens is a renowned limnologist and conservationist, Emeritus Director of the Institute of Ecosystems Research, elected member of the American Philosophical Society and recipient of the 2001 National Medal of Science Subject Section Editors and authors include the very best research workers in the field

Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos PDF Author: Steven H. Strogatz
Publisher: CRC Press
ISBN: 0429961111
Category : Mathematics
Languages : en
Pages : 532

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Book Description
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Mathematical Reviews

Mathematical Reviews PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 756

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Book Description