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Trends in Nonlinear Analysis
  • Language: en
  • Pages: 427

Trends in Nonlinear Analysis

Applied mathematics is a central connecting link between scientific observations and their theoretical interpretation. Nonlinear analysis has surely contributed major developments which nowadays shape the face of applied mathematics. At the beginning of the millennium, all sciences are expanding at increased speed. Technological, ecological, economical and medical problem solving is a central issue of every modern society. Mathematical models help to expose fundamental structures hidden in these problems and serve as unifying tools to deepen our understanding. What are the new challenges applied mathematics has to face with the increased diversity of scientific problems? In which direction should the classical tools of nonlinear analysis be developed further? How do new available technologies influence the development of the field? How can problems be solved which have been beyond reach in former times? It is the aim of this book to explore new developments in the field by way of discussion of selected topics from nonlinear analysis.

Proceedings of the European Conference on Complex Systems 2012
  • Language: en
  • Pages: 1030

Proceedings of the European Conference on Complex Systems 2012

The European Conference on Complex Systems, held under the patronage of the Complex Systems Society, is an annual event that has become the leading European conference devoted to complexity science. ECCS'12, its ninth edition, took place in Brussels, during the first week of September 2012. It gathered about 650 scholars representing a wide range of topics relating to complex systems research, with emphasis on interdisciplinary approaches. More specifically, the following tracks were covered: 1. Foundations of Complex Systems 2. Complexity, Information and Computation 3. Prediction, Policy and Planning, Environment 4. Biological Complexity 5. Interacting Populations, Collective Behavior 6. Social Systems, Economics and Finance This book contains a selection of the contributions presented at the conference and its satellite meetings. Its contents reflect the extent, diversity and richness of research areas in the field, both fundamental and applied.

Function and Regulation of Cellular Systems
  • Language: en
  • Pages: 448

Function and Regulation of Cellular Systems

  • Type: Book
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  • Published: 2012-12-06
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  • Publisher: Birkhäuser

Current biological research demands the extensive use of sophisticated mathematical methods and computer-aided analysis of experiments and data. This highly interdisciplinary volume focuses on structural, dynamical and functional aspects of cellular systems and presents corresponding experiments and mathematical models. The book may serve as an introduction for biologists, mathematicians and physicists to key questions in cellular systems which can be studied with mathematical models. Recent model approaches are presented with applications in cellular metabolism, intra- and intercellular signaling, cellular mechanics, network dynamics and pattern formation. In addition, applied issues such as tumor cell growth, dynamics of the immune system and biotechnology are included.

Persistence in Spatially Structured Chemostat Competition Models
  • Language: en
  • Pages: 18

Persistence in Spatially Structured Chemostat Competition Models

  • Type: Book
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  • Published: 1998
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  • Publisher: Unknown

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Nonlinear Systems, Vol. 1
  • Language: en
  • Pages: 428

Nonlinear Systems, Vol. 1

  • Type: Book
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  • Published: 2018-09-15
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  • Publisher: Springer

This book is part of a two volume set which presents the analysis of nonlinear phenomena as a long-standing challenge for research in basic and applied science as well as engineering. It discusses nonlinear differential and differential equations, bifurcation theory for periodic orbits and global connections. The integrability and reversibility of planar vector fields and theoretical analysis of classic physical models are sketched. This first volume concentrates on the mathematical theory and computational techniques that are essential for the study of nonlinear science, a second volume deals with real-world nonlinear phenomena in condensed matter, biology and optics.

Managing Complex Tasks with Systems Thinking
  • Language: en
  • Pages: 479

Managing Complex Tasks with Systems Thinking

This book is about improving human decision making and performance in complex tasks. Utilizing systems thinking approach, this book presents innovative and insightful solutions to various managerial issues in various domains including agriculture, education, climate change, digital transformation, health care, supply chains, and sustainability. Practical insights and operational causal models are systematically presented. The key features of the didactic approach of this book are core knowledge, numerous tables and figures throughout the text, system archetypes, and causal loop models. This book serves as a text for college and university courses on Systems Thinking for Management Decision Making in Complex Tasks. Researchers use the developed “causal models” to design and evaluate various decision-aiding technologies. It is used as a source of practical information for a broad community of decision-makers, researchers, and practitioners concerned with the issue of improving human performance in complex organizational tasks.

Nonlinear Waves and Solitons on Contours and Closed Surfaces
  • Language: en
  • Pages: 498

Nonlinear Waves and Solitons on Contours and Closed Surfaces

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.

Synchronization of Integral and Fractional Order Chaotic Systems
  • Language: en
  • Pages: 264

Synchronization of Integral and Fractional Order Chaotic Systems

  • Type: Book
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  • Published: 2015-03-17
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  • Publisher: Springer

This book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems. This is achieved using a combination of analytic, algebraic, geometrical and asymptotical methods to tackle the dynamical feedback stabilization problem. In particular, differential-geometric and algebraic differential concepts reveal important structural properties of chaotic systems and serve as guide for the construction of design procedures for a wide variety of chaotic systems. The basic differential algebraic and geometric concepts are presented in the first few chapters in a novel way as design tools, together with selected exp...

Information Adaptation: The Interplay Between Shannon Information and Semantic Information in Cognition
  • Language: en
  • Pages: 96

Information Adaptation: The Interplay Between Shannon Information and Semantic Information in Cognition

  • Type: Book
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  • Published: 2014-10-04
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  • Publisher: Springer

This monograph demonstrates the interplay between Shannon information and semantic information in cognition. It shows that Shannon’s information acts as driving force for the formation of semantic information; and vice versa, namely, that semantic information participates in the formation of Shannonian information. The authors show that in cognition, Shannonian and semantic information are interrelated as two aspects of a cognitive process termed as information adaptation. In the latter the mind/brain adapts to the environment by the deflating and/or inflating of the information conveyed by the environment. In the process of information adaptation, quantitative variations in Shannon’s information entail different meanings while different meanings affect the quantity of information. The book illustrates the above conceptually and mathematically by reference to three cognitive processes: pattern recognition, face learning and the recognition of a moving object.

Complexity Theory and Uncertainties
  • Language: en
  • Pages: 132

Complexity Theory and Uncertainties

This book provides an overview of recent developments of complexity theory within the realm of social sciences. At a time when global and local social, political, cultural, and economic affairs are engulfed in chaos, this book sheds light on the mechanisms of uncertainties, offering new visions and frameworks for analyzing the nonlinear interactions between individuals, societies, and the environment. From exploring the foundational elements that shape our understanding of humanity, such as worldviews, justice, and trust, to applying complexity theory in the realms of politics, economics, management, strategies, and wars, this monograph provides a comprehensive examination of its far-reachin...