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Nonlinear Dynamics New Directions
  • Language: en
  • Pages: 243

Nonlinear Dynamics New Directions

  • Type: Book
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  • Published: 2015-02-10
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  • Publisher: Springer

This book, along with its companion volume, Nonlinear Dynamics New Directions: Theoretical Aspects, covers topics ranging from fractal analysis to very specific applications of the theory of dynamical systems to biology. This second volume contains mostly new applications of the theory of dynamical systems to both engineering and biology. The first volume is devoted to fundamental aspects and includes a number of important new contributions as well as some review articles that emphasize new development prospects. The topics addressed in the two volumes include a rigorous treatment of fluctuations in dynamical systems, topics in fractal analysis, studies of the transient dynamics in biological networks, synchronization in lasers, and control of chaotic systems, among others. This book also: · Develops applications of nonlinear dynamics on a diversity of topics such as patterns of synchrony in neuronal networks, laser synchronization, control of chaotic systems, and the study of transient dynamics in biological · Includes a study of self-organized regularity in long-range systems · Explains use of Levenstein's distance for measuring lexical evolution rates

Dynamical Systems
  • Language: en
  • Pages: 328

Dynamical Systems

This book focuses on the interactions between discrete and geometric dynamical systems, and between dynamical systems and theoretical physics and computer science. Accordingly, the contributions revolve around two main topics: (1) interaction between geometric and symbolic systems, with emphasis on tiling problems for quasicrystals, substitutions and their multidimensional generalizations, geodesic and horocycle flow, adic systems; (2) dynamical systems: geometry and chaos, with special interest in smooth ergodic theory, statistical and multifractal properties of chaotic systems, stability and turbulence in extended complex systems.

Fractal Dimensions for Poincare Recurrences
  • Language: en
  • Pages: 258

Fractal Dimensions for Poincare Recurrences

  • Type: Book
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  • Published: 2006-06-21
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  • Publisher: Elsevier

This book is devoted to an important branch of the dynamical systems theory : the study of the fine (fractal) structure of Poincare recurrences -instants of time when the system almost repeats its initial state. The authors were able to write an entirely self-contained text including many insights and examples, as well as providing complete details of proofs. The only prerequisites are a basic knowledge of analysis and topology. Thus this book can serve as a graduate text or self-study guide for courses in applied mathematics or nonlinear dynamics (in the natural sciences). Moreover, the book can be used by specialists in applied nonlinear dynamics following the way in the book. The authors ...

Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot
  • Language: en
  • Pages: 534

Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot

This volume offers an excellent selection of cutting-edge articles about fractal geometry, covering the great breadth of mathematics and related areas touched by this subject. Included are rich survey articles and fine expository papers. The high-quality contributions to the volume by well-known researchers--including two articles by Mandelbrot--provide a solid cross-section of recent research representing the richness and variety of contemporary advances in and around fractal geometry. In demonstrating the vitality and diversity of the field, this book will motivate further investigation into the many open problems and inspire future research directions. It is suitable for graduate students and researchers interested in fractal geometry and its applications. This is a two-part volume. Part 1 covers analysis, number theory, and dynamical systems; Part 2, multifractals, probability and statistical mechanics, and applications.

Nonlinear Dynamics, Chaos, and Complexity
  • Language: en
  • Pages: 198

Nonlinear Dynamics, Chaos, and Complexity

This book demonstrates how mathematical methods and techniques can be used in synergy and create a new way of looking at complex systems. It becomes clear nowadays that the standard (graph-based) network approach, in which observable events and transportation hubs are represented by nodes and relations between them are represented by edges, fails to describe the important properties of complex systems, capture the dependence between their scales, and anticipate their future developments. Therefore, authors in this book discuss the new generalized theories capable to describe a complex nexus of dependences in multi-level complex systems and to effectively engineer their important functions. T...

Dynamical Systems: From Crystal To Chaos, Conference In Honor Of Gerard Rauzy On His 60th Birthday
  • Language: en
  • Pages: 321

Dynamical Systems: From Crystal To Chaos, Conference In Honor Of Gerard Rauzy On His 60th Birthday

This book focuses on the interactions between discrete and geometric dynamical systems, and between dynamical systems and theoretical physics and computer science. Accordingly, the contributions revolve around two main topics: (1) interaction between geometric and symbolic systems, with emphasis on tiling problems for quasicrystals, substitutions and their multidimensional generalizations, geodesic and horocycle flow, adic systems; (2) dynamical systems: geometry and chaos, with special interest in smooth ergodic theory, statistical and multifractal properties of chaotic systems, stability and turbulence in extended complex systems.

LATIN 2010: Theoretical Informatics
  • Language: en
  • Pages: 726

LATIN 2010: Theoretical Informatics

This book constitutes the refereed proceedings of the 9th International Latin American Symposium on Theoretical Informatics, LATIN 2010, held in Oaxaca, Mexico; in April 2010. The 56 revised full papers presented together with the abstracts of 4 invited plenary talks were carefully reviewed and selected from 155 submissions. The papers address a variety of topics in theoretical computer science with a certain focus on algorithms, automata theory and formal languages, coding theory and data compression, algorithmic graph theory and combinatorics, complexity theory, computational algebra, computational biology, computational geometry, computational number theory, cryptography, theoretical aspects of databases and information retrieval, data structures, networks, logic in computer science, machine learning, mathematical programming, parallel and distributed computing, pattern matching, quantum computing and random structures.

LATIN 2008: Theoretical Informatics
  • Language: en
  • Pages: 809

LATIN 2008: Theoretical Informatics

  • Type: Book
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  • Published: 2008-04-04
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  • Publisher: Springer

This proceedings volume examines a range of topics in theoretical computer science, including automata theory, data compression, logic, machine learning, mathematical programming, parallel and distributed computing, quantum computing and random structures.

First Joint International Meeting IMU-SMM Program
  • Language: en
  • Pages: 87

First Joint International Meeting IMU-SMM Program

First Joint International Meeting of the Israel Mathematical Union and the Mexican Mathematical Society Program

Cellular Automata and Discrete Complex Systems
  • Language: en
  • Pages: 211

Cellular Automata and Discrete Complex Systems

  • Type: Book
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  • Published: 2017-05-24
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  • Publisher: Springer

This volume constitutes the thoroughly refereed proceedings of the 23rd IFIP WG 1.5 International Workshop on Cellular Automata and Discrete Complex Systems, AUTOMATA 2017, held in Milan, Italy, in June 2017. The 14 full papers presented together with one full-length invited paper and 2 invited talk abstracts were carefully reviewed and selected from a total of 28 submissions. The papers feature research on correlated models of automata. The topics include aspects and features of such models: dynamics; topological, ergodic, and algebraic aspects; algorithmic and complexity issues; emergent properties; formal languages; symbolic dynamics; tilings; models of parallelism and distributed systems; timing schemes; synchronous versus asynchronous models; phenomenological descriptions; scientific modelling; practical applications.