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Chaos Theory: Modeling, Simulation And Applications - Selected Papers From The 3rd Chaotic Modeling And Simulation International Conference (Chaos2010)
The work done in chaotic modeling and simulation during the last decades has changed our views of the world around us and has introduced new scientific tools, methods and techniques. Advanced topics of these achievements are included in this volume on Chaos Theory which focuses on Chaotic Modeling, Simulation and Applications of the nonlinear phenomena. This volume includes the best papers presented in the 3rd International Conference on CHAOS. This interdisciplinary conference attracted people from many scientific fields dealing with chaos, nonlinear dynamics, fractals and the works presented and the papers included here are of particular interest that could provide a broad understanding of chaos in its various forms.The chapters relate to many fields of chaos including Dynamical and Nonlinear Systems, Attractors and Fractals, Hydro-Fluid Dynamics and Mechanics, Chaos in Meteorology and Cosmology, Chaos in Biology and Genetics, Chaotic Control, Chaos in Economy and Markets, and Computer Composition and Chaotic Simulations, including related applications.
Progress in Physics, vol. 1/2005
Progress in Physics has been created for publications on advanced studies in theoretical and experimental physics, including related themes from mathematics.
Fractal Reviews in the Natural and Applied Sciences
This book contains state of the art contributions to this rapidly growing research area. It will be of essential value to mathematicians, physicists and engineers working in the fields of fractals and related phenomena and to researchers working in medicine and the life sciences.
Scale Relativity And Fractal Space-time: A New Approach To Unifying Relativity And Quantum Mechanics
This book provides a comprehensive survey of the development of the theory of scale relativity and fractal space-time. It suggests an original solution to the disunified nature of the classical-quantum transition in physical systems, enabling the basis of quantum mechanics on the principle of relativity, provided this principle is extended to scale transformations of the reference system. In the framework of such a newly generalized relativity theory (including position, orientation, motion and now scale transformations), the fundamental laws of physics may be given a general form that unifies and thus goes beyond the classical and quantum regimes taken separately. A related concern of this book is the geometry of space-time, which is described as being fractal and nondifferentiable. It collects and organizes theoretical developments and applications in many fields, including physics, mathematics, astrophysics, cosmology and life sciences.
Simultaneity: Temporal Structures And Observer Perspectives
This book presents an interdisciplinary approach to the question of how observer-participant perspectives are generated, what constrains them and how they may be modified. These questions are of vital importance and must be addressed in any discipline before formulating a hypothesis or designing a model about reality. Both epistemological questions about the nature of temporal nested structures and practical applications of our ability to contextualize are discussed. The resulting temporal observer-participant perspectives reflect approaches to the concept of simultaneity from the viewpoints of philosophers, logicians, cyberneticists and systems theorists, mathematicians, psychologists, medical practitioners, physicists, educationists, economists and musicologists. Although the main focus is on the cognitive sciences, as constraints to observer perspectives arise primarily from this field, the book will appeal to researchers of all disciplines and interested layman readers.
Scaling, Fractals and Wavelets
Scaling is a mathematical transformation that enlarges or diminishes objects. The technique is used in a variety of areas, including finance and image processing. This book is organized around the notions of scaling phenomena and scale invariance. The various stochastic models commonly used to describe scaling — self-similarity, long-range dependence and multi-fractals — are introduced. These models are compared and related to one another. Next, fractional integration, a mathematical tool closely related to the notion of scale invariance, is discussed, and stochastic processes with prescribed scaling properties (self-similar processes, locally self-similar processes, fractionally filtered processes, iterated function systems) are defined. A number of applications where the scaling paradigm proved fruitful are detailed: image processing, financial and stock market fluctuations, geophysics, scale relativity, and fractal time-space.
Computing Anticipatory Systems
The scope of these proceedings is the study, research, and development in the new frontier of science dealing with the paradigm of computing anticipatory systems. A computing anticipatory system is a system which computes its current states in taking into account its anticipatory states. Strong anticipation refers to an anticipation of events built by or embedded in a system. Weak anticipation refers to an anticipation of events predicted or forecast from a model of a system. These proceedings include all the papers by invited speakers who received awards at CASYS'03 as well as a selection of invited papers. Topics include: relativity, quantum mechanics and biophysical systems; anticipatory systems, adaptation and hyperincursion; mathematical models, chaos and soft computing; logic, algorithms and computing systems; living systems, evolution and cognitive models; decision support, enterprise and management models and control systems, simulation and chaos.
