The book reviews the application of discrete fractional operators to biological, chemical reaction and chaotic system with applications in physics....Loe edasi...
Encounters with Chaos and Fractals, Third Edition provides an accessible introduction to chaotic dynamics and fractal geometry. It incorporates important mathematical concepts and backs up the definitions and results with motivation, examples, and a...Loe edasi...
A new strategy to gain clean reliable numerical simulations of chaos and turbulence, namely the Clean Numerical Simulation (CNS), which can greatly reduce numerical noises to a tiny level much smaller than that of true solutions so numerical noise...Loe edasi...
This book provides advance research in the field of applications of Differential Equations in engineering and sciences and offers a theoretical sound background along with case studies....Loe edasi...
The first text to introduce modern topics in dynamical systems at the undergraduate level, the book integrates both theory and computer experiments into its coverage of contemporary ideas in dynamics. Now a classic, this new edition incorporates man...Loe edasi...
Chaos, Noise and Fractals discusses the role of fractals in quantum mechanics, the influence of phase noise in chaos and driven optical systems, and the arithmetic of chaos....Loe edasi...
This book presents the latest investigations in the theory of chaotic systems and their dynamics. It covers some theoretical aspects of the subject arising in the study of both discrete and continuous-time chaotic dynamical systems. The book present...Loe edasi...
Sari: World Scientific Series on Nonlinear Science: Series A
(Ilmumisaeg: 22-Jan-2013, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814374439)
Chaos theory deals with the description of motion (in a general sense) which cannot be predicted in the long term although produced by deterministic system, as well exemplified by meteorological phenomena. This book shows how general is this theory...Loe edasi...
(Ilmumisaeg: 09-Aug-2012, Kirjastus: Oxford University Press, ISBN-13: 9780199566433)
For students with a background in elementary algebra, this book provides a vivid introduction to the key phenomena and ideas of chaos and fractals, including the butterfly effect, strange attractors, fractal dimensions, Julia Sets and the Mandelbrot...Loe edasi...
Sari: World Scientific Series on Nonlinear Science: Series A
(Ilmumisaeg: 18-Oct-2011, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814374088)
Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhoods in the parameter space of a dynamical system. This book explores the definition, sources, and roles of robust chaos. It is suitable for both r...Loe edasi...
Christos H. Skiadas, Yiannis Dimotikalis, Charilaos Skiadas
(Ilmumisaeg: 01-Jun-2011, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814350341)
The work done in chaotic modeling and simulation has changed our views of the world around us and has introduced scientific tools, methods and techniques. This book includes advanced topics of these achievements on Chaos Theory which focuses on Chao...Loe edasi...
(Ilmumisaeg: 07-Apr-2011, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814317313)
Reveals a novel quasi-ergodicity phenomenon involving orbits meandering among omega-limit orbits of complex (group 5) and hyper (group 6) Bernoulli rules. This title uses rigorous analyses to identify 67, out off 256 , local rules whose asymptotic b...Loe edasi...
Sari: World Scientific Series on Nonlinear Science: Series A
(Ilmumisaeg: 08-Mar-2011, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814343640)
Memory is a universal function of organized matter. What is the mathematics of memory? How does memory affect the space-time behaviour of spatially extended systems? This book provides answers to these questions. It focuses on the study of spatially...Loe edasi...
Sari: World Scientific Series on Nonlinear Science: Series B
(Ilmumisaeg: 08-Mar-2011, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814340700)
A collection of review articles that deals with the developments in the study of chaotic dynamical systems with some open problems and challenges. It presents a variety of topics of interest and problems arising in the study of both discrete and con...Loe edasi...
(Ilmumisaeg: 21-Sep-2010, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814322010)
Pendulum is the simplest nonlinear system, which, however, provides the means for the description of different phenomena in Nature that occur in physics, chemistry, biology, medicine, communications, economics and sociology. This book presents a com...Loe edasi...
Sari: World Scientific Series on Nonlinear Science: Series B
(Ilmumisaeg: 18-Jun-2010, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814313155)
Offers a compilation of selected papers from the conference on Physics and Control 2009, presenting a unified perspective underlying the thematics and strategies related to the control of physical systems with emerging applications in physics, engin...Loe edasi...
Sari: World Scientific Series on Nonlinear Science: Series A
(Ilmumisaeg: 15-Jan-2010, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814293853)
Real-world systems that involve some non-smooth change are often well-modeled by piecewise-smooth systems. This title presents the results regarding bifurcations of piecewise-smooth, continuous, autonomous systems of ordinary differential equations...Loe edasi...
(Ilmumisaeg: 14-Jan-2010, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814299725)
Contains a collection of papers suggested by the Scientific Committee that includes the best papers presented in the 2nd International Conference (CHAOS2009) on Chaotic Modeling, Simulation and Applications, that was held in Chania, Crete, Greece, J...Loe edasi...
(Ilmumisaeg: 14-Jan-2010, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814291705)
Offers a collection of research papers on one of the topics where the applications of chaos have been more fruitful: controlling chaos. This title includes theoretical ideas, as experimental implementations of controlling chaos. It provides an overv...Loe edasi...
(Ilmumisaeg: 03-Sep-2009, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814277662)
An introduction to the concepts and main tools for characterization of deterministic chaotic systems, with emphasis to statistical approaches. It focuses on more advanced topics including the characterization of chaos with tools of information theor...Loe edasi...
Christos H. Skiadas, Ioannis Dimotikalis, Charilaos Skiadas
(Ilmumisaeg: 14-May-2009, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814271349)
Includes some of the best papers presented at the CHAOS 2008 International Conference on Chaotic Modeling, Simulation and Applications. This title provides a collection of fresh ideas, methods, and techniques in the field of nonlinear dynamics, chao...Loe edasi...
Sari: World Scientific Series on Nonlinear Science: Series A
(Ilmumisaeg: 03-Jul-2008, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789812790637)
With Chuas circuit, chaos became a physical phenomenon, understood and represented in mathematical language. But, it is difficult for the non-specialist to appreciate the variety of behaviors that the system can produce. This book aims to bridge th...Loe edasi...
(Ilmumisaeg: 07-Feb-2007, Kirjastus: Imperial College Press, ISBN-13: 9781860948619)
Aims to familiarize the reader with the properties of the chaotic dynamics of Hamiltonian systems by avoiding specialized mathematical tools. This book is suitable to those who are actively working on the problems of dynamical chaos as well as to th...Loe edasi...
Sari: World Scientific Series on Nonlinear Science: Series A
(Ilmumisaeg: 21-Nov-2005, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789812703514)
This monograph presents the theory of a chaos control method: suppression-enhancement of chaos by weak periodic excitations in low-dimensional, dissipative and non-autonomous systems. The applications of the theory presented include control of chaot...Loe edasi...
Features sections on chaos control, unstable periodic orbits, synchronization of chaotic biological systems, and spatial chaos, and includes full-color photographs....Loe edasi...
(Ilmumisaeg: 31-Mar-2002, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789812778239)
This work describes applications for spatio-temporal chaotic dynamical systems in elementary particle physics and quantum field theories. The stochastic quantization approach of Parisi and Wu is extended to more general deterministic chaotic process...Loe edasi...
Sari: World Scientific Series on Nonlinear Science: Series B
(Ilmumisaeg: 31-Mar-2002, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789812705303)
A presentation of achievements in the challenging field of chaos in circuits and systems, with emphasis on engineering perspectives, methodologies, circuitry design techniques, and potential applications of chaos and bifurcation. It describes resear...Loe edasi...
(Ilmumisaeg: 12-Jul-2001, Kirjastus: Oxford University Press, ISBN-13: 9780198504009)
A unique and accessible book providing a unified framework for studying quantum and classical dynamical systems, both finite and infinite, conservative and dissipative. Many examples and references are included throughout, making it an ideal text fo...Loe edasi...
