The book reviews the application of discrete fractional operators to biological, chemical reaction and chaotic system with applications in physics....Daugiau...
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...Daugiau...
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...Daugiau...
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....Daugiau...
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...Daugiau...
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....Daugiau...
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...Daugiau...
Serija: World Scientific Series on Nonlinear Science: Series A
(Išleidimo metai: 22-Jan-2013, Leidėjas: 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...Daugiau...
(Išleidimo metai: 09-Aug-2012, Leidėjas: 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...Daugiau...
Serija: World Scientific Series on Nonlinear Science: Series A
(Išleidimo metai: 18-Oct-2011, Leidėjas: 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...Daugiau...
Christos H. Skiadas, Yiannis Dimotikalis, Charilaos Skiadas
(Išleidimo metai: 01-Jun-2011, Leidėjas: 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...Daugiau...
(Išleidimo metai: 07-Apr-2011, Leidėjas: 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...Daugiau...
Serija: World Scientific Series on Nonlinear Science: Series A
(Išleidimo metai: 08-Mar-2011, Leidėjas: 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...Daugiau...
Serija: World Scientific Series on Nonlinear Science: Series B
(Išleidimo metai: 08-Mar-2011, Leidėjas: 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...Daugiau...
(Išleidimo metai: 21-Sep-2010, Leidėjas: 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...Daugiau...
Serija: World Scientific Series on Nonlinear Science: Series B
(Išleidimo metai: 18-Jun-2010, Leidėjas: 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...Daugiau...
Serija: World Scientific Series on Nonlinear Science: Series A
(Išleidimo metai: 15-Jan-2010, Leidėjas: 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...Daugiau...
(Išleidimo metai: 14-Jan-2010, Leidėjas: 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...Daugiau...
