Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The formation of collective behavior in large ensembles or networks of coupled oscillatory elements is one of the oldest and most fundamental aspects of dynamical systems theory. Potential and present applications span a vast spectrum of fields ranging from physics, chemistry, geoscience, through life- and neurosciences to engineering, the economic and the social sciences. This work systematically investigates a large number of oscillatory network configurations that are able to describe many real systems such as electric power grids, lasers or the heart muscle - to name but a few. This book is conceived as an introduction to the field for graduate students in physics and applied mathematics as well as being a compendium for researchers from any field of application interested in quantitative models.

Synchronization. --- Oscillations. --- System analysis. --- Network analysis --- Network science --- Network theory --- Systems analysis --- System theory --- Mathematical optimization --- Cycles --- Fluctuations (Physics) --- Vibration --- Synchronism --- Time measurements --- Systems theory. --- Mechanics. --- Differentiable dynamical systems. --- Mathematics. --- Complex Systems. --- Systems Theory, Control. --- Classical Mechanics. --- Dynamical Systems and Ergodic Theory. --- Game Theory, Economics, Social and Behav. Sciences. --- Biological and Medical Physics, Biophysics. --- System theory. --- Math --- Science --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Systems, Theory of --- Systems science --- Philosophy --- Statistical physics. --- Dynamical systems. --- Dynamics. --- Ergodic theory. --- Game theory. --- Biophysics. --- Biological physics. --- Biological physics --- Biology --- Medical sciences --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Mathematical statistics --- Statistical methods

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book is intended as an introduction to the field of planetary systems at the postgraduate level. It consists of four extensive lectures on Hamiltonian dynamics, celestial mechanics, the structure of extrasolar planetary systems and the formation of planets. As such, this volume is particularly suitable for those who need to understand the substantial connections between these different topics.

Mathematics --- Cosmology --- Astrophysics --- Geophysics --- Geology. Earth sciences --- Computer science --- astrofysica --- chaos --- informatica --- wiskunde --- geografie --- geofysica --- kosmologie

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Numerical analysis --- General biophysics --- Neuropathology --- Computer science --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- biofysica --- neurologie --- informatica --- algoritmen --- robots --- numerieke analyse

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book is a collection of contributions on various aspects of active frontier research in the field of dynamical systems and chaos. Each chapter examines a specific research topic and, in addition to reviewing recent results, also discusses future perspectives. The result is an invaluable snapshot of the state of the field by some of its most important researchers. The first contribution in this book, "How did you get into Chaos?", is actually a collection of personal accounts by a number of distinguished scientists on how they entered the field of chaos and dynamical systems, featuring comments and recollections by James Yorke, Harry Swinney, Floris Takens, Peter Grassberger, Edward Ott, Lou Pecora, Itamar Procaccia, Michael Berry, Giulio Casati, Valentin Afraimovich, Robert MacKay, and last but not least, Celso Grebogi, to whom this volume is dedicated. .

Dynamics --- Chaotic behavior in systems --- Nonlinear theories --- Physical Sciences & Mathematics --- Physics --- Engineering & Applied Sciences --- Atomic Physics --- Sciences - General --- Applied Mathematics --- Chaotic behavior in systems. --- Dynamics. --- Dynamical systems --- Kinetics --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Physics. --- Ergodic theory. --- System theory. --- Statistical physics. --- Dynamical systems. --- Vibration. --- Statistical Physics, Dynamical Systems and Complexity. --- Dynamical Systems and Ergodic Theory. --- Vibration, Dynamical Systems, Control. --- Systems Theory, Control. --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Differentiable dynamical systems --- System theory --- Differentiable dynamical systems. --- Systems theory. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Mathematical statistics --- Cycles --- Sound --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Statistical methods --- Systems, Theory of --- Systems science --- Science --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Philosophy

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The aim of this volume is to bring together research directions in theoretical signal and imaging processing developed rather independently in electrical engineering, theoretical physics, mathematics and the computer sciences. In particular, mathematically justified algorithms and methods, the mathematical analysis of these algorithms, and methods as well as the investigation of connections between methods from time series analysis and image processing are reviewed. An interdisciplinary comparison of these methods, drawing upon common sets of test problems from medicine and geophysical/enviromental sciences, is also addressed. This volume coherently summarizes work carried out in the field of theoretical signal and image processing. It focuses on non-linear and non-parametric models for time series as well as on adaptive methods in image processing.

Computer science --- Information systems --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- beeldverwerking --- beeldanalyse --- ICT (informatie- en communicatietechnieken) --- signal processing --- grafische vormgeving --- informatica --- informatiesystemen --- signaalverwerking