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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

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"This collection of review articles is devoted to the modeling of ecological, epidemiological and evolutionary systems. Theoretical mathematical models are perhaps one of the most powerful approaches available for increasing our understanding of the complex population dynamics in these natural systems. Exciting new techniques are currently being developed to meet this challenge, such as generalized or structural modeling, adaptive dynamics or multiplicative processes. Many of these new techniques stem from the field of nonlinear dynamics and chaos theory, where even the simplest mathematical rule can generate a rich variety of dynamical behaviors that bear a strong analogy to biological populations."

Population biology --- Ecology --- Epidemiology --- Genetics --- Biomathematics --- Mathematical models. --- Mathematical models --- mathematical models --- Population biology - Mathematical models --- Ecology - Mathematical models --- Epidemiology - mathematical models --- Genetics - Mathematical models

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Nonlinear dynamics has become an important field of research in recent years in many areas of the natural sciences. In particular, it has potential applications in biology and medicine; nonlinear data analysis has helped to detect the progress of cardiac disease, physiological disorders, for example episodes of epilepsy, and others. This book focuses on the current trends of research concerning the prediction of sudden cardiac death and the onset of epileptic seizures, using the nonlinear analysis based on ECG and EEG data. Topics covered include the analysis of cardiac models and neural models. The book is a collection of recent research papers by leading physicists, mathematicians, cardiologists and neurobiologists who are actively involved in using the concepts of nonlinear dynamics to explore the functional behaviours of heart and brain under normal and pathological conditions. This collection is intended for students in physics, mathematics and medical sciences, and researchers in interdisciplinary areas of physics and biology.

Nonlinear theories. --- Physiology -- Mathematical models. --- Physiology --- Nonlinear theories --- Nonlinear Dynamics --- Congresses --- Cardiovascular Physiological Processes --- Models, Theoretical --- Physiological Processes --- Nervous System Physiological Processes --- Publication Formats --- Investigative Techniques --- Physiological Phenomena --- Nervous System Physiological Phenomena --- Mathematics --- Cardiovascular Physiological Phenomena --- Publication Characteristics --- Natural Science Disciplines --- Musculoskeletal and Neural Physiological Phenomena --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Phenomena and Processes --- Circulatory and Respiratory Physiological Phenomena --- Disciplines and Occupations --- Human Anatomy & Physiology --- Health & Biological Sciences --- Mathematical models --- Mathematical models. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Medicine. --- Bioinformatics. --- Computational biology. --- Biophysics. --- Biological physics. --- Statistical physics. --- Dynamical systems. --- Statistics. --- Biomedical engineering. --- Biomedicine. --- Biomedicine general. --- Statistical Physics, Dynamical Systems and Complexity. --- Biophysics and Biological Physics. --- Computer Appl. in Life Sciences. --- Biomedical Engineering. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Calculus --- Mathematical analysis --- Mathematical physics --- Biology --- Complex Systems. --- Biological and Medical Physics, Biophysics. --- Biomedical Engineering and Bioengineering. --- Data processing. --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Clinical engineering --- Medical engineering --- Bioengineering --- Biophysics --- Engineering --- Medicine --- Clinical sciences --- Medical profession --- Human biology --- Life sciences --- Medical sciences --- Pathology --- Physicians --- Health Workforce --- Bioinformatics . --- Computational biology . --- Statistics . --- Biomedicine, general. --- Bioinformatics --- Bio-informatics --- Biological informatics --- Information science --- Computational biology --- Systems biology --- Biological physics --- Physics --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Mathematical statistics --- Data processing