Foundations of complex systems: emergence, information and prediction

This book provides a self-contained presentation of the physical and mathematical laws governing complex systems. Complex systems arising in natural, engineering, environmental, life and social sciences are approached from a unifyingpoint of view using an array of methodologies such as microscopic and macroscopic level formulations, deterministic and probabilistic tools, modeling and simulation. The book can be used as a textbook by graduate students, researchers and teachers in science, as well as non-experts who wish to have an overviewof one of the most open, markedly interdisciplinary and fast-growing branchesof present-day science. INDICE: The Phenomenology of Complex Systems: Complexity, a New Paradigm; Signatures of Complexity; Onset of Complexity; Four Case Studies; Summing Up; Deterministic View: Dynamical Systems, Phase Space, Stability; Levels of Description; Normal Forms; The Limit of Universality; Deterministic Chaos; Emergence; Coupling-Induced Complexity; Modeling Complexity Beyond Physical Science; Probabilistic Description: Need for a Probabilistic Approach; Probability Distributions and Their Evolution Laws; The Retrieval of Universality; Complexity in the Probabilistic Description; Emergence Revisited; Transitions Between States; Simulating Complex Systems; Disorder-Generated Complexity; Complexity, Entropy and Information: Information Entropy; Dynamical Entropies; Information Entropy Production; Large Deviations, Fluctuation Theorems and the ProbabilisticProperties of Time Sequences; Algorithmic Complexity and Computation; Dynamical Systems as Information Sources: Scaling Rules and Selection; Further Information Measures; Summing Up; Prediction: Communicating with a Complex System; Classical Approaches and Their Limitations; Nonlinear Data Analysis; The Monitoring of Complex Fields; The Predictability Horizon; Recurrence; Extreme Events; Selected Topics: The Arrow of Time; Nanosystems; Atmospheric Dynamics; Climate Dynamics; Networks; Perspectives on Biological Complexity; Equilibrium Versus Nonequilibrium in Complexity and Self-Organization; Epistemological Insights from Complex Systems; Outlook. The Future of Complexity.

• ISBN: 978-981-4366-60-1
• Editorial: World Scientific
• Encuadernacion: Cartoné
• Páginas: 384
• Fecha Publicación: 08/05/2012
• Nº Volúmenes: 1
• Idioma: Inglés