Foundations of complex systems : emergence, information and prediction / Gregoire Nicolis, Catherine Nicolis.

Format:

Book

Author/Creator:

Nicolis, G., 1939-

Contributor:

Nicolis, Cathy.

Language:

English

Subjects (All):

Nonlinear systems.

System analysis.

Computational complexity.

Nonlinear theories.

Physical Description:

1 online resource (384 p.)

Edition:

2nd ed.

Place of Publication:

Singapore ; Hackensack, N.J. : World Scientific, c2012.

Language Note:

English

Summary:

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 unifying point 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 overview of one of the most open, markedly interdisciplinary an

Contents:

Preface; Preface to the Second Edition; Contents; 1 The Phenomenology of Complex Systems; 1.1 Complexity, a new paradigm; 1.2 Signatures of complexity; 1.3 Onset of complexity; 1.4 Four case studies; 1.4.1 Emergence of macroscopic order: Rayleigh-Benard convection; 1.4.2 The challenge of prediction: atmospheric and climatic variability; 1.4.3 Information transfer and collective decision making: food recruitment in ants; 1.4.4 Human systems; 1.5 Summing up; Exercises and Problems; Relevant references; 2 Deterministic View; 2.1 Dynamical systems, phase space, stability

2.1.1 Conservative systems2.1.2 Dissipative systems; 2.2 Levels of description; 2.2.1 The microscopic level; 2.2.2 The macroscopic level; 2.2.3 Thermodynamic formulation; 2.3 Normal forms; 2.4 The limit of universality; 2.5 Deterministic chaos; 2.6 Emergence; 2.7 Coupling-induced complexity; Source terms; Transport terms; 2.8 Modeling complexity beyond physical science; Exercises and Problems; Relevant references; 3 Probabilistic Description; 3.1 Need for a probabilistic approach; 3.2 Probability distributions and their evolution laws

3.2.1 Mesoscopic-level description: Markov processes, master equation3.2.2 The continuous time limit; 3.3 The retrieval of universality; 3.4 Complexity in the probabilistic description; 3.5 Emergence revisited; 3.5.1 Emergence of a probabilistic description; 3.5.2 Emergence of a macroscopic-level deterministic description of the mean-field type; 3.6 Transitions between states; 3.7 Simulating complex systems; 3.7.1 Monte Carlo simulation; 3.7.2 Microscopic simulations; 3.7.3 Cellular automata; 3.7.4 Agents and games; 3.8 Disorder-generated complexity; Exercises and Problems

Relevant references4 Complexity, Entropy and Information; 4.1 Information entropy; 4.2 Dynamical entropies; 4.3 Information entropy production; 4.4 Large deviations, fluctuation theorems and the probabilistic properties of time sequences; 4.5 Algorithmic complexity and computation; 4.6 Dynamical systems as information sources: scaling rules and selection; 4.7 Further information measures; 4.8 Summing up; Exercises and Problems; Relevant references; 5 Prediction; 5.1 Communicating with a Complex System; 5.2 Classical approaches and their limitations; 5.2.1 Exploratory data analysis

5.2.2 Time series analysis and statistical forecasting5.2.3 Sampling in time and in space; 5.3 Nonlinear data analysis; 5.3.1 Dynamical reconstruction; 5.3.2 Symbolic dynamics from time series; 5.3.3 Nonlinear prediction; 5.4 The monitoring of complex fields; 5.4.1 Optimizing an observational network; The station's positions are prescribed; The stations' number is prescribed; 5.4.2 Data assimilation; 5.5 The predictability horizon; 5.5.1 Growth of initial errors in absenceof model error (δμ = 0); 5.5.2 Growth of model errors in absence of initial error (u(0) = 0)

5.5.3 Error dynamics under the effect of both initial and model errors

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786613646613

9781280669682

1280669683

9789814366618

9814366617

OCLC:

794306955