Complex and Adaptive Dynamical Systems: A Primer

• Published in: arXiv.org
• Main Author: Gros, C
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 25.09.2012
• Subjects: Adaptive systems; Bifurcation theory; Biological evolution; Boolean algebra; Boolean functions; Cellular automata; Cellular communication; Chaos theory; Complex systems; Complexity; Dynamical systems; Game theory; Graph theory; Information theory; Network topologies; Physics - Adaptation and Self-Organizing Systems; Physics - Disordered Systems and Neural Networks; Statistical models; Synchronism; System theory; Systems theory
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.0807.4838

An thorough introduction is given at an introductory level to the field of quantitative complex system science, with special emphasis on emergence in dynamical systems based on network topologies. Subjects treated include graph theory and small-world networks, a generic introduction to the concepts of dynamical system theory, random Boolean networks, cellular automata and self-organized criticality, the statistical modeling of Darwinian evolution, synchronization phenomena and an introduction to the theory of cognitive systems. It inludes chapter on Graph Theory and Small-World Networks, Chaos, Bifurcations and Diffusion, Complexity and Information Theory, Random Boolean Networks, Cellular Automata and Self-Organized Criticality, Darwinian evolution, Hypercycles and Game Theory, Synchronization Phenomena and Elements of Cognitive System Theory.