COMPLEX AND ADAPTIVE DYNAMICAL SYSTEMS
CONTENTS GRAPH THEORY AND SMALL-WORLD NETWORKS RANDOM GRAPHS THE SMALL-WORLD EFFECT BASIC GRAPH-THEORETICAL CONCEPTS PROPERTIES OF RANDOM GRAPHS GENERALIZED RANDOM GRAPHS GRAPHS WITH ARBITRARY DEGREE DISTRIBUTIONS PROBABILITY GENERATING FUNCTION FORMALISM DISTRIBUTION OF COMPONENT SIZES ROBUSTNESS OF RANDOM NETWORKS SMALL-WORLD MODELS SCALE-FREE GRAPHS EXERCISES FURTHER READING CHAOS, BIFURCATIONS AND DIFFUSION BASIC CONCEPTS OF DYNAMICAL SYSTEMS THEORY THE LOGISTIC MAP AND DETERMINISTIC CHAOS DISSIPATION AND ADAPTION DISSIPATIVE SYSTEMS AND STRANGE ATTRACTORS ADAPTIVE SYSTEMS DIFFUSION AND TRANSPORT RANDOM WALKS, DIFFUSION AND L´EVY FLIGHTS THE LANGEVIN EQUATION AND DIFFUSION NOISE-CONTROLLED DYNAMICS STOCHASTIC ESCAPE STOCHASTIC RESONANCE RANDOM BOOLEAN NETWORKS INTRODUCTION RANDOM VARIABLES AND NETWORKS BOOLEAN VARIABLES AND GRAPH TOPOLOGIES COUPLING FUNCTIONS DYNAMICS THE DYNAMICS OF BOOLEAN NETWORKS THE FLOW OF INFORMATION THROUGH THE NETWORK THE MEAN-FIELD PHASE DIAGRAM THE BIFURCATION PHASE DIAGRAM SCALE-FREE BOOLEAN NETWORKS CYCLES AND ATTRACTORS QUENCHED BOOLEAN DYNAMICS THE K = 1 KAUFFMAN NETWORK THE K = 2 KAUFFMAN NETWORK THE K = N KAUFFMAN NETWORK APPLICATIONS LIVING AT THE EDGE OF CHAOS THE YEAST CELL CYCLE APPLICATION TO NEURAL NETWORKS CELLULAR AUTOMATA AND SELF-ORGANIZED CRITICALITY THE LANDAU THEORY OF PHASE TRANSITIONS CRITICALITY IN DYNAMICAL SYSTEMS 1/F NOISE CELLULAR AUTOMATA CONWAY’S GAME OF LIFE THE FOREST FIRE MODEL THE SANDPILE MODEL AND SELF-ORGANIZED CRITICALITY RANDOM BRANCHING THEORY APPLICATION TO LONG-TERM EVOLUTION STATISTICAL MODELING OF DARWINIAN EVOLUTION MUTATIONS AND FITNESS IN A STATIC ENVIRONMENT DETERMINISTIC EVOLUTION EVOLUTION EQUATIONS BEANBAG GENETICS – EVOLUTIONS WITHOUT EPISTASIS EPISTATIC INTERACTIONS AND THE ERROR CATASTROPHE FINITE POPULATIONS AND STOCHASTIC ESCAPE STRONG SELECTIVE PRESSURE AND ADAPTIVE CLIMBING ADAPTIVE CLIMBING VERSUS STOCHASTIC ESCAPE PREBIOTIC EVOLUTION QUASISPECIES THEORY HYPERCYCLES AND AUTOCATALYTIC NETWORKS COEVOLUTION AND GAME THEORY SYNCHRONIZATION PHENOMENA FREQUENCY LOCKING SYNCHRONIZATION OF COUPLED OSCILLATORS SYNCHRONIZATION OF RELAXATION OSCILLATORS SYNCHRONIZATION AND OBJECT RECOGNITION IN NEURAL NETWORKS SYNCHRONIZATION PHENOMENA IN EPIDEMICS ELEMENTS OF COGNITIVE SYSTEMS THEORY FOUNDATIONS OF COGNITIVE SYSTEMS THEORY BASIC REQUIREMENTS FOR THE DYNAMICS COGNITIVE INFORMATION PROCESSING VERSUS DIFFUSIVE CONTROL BASIC LAYOUT PRINCIPLES LEARNING AND MEMORY REPRESENTATIONS MOTIVATION, BENCHMARKS AND TARGET-ORIENTED SELF-ORGANIZATION COGNITIVE TASKS INTERNAL BENCHMARKS COMPETITIVE DYNAMICS AND WINNING COALITIONS GENERAL CONSIDERATIONS ASSOCIATIVE THOUGHT PROCESSES AUTONOMOUS ONLINE LEARNING ENVIRONMENTAL MODEL BUILDING THE ELMAN SIMPLE RECURRENT NETWORK UNIVERSAL PREDICTION TASKS SOLUTIONS