Complex and Adaptive Dynamical Systems

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.

[1]  S. Strogatz.  From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators , 2000 .

[2]  DeLiang Wang,et al.  Relaxation Oscillators and Networks , 1999 .

[3]  Yoshiki Kuramoto,et al.  Chemical Oscillations, Waves, and Turbulence , 1984, Springer Series in Synergetics.

[4]  Isaac Meilijson,et al.  Effective Neuronal Learning with Ineffective Hebbian Learning Rules , 2001, Neural Computation.

[5]  Naftali Tishby,et al.  Cortical activity flips among quasi-stationary states. , 1995, Proceedings of the National Academy of Sciences of the United States of America.

[6]  C. Koch,et al.  A framework for consciousness , 2003, Nature Neuroscience.

[7]  Daihai He,et al.  Spatio-temporal synchronization of recurrent epidemics , 2003, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[8]  G. Carpenter.  Neural-network models of learning and memory: leading questions and an emerging framework , 2001, Trends in Cognitive Sciences.

[9]  Claudius Gros,et al.  Autonomous dynamics in neural networks: the dHAN concept and associative thought processes , 2007, q-bio/0703002.

[10]  L. Leon,et al.  The sound of many hands clapping , 2022 .

[11]  Peter Dayan,et al.  Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems , 2001 .

[12]  Hugo Liu,et al.  ConceptNet — A Practical Commonsense Reasoning Tool-Kit , 2004 .

[13]  S. Dehaene,et al.  Towards a cognitive neuroscience of consciousness: basic evidence and a workspace framework , 2001, Cognition.

[14]  Claudius Gros,et al.  Neural networks with transient state dynamics , 2007, 0705.0078.

[15]  Peter Norvig,et al.  Artificial Intelligence: A Modern Approach , 1995 .

[16]  B. Baars,et al.  How conscious experience and working memory interact , 2003, Trends in Cognitive Sciences.

[17]  Georg Dorffner,et al.  Neural Networks for Time Series Processing , 1996 .

[18]  Jeffrey L. Elman,et al.  Finding Structure in Time , 1990, Cogn. Sci..

[19]  Kenji Doya,et al.  What are the computations of the cerebellum, the basal ganglia and the cerebral cortex? , 1999, Neural Networks.

[20]  Michael A. Arbib,et al.  The handbook of brain theory and neural networks , 1995, A Bradford book.

[21]  Andrew W. Moore,et al.  Reinforcement Learning: A Survey , 1996, J. Artif. Intell. Res..

[22]  R. O’Reilly,et al.  Computational Explorations in Cognitive Neuroscience: Understanding the Mind by Simulating the Brain , 2000 .

[23]  Nancy Kopell,et al.  Rapid synchronization through fast threshold modulation , 1993, Biological Cybernetics.

[24]  A. Grinvald,et al.  Spontaneously emerging cortical representations of visual attributes , 2003, Nature.

[25]  Claudius Gros,et al.  Self-sustained Thought Processes in a Dense Associative Network , 2005, KI.

[26]  J. Elman.  An alternative view of the mental lexicon , 2004, Trends in Cognitive Sciences.

[27]  W. Singer,et al.  Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties , 1989, Nature.

[28]  Edmund T. Rolls,et al.  Introduction to Connectionist Modelling of Cognitive Processes , 1998 .

[29]  C. Collin,et al.  An Introduction to Natural Computation , 1998, Trends in Cognitive Sciences.

[30]  Deliang Wang,et al.  Global competition and local cooperation in a network of neural oscillators , 1995 .