Dear Colleagues, 

Complex systems are ubiquitous. They include financial markets, highway transportation and telecommunication networks, human economies, musical improvisation, social networks, and biological systems such as development and morphogenesis, the immune system, cancer, and ecology. The key feature of a complex system is that it is composed of many interacting entities exhibiting new emerging properties on a higher scale compared to the properties and behaviors of its individual entities.

Complex systems are studied in the social sciences, engineering, music, physics, biology, and mathematics. The integral part of these interdisciplinary studies forms discrete modeling in terms of cellular automata, lattice gas cellular automata, agent-based models, or complex networks. These models can be seen as the simplest digital laboratories to study phenomena exhibited by complex systems such as self-organization, pattern formation, cooperation, adaptation, competition, or multi-scale phenomena.

The aim of this Special Issue is to show some recent advances in these fields, illustrating the relationship between different fields, spanning from mathematics to physics, chemistry, engineering, informatics, biology, cognitive sciences, and the arts.

Papers may report on original research, discuss methodological aspects, review the current state of the art, or offer perspectives on future prospects. 

Specific methods and fields of applications include, but are not limited to:

• Mathematical Modeling;
• Cellular Automata;
• Lattice Gas Cellular Automata and Lattice Boltzmann Equation;
• Complex Networks;
• Discrete Systems;
• Dynamical Systems, Chaos, and Transport Phenomena;
• Meteorology and Weather Modeling;
• Critical Dynamics and Statistics;
• Cognitive Dynamics and Psychology;
• Cognitive Agents and Collective Intelligence;
• Simulation and Analysis of Dynamics of Complex Natural, Engineering, and Social Systems;
• Multi-agent-based Simulations;
• Computational Intelligence;
• Computation, the Arts, and Neuroaesthetics;
• Virtual Environments and Social Media;
• Neural Networks and Boltzmann Machines;
• Biological and Neural Systems;
• Artificial Intelligence;
• Evolutionary Systems;
• Teaching and Popularization of Complex Systems.

Dr. Franco Bagnoli
Prof. Dr. Anna T. Lawniczak
Guest Editors

Manuscript Submission Information

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• complex systems
• complex networks
• cellular automata
• cognitive systems
• neural networks
• artificial intelligence
• biophysical systems