Introduction to the Modeling and Analysis of Complex Systems
by Hiroki Sayama
Publisher: Open SUNY Textbooks 2015
Number of pages: 498
This textbook offers an accessible yet technically-oriented introduction to the modeling and analysis of complex systems. The topics covered include: fundamentals of modeling, basics of dynamical systems, discrete-time models, continuous-time models, bifurcations, chaos, cellular automata, continuous field models, static networks, dynamic networks, and agent-based models.
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by Cosma Rohilla Shalizi - arXiv
The main methods and techniques of complex systems science. It distinguishes among the broad patterns which recur across complex systems, the topics complex systems science studies, the tools employed, and the foundational science of complex systems.
Systems theory is an interdisciplinary field which studies systems as a whole. Systems theory focuses on complexity and interdependence. A system is composed of regularly interacting or interdependent groups of activities / parts that form a whole.
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This is an inquiry into systems analysis, its origin and applications, its uses and abuses, its present impact and future implications. Systems analysis requires serious contemplation because of its central role in public planning.
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Systems theory offers a unified mathematical framework to solve problems in a wide variety of fields. This mathematics is not of the traditional sort involved in engineering education, but involves virtually every field of modern mathematics.