Collective Dynamics of Complex Systems

SSIE-523-20

Binghamton University

  • Semester
    Spring 2025
  • Instructor
    Hiroki Sayama
  • Start Date
    01-21-2025
  • Total Credits
    3
  • Call to Register
    607-777-6088

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Introduces students to the study of collective dynamics demonstrated by various natural, social and artificial complex systems, i.e., systems made of a massive amount of lower-level components interacting with each other in a nonlinear way. Discusses several computational modeling frameworks, including agent-based models (particle models, ecological and evolutionary models, game-theoretic models), complex network models (small-world and scale-free networks, dynamical networks, adaptive networks), and spatial models (cellular automata, partial differential equations). Also discusses mathematical concepts and tools to analyze and understand their behavior, e.g., mean-field approximation, linear stability analysis, scaling, renormalization, bifurcation, chaos, pattern formation, and phase transition. Python will be used as a primary computer programming language for modeling and simulation. Prior computer programming experience is helpful, but not strictly required.
Prerequisites: Graduate standing and basic knowledge of calculus, linear algebra and probability theory, or consent of instructor
Course Area: Engineering
Level: Graduate
Dates: 01-21-2025 - 05-07-2025
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Instructor: Hiroki Sayama
Local Course ID: 25SP_BIN_SSIE523_20
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