Course

Introduction to Complexity Science

Nanyang Technological University, Singapore

This course, "Introduction to Complexity Science," delves into the intricate features of complex systems and their ubiquitous presence in our interconnected world. Through a multidisciplinary approach, participants will explore the resilience, robustness, and sustainability of these systems, acquiring a deep understanding of their essential dynamics.

  • Learn about the connectivity and interactions within complex systems across various domains, from the physical and biological world to social structures.
  • Gain insight into the scientific progress of complexity science and its increasing relevance in understanding modern-day complexities.
  • Explore mathematical methods for analyzing complex systems, including regime shifts, tipping points, agent-based modeling, and dynamic and network theories.
  • Participate in practical applications focusing on cities and health, allowing for the implementation of theoretical knowledge in real-world scenarios.

This course, offered by Nanyang Technological University, Singapore, provides a unique opportunity to develop a sophisticated understanding of complexity science and its practical implications in diverse contexts.

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Introduction to Complexity Science
Course Modules

The course modules cover a broad spectrum of topics, including an introduction to complex systems, robustness, resilience, sustainability, regime shifts, tipping points, agent-based modeling, and static complex networks. Participants will gain practical insights through comprehensive lectures and practical applications.

Course Overview and Week 1: Introduction to Complex Systems

The course begins with an overview and introduction to complex systems, examining the behavior of scale-free networks and the implications of complexity in society, such as pandemics and crime.

Week 2: Robustness, Resilience, and Sustainability

Participants will explore the concepts of robustness, resilience, and sustainability, considering real-world examples and the design and control of swarm dynamics.

Week 3: Regime Shifts and Tipping Points

This module delves into regime shifts and tipping points, including criticality, Landau theory, and forecasting methods, providing a comprehensive understanding of the dynamics of complex systems.

Week 4: Introduction to Agent-Based Modeling

Participants will gain insights into agent-based modeling, including validation, calibration, and its use for policy assessment, culminating in the exploration of Schelling's Segregation Model.

Week 5: Introduction to Static Complex Network

This module focuses on static complex networks, covering random networks, scale-free networks, robustness, and practical sessions using Python, culminating in the final assessment.

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