Complexity Explorer Santa Fe Institute

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12 Jan 2023
Nonlinear Dynamics Mathematics

Nonlinear Dynamics is in session!

Join us for Nonlinear Dynamics: Mathematical & Computational Approaches

Led by Instructor Liz Bradley & adorable course assistants (pictured below)

Register now

Happy New Year! We hope your 2023 is off to a fantastic start. There's still time to join us for Nonlinear Dynamics: Mathematical and Computational Approaches. This ongoing course provides a broad introduction to the field of nonlinear dynamics, focusing on the mathematics and and the computational tools that are essential to the study of chaotic systems.

After a quick overview of the field and its history, the course digs deeper into the dynamics of maps—discrete-time dynamical systems—encountering and unpacking the notions of state space, trajectories, attractors and basins of attraction, stability and instability, bifurcations, and the Feigenbaum number.

Since chaotic systems cannot, by definition, be solved in closed form, you will spend time thinking about how to solve them numerically, and learning what challenges arise.  You will then learn about techniques and tools for applying all of this theory to real-world data and close with a number of interesting applications: control of chaos, prediction of chaotic systems, chaos in the solar system, and uses of chaos in music and dance.

Other 2023 Complexity Explorer Courses

Foundations & Applications of Humanities Analytics begins Jan. 17

Register now & learn more about the in-person workshop in summer 2023.

Computation in Complex Systems will return Spring 2023

With Instructor John Malloy. Stay tuned for more information & registration coming soon.

Introduction to Agent-Based Modeling will return Summer 2023 

With Instructor Anamaria Berea & Teaching Assistant Kasia Samson. 


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