What's Next?

What's Next

You have implemented the foundational models of complex systems science. Here are natural next steps:

Nonlinear Dynamics — The logistic map and Lorenz attractor are entry points to a vast field. Explore the full bifurcation diagram, the Mandelbrot set, and strange attractors in higher dimensions.
Network Science — The degree and small-world lessons are the foundation. Extend to directed networks, weighted edges, community detection, and epidemic spreading on networks.
Statistical Physics — The Ising model generalizes to 2D (where it has an exact analytic solution), to the Potts model, and to spin glasses. Finite-size scaling reveals universal critical exponents.
Information Theory — Shannon entropy is the foundation of data compression, channel coding, and machine learning. Study the channel capacity theorem and its applications.

Nonlinear Dynamics and Chaos by Strogatz — The best introduction to dynamical systems and chaos. Clear, physical, and beautifully written.
Sync by Strogatz — A popular account of synchronization and emergence in complex systems.
Networks: An Introduction by Newman — The comprehensive reference for network science.
Introduction to the Theory of Complex Systems by Thurner, Hanel & Klimek — A rigorous modern treatment.
The Santa Fe Institute (santafe.edu) — The leading research center for complex systems; lectures and courses freely available online.