Chaos and Strange Attractors

Lorenz/Henon attractors, Lyapunov exponents, and entropy.


field tier

Chaos and Strange Attractors. Lorenz/Henon attractors, Lyapunov exponents, and entropy.

Foundations and canonical references

The standard treatments of chaos and strange attractors approach the subject from complementary angles. Strogatz, Nonlinear Dynamics and Chaos (2014) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to. Alligood, Chaos: An Introduction to Dynamical Systems (1996) gives a parallel, more proof-oriented exposition of the same material and is widely used as a graduate text.

Open methodological questions for chaos and strange attractors include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.

Prerequisites

Sources

  • textbook · primary · 2014
    Nonlinear Dynamics and Chaos
    strogatz-2014
  • textbook · primary · 1996
    Chaos: An Introduction to Dynamical Systems
    alligood-1996, sauer-1996, yorke-1996

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