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Chaos in Dynamical Systems (2nd Edition)

by Edward Ott · Cambridge University Press

Graduate textbook on chaotic dynamics with chapters on strange attractors and fractal dimension, nonattracting chaotic sets, chaotic transitions and multifractals. Readers can compute attractor dimensions and Lyapunov exponents and analyse fractal basin boundaries, riddled basins and crises. The standard graduate reference that treats attractors and their basins as the central object, going well past where Strogatz stops.

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ChaosBook.org

Free graduate-level online textbook led by Predrag Cvitanović at Georgia Tech, with accompanying video lectures. It develops periodic-orbit theory and cycle expansions, teaching readers to compute averages, escape rates and spectra of chaotic deterministic and quantum systems from their unstable periodic orbits.

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Wolfram MathWorld

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complexityexplorer.org

Complexity Explorer is an online learning platform from the Santa Fe Institute offering courses, tutorials, and interactive simulations on complexity science and chaos theory, including nonlinear dynamics, agent-based modeling, and networked systems.

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Scholarpedia - Attractor

Peer-reviewed encyclopedia article by John Milnor giving precise definitions of an attractor, its basin of attraction, and related notions, with examples from fixed points to strange attractors. Clarifies how competing definitions differ and when each one applies.

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Nonlinear Dynamics and Chaos

Explore attractors in nonlinear dynamics and chaos with Steven Strogatz's insightful course. Perfect for learning complex systems!

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Attractors.jl Tutorial: Finding Attractors, Basins of Attraction and Global Continuation

Official tutorial for the Julia package Attractors.jl, with copy-pasteable code. It shows how to find all attractors of a dynamical system numerically, map their basins of attraction, and track both across parameter ranges using global continuation. The only hands-on computational resource specific to this topic.

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