Visual Analysis of Nonlinear Dynamical Systems: Chaos, Fractals, Self-Similarity and the Limits of Prediction

• Published in: Systems (Basel) Vol. 4; no. 4; p. 37
• Main Author: Boeing, Geoff
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.12.2016
• Subjects: attractor; bifurcation; chaos; Chaos theory; Dynamical systems; fractal; Fractal analysis; Fractals; logistic map; Nonlinear dynamics; Nonlinearity; prediction; python; Self-similarity; Visualization

Nearly all nontrivial real-world systems are nonlinear dynamical systems. Chaos describes certain nonlinear dynamical systems that have a very sensitive dependence on initial conditions. Chaotic systems are always deterministic and may be very simple, yet they produce completely unpredictable and di...