Nonlinear Coupled Oscillator

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The recurrence equations constitute a two-parameter canonical form of a nonlinear coupled oscillator.
Contributed by: Ralf Schaper (March 2011)
Open content licensed under CC BY-NC-SA
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More information is in the following two papers.
W. Metzler, W. Beau, W. Frees, and A. Ueberla, "Symmetry and Self-Similarity with Coupled Logistic Maps," Zeitschrift fur Naturforschung, 42(3), 1987 pp. 310–318.
W. Metzler, A. Brelle, and K. D. Schmidt, "Nonanalytic Dynamics for Generating the Mandelbrot Set: A Tutorial," International Journal of Bifurcation and Chaos, 2(2), 1992 pp. 241–250.
Permanent Citation
"Nonlinear Coupled Oscillator"
http://demonstrations.wolfram.com/NonlinearCoupledOscillator/
Wolfram Demonstrations Project
Published: March 7 2011