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Arnold Cat Map

Area-preserving transformation with periodic behavior and Fibonacci connections

Arnold Cat Map Visualization

Initial x₀: 0.30

Initial y₀: 0.30

Iterations: 50

Visualization Type

Eigenvalues:

λ₁ = 2.6180 (Golden Ratio)

λ₂ = 0.3820

Equations:

xₙ₊₁ = (xₙ + yₙ) mod 1

yₙ₊₁ = (xₙ + 2·yₙ) mod 1