\(\displaystyle X_{n+1}= X_n \cos \alpha - (Y_n + k\sin X_n) \sin \alpha\)
\(\displaystyle Y_{n+1}= X_n \sin \alpha + (Y_n + k\sin X_n) \cos \alpha\)

Kaotisk nettavbildning med k =1, α=π/2, X0=0.1 Y0= 3

Kaotisk nettavbildning med k =1, α=π/2, X0=0.1 Y0= 4
Chernikov AA, Sagdeev, RS & Zaslavsky GM: Chaos: How regular can it be ? Physics Today 41 (11 (1988) 27-35
Sprott JC: Chaos and time-series analysis. Oxford University Prress (2008).