レスラー方程式
Rössler equations
dx/dt = -y - z
dy/dt = x + A y
dz/dt = B + z (x - C)
parameters: A = B = 0.2, C = 5.7
The step size of the fourth-order Runge-Kutta method: 0.01
Lyapunov exponents (log with base-e): 0.0718, 0, -5.3944
Lyapunov dimension: 2.0133
parameters: A = B = 0.2, C = 5.7
The step size of the fourth-order Runge-Kutta method: 0.12
Lyapunov exponents (log with base-e): 0.0675, 0, -4.9815
Lyapunov dimension: 2.0136
Reference
An equation for continuous chaos
Otto Eberhard Rössler
Physics Letters A 57, 397-398 (1976)
DOI: 10.1016/0375-9601(76)90101-8
Measurement of the Lyapunov Spectrum from a Chaotic Time Series
Masaki Sano and Yasuji Sawada
Physical Review Letters 55, 1082-1085 (1985)
programme
roessler_lyap.c contains the main function.