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)

DOI: 10.1103/PhysRevLett.55.1082

programme

makefile

roessler_lyap.h

roessler_lyap.c

solve_roessler_eqs.c

gram_schmidt_orth.c


roessler_lyap.c contains the main function.