チェン方程式
Chen equations

dx/dt = A (y - x)

dy/dt = (C - A) x - x z + C y

dz/dt = x y - B z


parameters: A = 35, B = 3.0, C = 28.0
The step size of the fourth-order Runge-Kutta method: 0.001

Lyapunov exponents (log with base-e): 2.0232, -0.0005, -12.0227

Lyapunov dimension: 2.1682

The sum of the Lyapunov exponents  is theoretically the same as -A + C - B.


Reference

Yet another chaotic attractor

Guanrong Chen and Tetsushi Ueta

International Journal of Bifurcation and Chaos, Vol. 9, No. 7, 1465–1466 (1999)

DOI: 10.1142/S0218127499001024

programme

makefile

chen_lyap.h

chen_lyap.c

solve_chen_eqs.c

gram_schmidt_orth.c


chen_lyap.c contains the main function.