d3x/dt3 + A d2x/dt2 - (dx/dt)2 + x = 0
dx/dt = y
dy/dt = z
dz/dt = -x + y2 - A z
parameters: A =2.017
The step size of the fourth-order Runge-Kutta method: 0.001
Lyapunov exponents (log with base-e): 0.0551, -0.0000, -2.0721
Lyapunov dimension: 2.0266
The sum of the Lyapunov exponents is theoretically the same as -A.
Reference
Simplest dissipative chaotic flow
Julien Clinton Sprott
Physics Letters A, Volume 228, pp. 271-274, 1997
DOI: 10.1016/S0375-9601(97)00088-1
Chaos and Time-Series Analysis (p. 437)
Julien Clinton Sprott
Oxford University Press (2001/Sep/27)
ISBN-10: 0198508409
ISBN-13: 978-0198508403
programme
sprott_lyap.c contains the main function.