I have some 3D conservative systems. They have positive largest Lyapunov exponent. It means they are chaotic. However there can be some problems:
1. Numerical errors in calculating Lyapunov exponent, which is very common in conservative systems.
2. The system has a very long-time chaotic transient and then will be unbounded or converge to a torus.
How can I be sure? I know some methods based on plotting Poincare section. Any better suggestions?
I want to know the answer for 3D systems not higher dimensions. Does anybody know such systems beside Sprott A?