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?

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