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Answer:
are in chaos
1. Sensitivity to initial conditions: If two systems start out with different initial conditions, they will eventually diverge from each other.
2. Topological mixing: A system is topologically mixing if, given any two points in the phase space, there is a finite sequence of points that starts at one point, ends at the other point, and visits every point in between. This implies that the system is chaotic.
3. Positive Lyapunov exponents: A system has positive Lyapunov exponents if, for any two initially nearby points in phase space, the distance between them grows exponentially over time. This is a signature of chaos.