If a chaotic system is disturbed in a certain way, it could be made to follow one of its many regular patterns quickly making it a very flexible system. Second, although chaos is unpredictable, it is deterministic. If two nearly identical chaotic systems of the appropriate type are impelled, or driven, by the same signal, they will produce the same output, even though no one can say what that output might be. Dynamic variables are the fundamental quantities that are changing all the time. Static variable, which might also be called parameters, are set at some point but they are never changed.
State space is essentially a graph in which each axis is associated with one dynamic variable.
A point in state space represents the state of the system at a given time. As the system changes, it moves from one point to point in state space, defining a trajectory, or curve. This trajectory represents the history of the dynamic system. The trajectory is drawn toward a so called chaotic attractor, which in some sense is the vey essence of a chaotic system. The chaotic attractor is the manifestation of the fixed parameters and equations that determine the values of the dynamic variables.