Characteristics of Chaos
Classical Mechanics
Level
2
Which condition is most likely to be a quality of only dynamical systems that are chaotic ?
Probabilistic behavior
Evolving with a complicated trajectory
An infinite number of orbits in phase space
A large number of coupled variables
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1 solution
Relevant wiki: Chaos Theory
Chaotic systems are strictly deterministic, which rules out probabilistic behavior. Furthermore, chaotic systems may have very simple trajectories (e.g., circular or linear trajectories) for certain choices of initial conditions. Finally, essentially all systems have infinite trajectories in phase space assuming there are infinite choices of initial conditions.
The one unique condition to chaos is a large number of coupled variables. With a large number of degrees of freedom, a small perturbation in one variable may have unpredictable consequences. Such dynamical systems are likely described by high-order differential equations, which satisfy minimum conditions for chaos.