This sensitive dependence on initial conditions is a characteristic of chaotic maps.

The butterfly effect is a metaphor for sensitive dependence on initial conditions in chaos theory.

Linear systems display sensitive dependence on initial conditions in the case of divergence.

The equations of Newtonian mechanics can exhibit sensitive dependence on initial conditions.

The double pendulum undergoes chaotic motion, and shows a sensitive dependence on initial conditions.

This is a property of the sensitive dependence on initial conditions common to chaotic time series.

Chaotic dynamics are irregular and bounded and subject to sensitive dependence on initial conditions.

However, sensitive dependence on initial conditions alone does not give chaos.

This system has sensitive dependence on initial conditions everywhere, since any pair of nearby points will eventually become widely separated.

The ocean is a chaotic dynamical system with sensitive dependence on initial conditions.