Examples of this type of system include the Lorenz water wheel, as well as pendulum attached to another pendulum.
This phenomenon can be found in a system governed by a set of three differential equations that is topologically defined as the Cartesian product of a ribbon with the Cantor set. This phenomenon is found in the Rossler System, and it arises when a fixed point of a dynamical system loses stability, sometimes known as the Hopf Bifurcation. These systems are characterized by period doubling and often occur when values take on the Feigenbaum constants. Examples of this type of system include the Lorenz water wheel, as well as pendulum attached to another pendulum. For 10 points, identify this phenomenon in which systems are deterministic but appear to behave randomly over time, exemplified by the butterfly effect.
This phenomenon can be found in a system governed by a set of three differential equations that is topologically defined as the Cartesian product of a ribbon with the Cantor set.
deterministic chaos