state cycle

In deterministic complex systems, trajectories tend to go to repeated states {state cycle}| {recurrence} {oscillator, system}. Examples are pendulums, fluids, circuits, and lasers.

length

Cycles have number of steps {length, cycle}. If nodes have input from all other nodes, length is square root of number of states and is large, and number of attractors is number of nodes divided by natural-logarithm base e and is small. If nodes have two inputs, length is square root of number of nodes and is small, and number of attractors is number of nodes divided by natural-logarithm base e and is small.

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Mathematical Sciences>Computer Science>System Analysis>States>Trajectory>Terminus

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Date Modified: 2022.0224