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What are attractors?

"A dynamical system lives in a phase space that contains all the possible states of the system and how these evolve in time. A dissipative system is one whose phase space volume decreases (dissipates) in time. This means that some places (subsets in the phase space) are more preferred than others. These are called attractors . . ."

J.A. Scott Kelso, Dynamic Patterns, p. 53

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