Even complex systems have parts with simple processes. Chaotic systems have parts with no chaos. Small initial-condition changes can cause large result changes {chaos theory}| [Lorenz, 1963].
Non-linear complex systems are sensitive to initial conditions, as if butterfly flight in one place affects weather pattern in another place {butterfly effect}| [Gleick, 1987] [Prigogine and Nicolis, 1989] [Prigogine and Stengers, 1984] [Prigogine, 1980] [Ruelle and Takens, 1971] [Ulam, 1976] [Li and Yorke, 1975].
Systems can have processes that regularly repeat {periodicity}|. Increased repetition rate {period doubling} or system size can lead to chaos, as wavelength and space decrease. Systems can make matter or energy pulses {intermittency}. Systems can have periods that are not exact {quasiperiodicity}. Energy or mass dissipation cancels or removes conflicting motions and results in changes along one dimension. Periodicity is only in that dimension.
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Date Modified: 2022.0225