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单词 period doubling
释义
period doubling

Physics
  • A mechanism for describing the transition to chaos in certain dynamical systems. If the force on a body produces a regular orbit with a specific period (see periodic motion) a sudden increase in the force can suddenly double the period of the orbit and the motion becomes more complex. The original simple motion is called a one-cycle, while the more complicated motion after the period doubling is called a two-cycle. The process of period doubling can continue until a motion called an n-cycle is produced. As n increases to infinity the motion becomes nonperiodic. The period-doubling route to chaos occurs in many systems involving nonlinearity, including lasers and certain chaotic chemical reactions. It was postulated and investigated by the US physicist Mitchell Feigenbaum in the early 1980s. Routes to chaos other than period doubling also exist.


Chemistry
  • A mechanism for describing the transition to chaos in certain dynamical systems. If the force on a body produces a regular orbit with a specific period a sudden increase in the force can suddenly double the period of the orbit and the motion becomes more complex. The original simple motion is called a one-cycle, while the more complicated motion after the period doubling is called a two-cycle. The process of period doubling can continue until a motion called an n-cycle is produced. As n increases to infinity the motion becomes non-periodic. The period-doubling route to chaos occurs in many systems involving nonlinearity, including lasers and certain chaotic chemical reactions. The period-doubling route to chaos was postulated and investigated by the US physicist Mitchell Feigenbaum (1944– ) in the early 1980s. Routes to chaos other than period doubling also exist.


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