## Encyclopedia of Physical Science and Technology, Volume 3Academic Press, 1992 - Physical sciences |

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Page 87

Consider the dynamical system

+ a , Mod 1 ( 1 ) which takes a real number xn between 0 and 1 , adds another

real number a , and subtracts the integer part of the sum ( Mod 1 ) to return a

value ...

Consider the dynamical system

**described**by the difference equation Xn + 1 = xn+ a , Mod 1 ( 1 ) which takes a real number xn between 0 and 1 , adds another

real number a , and subtracts the integer part of the sum ( Mod 1 ) to return a

value ...

Page 95

Fortunately , the “ slaving ” of the stability properties of each periodic point via the

chain rule argument (

only have to focus on the behavior of the successive iterates of the map in the ...

Fortunately , the “ slaving ” of the stability properties of each periodic point via the

chain rule argument (

**described**previously for the period 2 cycle ) means that weonly have to focus on the behavior of the successive iterates of the map in the ...

Page 110

In the case of as few as 50 interacting particles , this break time may exceed the

age of the universe , however , for small quantum systems , such as those

Bohr ...

In the case of as few as 50 interacting particles , this break time may exceed the

age of the universe , however , for small quantum systems , such as those

**described**by the simple models of Hamiltonian chaos , this time scale , where theBohr ...

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### Contents

Andrew J Heymsfield | 353 |

Coal Geology | 371 |

Celestial Mechanics 1 Colin R Ward | 409 |

Copyright | |

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application called carbon cause ceramic charge chemical chromatography circuit cloud coal color column combustion comet complex components constant delta density depends described determined developed devices direction distribution dynamics effect electric electron elements energy engine equation example field filter flow frequency fuel function given heat important increase initial interaction light limit liquid mass material means measured mechanics methods modulation molecules natural observed occur operation orbit organic parameters particles period phase physical position possible potential pressure problem produced properties range ratio reaction receiver region relative result sample satellite separation shown shows signal solid solution space structure surface Table temperature theory tion transfer transition typically unit usually values voltage wave