## Computer modeling: from sports to spaceflight-- from order to chaos |

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Page 49

In the z-y plane, this condition sets the equilibrium at the intersection of two lines

L1 and L2: L1: O=ay—m:1:+g, L, = 0 = ba: ... This might be so, but often it is more

helpful to look at a “

In the z-y plane, this condition sets the equilibrium at the intersection of two lines

L1 and L2: L1: O=ay—m:1:+g, L, = 0 = ba: ... This might be so, but often it is more

helpful to look at a “

**phase**-**plane**” diagram in which one dependent variable is ...Page 79

Plot solutions in the

and vertical axes, the transient motion looks chaotic although the final motion

may be periodic; so it is best to start plotting only after a certain number of cycles

of ...

Plot solutions in the

**phase**-**plane**. For these plots, with 9 and d on the horizontaland vertical axes, the transient motion looks chaotic although the final motion

may be periodic; so it is best to start plotting only after a certain number of cycles

of ...

Page 396

The motion can be followed in animation, in plots of angular displacement versus

the time, or in the

angular velocity, or can be of the “dry” or Coulomb category. A Magnetic

Pendulum in ...

The motion can be followed in animation, in plots of angular displacement versus

the time, or in the

**phase**-**plane**. Resisting forces can be proportional to theangular velocity, or can be of the “dry” or Coulomb category. A Magnetic

Pendulum in ...

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### Contents

Some Fundamental Concepts in the Solution of Differential Equations | 11 |

Springs | 13 |

One Approach to Solving a System of Ordinary Differential Equations | 19 |

Copyright | |

22 other sections not shown

### Common terms and phrases

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