## Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow : an Introduction to Applied Mathematics |

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### Contents

GRAVITY | 9 |

DIMENSIONS AND UNITS | 16 |

A TWOMASS OSCILLATOR | 23 |

Copyright | |

41 other sections not shown

### Other editions - View all

Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic ... Richard Haberman No preview available - 1998 |

### Common terms and phrases

amplitude analysis applied approximation Assume behavior birth calculated called cars characteristics complex Consider constant continuous corresponding curve decreases depends derived described determine differential equation direction discussed displacement distance dx dt dx/dt energy equal equilibrium population equilibrium position equivalent example exercise exponential expression Figure fish force formula friction function given growth rate hence illustrated increases indicate initial initial conditions integral isoclines known length light limit linear manner mass mathematical model maximum measured method motion moving number of cars observed obtained occur oscillation period phase plane Pmax possible potential energy problem qualitative region result satisfies sharks shock Show shown in Fig simple sketched solution solve species spring spring-mass system stable straight line Suppose tion traffic density traffic flow trajectories Umax unit unstable variables velocity wave yields zero