### Abstract

We describe examples of two phenomena: the decay of a nonlinear coherent state under the influence of friction and the resonance of such a state due to a time periodic external forcing. In the latter case a period doubling transition to chaotic motion can be found as function of a parameter in the forcing. Essential is that in each case the state remains spatially coherent. The main features of these phenomena can be described with only two observables: say the amplitude and the phase of the coherent state. Here one method is given to choose these observables properly and to formulate their equations of motion in each case.

Original language | English |
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Title of host publication | Nonlinear Dynamics in Engineering Systems |

Subtitle of host publication | IUTAM symposium, Stuttgart, FRG, August 21-25, 1989 |

Editors | Werner O. Schiehlen |

Place of Publication | Berlin |

Publisher | Springer |

Pages | 329-335 |

ISBN (Print) | 9783540502005 |

Publication status | Published - 1990 |

Event | IUTAM Symposium on Nonlinear Dynamics in Engineering Systems 1989 - Stuttgart, Germany Duration: 21 Aug 1989 → 25 Aug 1989 |

### Conference

Conference | IUTAM Symposium on Nonlinear Dynamics in Engineering Systems 1989 |
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Country | Germany |

City | Stuttgart |

Period | 21/08/89 → 25/08/89 |

### Keywords

- IR-56250

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## Cite this

Valkering, T. P., & van Groesen, E. (1990). Decay and Resonance of Coherent States. In W. O. Schiehlen (Ed.),

*Nonlinear Dynamics in Engineering Systems: IUTAM symposium, Stuttgart, FRG, August 21-25, 1989*(pp. 329-335). Berlin: Springer.