Decay and Resonance of Coherent States

T.P. Valkering; E. van Groesen

Decay and Resonance of Coherent States

T.P. Valkering
, E. van Groesen

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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
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
Country/Territory	Germany
City	Stuttgart
Period	21/08/89 → 25/08/89

Keywords

IR-56250

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title = "Decay and Resonance of Coherent States",

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.",

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year = "1990",

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TY - GEN

T1 - Decay and Resonance of Coherent States

AU - Valkering, T.P.

AU - van Groesen, E.

PY - 1990

Y1 - 1990

N2 - 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.

AB - 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.

KW - IR-56250

M3 - Conference contribution

SN - 9783540502005

SP - 329

EP - 335

BT - Nonlinear Dynamics in Engineering Systems

A2 - Schiehlen, Werner O.

PB - Springer

CY - Berlin

T2 - IUTAM Symposium on Nonlinear Dynamics in Engineering Systems 1989

Y2 - 21 August 1989 through 25 August 1989

ER -

Decay and Resonance of Coherent States

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