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Benner G. ., Henn R., Redelshperger F. ., Vize G. . Analysing and controlling chaos in spin-wave instabilities. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 1, pp. 32-51.

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Language: 
Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
539.21

Analysing and controlling chaos in spin-wave instabilities

Autors: 
Benner G. ,
Henn Rudiger,
Redelshperger F. ,
Vize G. ,
Abstract: 

Ferromagnetic samples excited by strong microwave fields show а variety об nonlincar phenomena. We report on magnetic resonance experiments in ylirium iron garnet (YIG) probing spin-wave instabilities above the first-order Subl threshold. A variety of dif- ferent scenarjos, e.g. period doubling routes, quasiperiodicity. different types of intermitiency together with a very complex muliistability have been found and analysed. In the case of nonresonant excitation of the uniform mode the observed chaotic autooscillations correspond to а low-dimensional attractor (D2 ≈2.1) with а characteristic time scale of μs, whereas for resonant excitation very high-dimensional atiractors (D2≈7... >15) are obtained. In order to stabilise unstable periodic orbits in such а fast system we developed ап analog feedback device, which is related to the controlling scheme of Ott, Grebogi and Yorke. We succeeded in suppressing the low-dimensional chaos by applying а very small time-dependent feedback signal of about 10^-3 the amplitude of the input microwave field.

Key words: 
-
Acknowledgments: 
We thank Prof.Dr.W.Tolksdorf from Philips Research Laboratory, Hamburg, for supplying us with high quality samples. This project of SFB 185 «Nichtlineare Dynamik» was partly financed by special funds of the Deutsche Forschungsgemeinschaft.
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Received: 
14.01.1995
Accepted: 
26.06.1995
Published: 
15.09.1995
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