Strange attractor of chaotic magnons observed in ferromagnetic (CH 3NH3)2CuCl4

Hitoshi Yamazaki, Michinobu Mino, Hiroyuki Nagashima, Mike Warden

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Abstract

By parallel pumping experiments in ferromagnetic (CH3NH 3)2CuCl4 chaotic auto-oscillations of magnon amplitude are observed at the pumping frequency of 9.39 GHz and the temperature of 1.65 K. Strange attractors constructed in three-dimensional phase space from time series data of chaotic oscillations display properties of stretching and folding of the sheet of trajectories. Fractal dimensions of strange attractors are obtained by the method of the correlation integral as a function of driving microwave power. With increasing driving power fractal dimension increases from 1.6 to 3.4. The largest Lyapunov exponent is obtained as 0.43 ±0.05 by using empirical return maps. The chaotic state arises directly from period-two oscillations without cascade of period doubling bifurcations.

Original languageEnglish
Pages (from-to)742-750
Number of pages9
JournalJournal of the Physical Society of Japan
Volume56
Issue number2
Publication statusPublished - Feb 1987

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strange attractors
magnons
methylidyne
oscillations
fractals
pumping
period doubling
folding
cascades
trajectories
exponents
microwaves
temperature

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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Strange attractor of chaotic magnons observed in ferromagnetic (CH 3NH3)2CuCl4. / Yamazaki, Hitoshi; Mino, Michinobu; Nagashima, Hiroyuki; Warden, Mike.

In: Journal of the Physical Society of Japan, Vol. 56, No. 2, 02.1987, p. 742-750.

Research output: Contribution to journalArticle

Yamazaki, Hitoshi ; Mino, Michinobu ; Nagashima, Hiroyuki ; Warden, Mike. / Strange attractor of chaotic magnons observed in ferromagnetic (CH 3NH3)2CuCl4. In: Journal of the Physical Society of Japan. 1987 ; Vol. 56, No. 2. pp. 742-750.
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