Characterization of chaotic states of parallel-pumped magnons in yttrium iron garnet

Michinobu Mino, Hitoshi Yamazaki

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

Parallel pumping experiments in YIG magnons have been performed at 4.2 K. Above the spin-wave instability threshold, chaotic auto-oscillations are observed. From time-series data, return maps, fractal dimensions, positive Lyapunov exponents, phase space portraits of strange attractors and two-dimensional Poincare sections are obtained. The largest Lyapunov exponent, which describes the degree of chaos, is obtained as 0.34. The Poincare sections of the phase space trajectories exhibit the stretching and holding which are characteristics of strange attractors.

Original languageEnglish
Pages (from-to)4168-4171
Number of pages4
JournalJournal of the Physical Society of Japan
Volume55
Issue number12
Publication statusPublished - Dec 1986

Fingerprint

strange attractors
yttrium-iron garnet
magnons
exponents
chaos
fractals
pumping
trajectories
oscillations
thresholds

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Characterization of chaotic states of parallel-pumped magnons in yttrium iron garnet. / Mino, Michinobu; Yamazaki, Hitoshi.

In: Journal of the Physical Society of Japan, Vol. 55, No. 12, 12.1986, p. 4168-4171.

Research output: Contribution to journalArticle

@article{0fb70d839c4e47ed9b4e0c7cebe2052b,
title = "Characterization of chaotic states of parallel-pumped magnons in yttrium iron garnet",
abstract = "Parallel pumping experiments in YIG magnons have been performed at 4.2 K. Above the spin-wave instability threshold, chaotic auto-oscillations are observed. From time-series data, return maps, fractal dimensions, positive Lyapunov exponents, phase space portraits of strange attractors and two-dimensional Poincare sections are obtained. The largest Lyapunov exponent, which describes the degree of chaos, is obtained as 0.34. The Poincare sections of the phase space trajectories exhibit the stretching and holding which are characteristics of strange attractors.",
author = "Michinobu Mino and Hitoshi Yamazaki",
year = "1986",
month = "12",
language = "English",
volume = "55",
pages = "4168--4171",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "12",

}

TY - JOUR

T1 - Characterization of chaotic states of parallel-pumped magnons in yttrium iron garnet

AU - Mino, Michinobu

AU - Yamazaki, Hitoshi

PY - 1986/12

Y1 - 1986/12

N2 - Parallel pumping experiments in YIG magnons have been performed at 4.2 K. Above the spin-wave instability threshold, chaotic auto-oscillations are observed. From time-series data, return maps, fractal dimensions, positive Lyapunov exponents, phase space portraits of strange attractors and two-dimensional Poincare sections are obtained. The largest Lyapunov exponent, which describes the degree of chaos, is obtained as 0.34. The Poincare sections of the phase space trajectories exhibit the stretching and holding which are characteristics of strange attractors.

AB - Parallel pumping experiments in YIG magnons have been performed at 4.2 K. Above the spin-wave instability threshold, chaotic auto-oscillations are observed. From time-series data, return maps, fractal dimensions, positive Lyapunov exponents, phase space portraits of strange attractors and two-dimensional Poincare sections are obtained. The largest Lyapunov exponent, which describes the degree of chaos, is obtained as 0.34. The Poincare sections of the phase space trajectories exhibit the stretching and holding which are characteristics of strange attractors.

UR - http://www.scopus.com/inward/record.url?scp=0041126897&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0041126897&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0041126897

VL - 55

SP - 4168

EP - 4171

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 12

ER -