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Zverev V. V. On the origination of the chaotic attractor in nuclear spin motion in ferromagnet. Izvestiya VUZ. Applied Nonlinear Dynamics, 1993, vol. 1, iss. 1, pp. 72-82.

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

On the origination of the chaotic attractor in nuclear spin motion in ferromagnet

Autors: 
Zverev V. V., Ural Federal University named after the first President of Russia B.N.Yeltsin
Abstract: 

It is shown both analytically and numerically that the chaotic attractor arises in the nuclear spin motion in ferromagnet and it has the Cantor set structure. The statistical treatment has been used for the investigation of the intense mixing case.

Key words: 
-
Reference: 
  1. Schuster HG. Deterministic Chaos. Weinheim: VCH; 1988. 270 p.
  2. Turov EA, Kurkin МI, Nikolaev VV. Nuclear spin motion with allowance for Suhl-Nakamura interaction. J. Exp. Theor. Phys. 1973;37(1):147-153. Borovik-Romanov АS, Bunkov YuM, Dumesh BS, Kurkin MI, Petrov MP, Chekmarev VP. The spin echo in systems with a coupled electron-nuclear precession. Sov. Phys. Usp. 1984;27(4):235-255. DOI: 10.1070/PU1984v027n04ABEH004041.
  3. Buishvili LL, Ugulava АI. On the stochastic motion of the nuclear magnetisation vector. Phys. Solid State. 1983;25(8):2370-2373. Alekseev КN, Berman GP, Tsifrinovich VI. In: Proc. IV International Working Group on Nonlinear and Turbulent Processes in Physics. Kiev; 1989. Vol. 2. P.334. Alekseev КN, Berman GP, Tsifrinovich VI. Chaotic dynamics in NMR. J. Exp. Theor. Lett. 1990;70(4):718-724.
  4. Rukhlov VS. Chaotic regime in nonlinear NMR. JETP Lett. 1991;52(8):454-459. Rukhlov VS. Bifurcations and chaos in nonlinear NMR. Phys. Lett. A. 1991;160(2):131-137. DOI: 10.1016/0375-9601(91)90601-4.
  5. Bribges R, Rowlands G. On the analytic form of some strange attractors. Phys. Lett. A. 1977;63(3):189-190. DOI: 10.1016/0375-9601(77)90869-6. Yamaguchi Y, Mishima N. Structure of strange attractor and homoclinic bifurcation of two-dimensional cubic map. Phys. Lett. A. 1984;104(4):179-183. DOI: 10.1016/0375-9601(84)90258-5. Zverev VV, Rubinshtein BYa. On multistability caused by chaos restructuring in a ring resonator with a nonlinear element. Optics and Spectroscopy. 1987;62(4):872-877.
  6. Zverev VV, Rubinshtein BYa. Chaotic automodulation of radiation in a ring resonator. A case of heavy mixing. Optics and Spectroscopy. 1988;65(4):971-978. Zverev VV, Rubinstein BYa. Chaotic oscillations and noise transformations in a simple dissipative system with delayed feedback. J. Stat. Phys. 1991;63:221-239. DOI: 10.1007/BF01026600.
  7. Feder J. Fractals. N.Y.: Springer; 1988. 284 p. DOI: 10.1007/978-1-4899-2124-6.
Received: 
24.01.1993
Accepted: 
03.03.1993
Published: 
20.07.1993
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