Faculty of Physics
M.V. Lomonosov Moscow State University
Regular Article

The dynamics of circle mapping under a parametric perturbation

A.Yu. Loskutov, S.D. Rybalko

Moscow University Physics Bulletin 1993. 48. N 4. P. 15

  • Article

A standard sine mapping of a circle which effectively describes the transition from quasi-periodic motion to chaos in nonlinear systems is considered. For some parameter values corresponding to the chaotic dynamics of this mapping invariant distributions are calculated. It is shown that certain parametric actions on the mapping of a circle being in a chaotic mode result in suppression of chaos, that is, in parametric destochastization.

Rissian citation:
А.Ю. Лоскутов, С.Д. Рыбалко.
О динамике отображения окружности при параметрическом воздействии.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 1993. № 4. С. 19.
A.Yu. Loskutov, S.D. Rybalko
Department of Low-Temperature Physics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
Issue 4, 1993

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