Tatyana Karyakina

    Publications:

    Maglevanny I. I., Smolar V. A., Karyakina T. I.
    Abstract
    In this paper, we consider activation processes in a nonlinear metastable system based on a quasi-two-dimensional superlattice and study the dynamics of such a system, which is externally driven by a harmonic force in regimes of controlled instabilities. The spontaneous transverse electric field is considered as an order parameter and the forced violations of the order parameter are considered as a response of a system to periodic driving. The internal control parameters are the longitudinal applied electric field, the sample temperature and the magnetic field which is orthogonal to the superlattice plane. We investigate the cooperative effects of self-organization and high harmonic forcing in such a system from the viewpoint of catastrophe theory It is shown through numerical simulations that the additional magnetic field breaks the static macrostates symmetry and leads to generation of even harmonics; it also allows the control of the intensity of particular harmonics. The intensity of even harmonics demonstrates resonanttype nonmonotonic dependence on control parameters with the maxima at points close to critical points of the synergetic potential.
    Keywords: lateral superlattices, bifurcation-based device, spontaneous transverse electric field, nonequilibrium phase transitions, symmetry breaking of magnetic-field-induced macrostates, resonant enhancement of even harmonics
    Citation: Maglevanny I. I., Smolar V. A., Karyakina T. I.,  Effects of a Perpendicularly Applied Magnetic Field on Harmonically Driven Quasi-two-dimensional Electron Gas: the Static Macrostates Symmetry Breaking and Generation of Even Harmonics in System Output, Rus. J. Nonlin. Dyn., 2021, Vol. 17, no. 2, pp.  141-156
    DOI:10.20537/nd210201
    Maglevanny I. I., Smolar V. A., Karyakina T. I.
    Abstract
    In this paper, we consider the activation processes in a nonlinear bistable system based on a lateral (quasi-two-dimensional) superlattice and study the dynamics of such a system externally driven by a harmonic force. The internal control parameters are the longitudinal applied electric field and the sample temperature. The spontaneous transverse electric field is considered as an order parameter. The forced violations of the order parameter are considered as a response of a system to periodic driving. We investigate the cooperative effects of self-organization and harmonic forcing from the viewpoint of catastrophe theory. Complex nonlinear behaviors including the energetic activation barrier or, more generally, a form of threshold leading to forced bifurcations of dc components of output response accompanied by enhancement of its odd harmonic components were discovered in limited narrow ranges of the control parameters space through numerical simulations. We observed the resonant behaviors of spectral amplification coefficient which is maximized when control parameters are tuned near the critical values of synergetic potential.
    Keywords: lateral superlattices, applied electric field, spontaneous transverse electric field, nonequilibrium phase transitions, synergetic potential, forced bifurcations, resonant enhancement
    Citation: Maglevanny I. I., Smolar V. A., Karyakina T. I.,  Weak Signals Amplification Through Controlled Bifurcations in Quasi-Two-Dimensional Electron Gas, Rus. J. Nonlin. Dyn., 2018, Vol. 14, no. 4, pp.  453-472
    DOI:10.20537/nd180403

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