Asymptotic analysis of a multiferroic model

被引:1
|
作者
Kalyakin, L. A. [1 ]
Zvezdin, A. K. [2 ,3 ]
Gareeva, Z. V. [4 ]
机构
[1] Russian Acad Sci, Subdiv Ufa Fed Res Ctr, Ctr Comp, Inst Math, Ufa, Russia
[2] RAS, Prokhorov Gen Phys Inst, Moscow, Russia
[3] Natl Res Univ Higher Sch Econ, Moscow, Russia
[4] RAS, Ufa Sci Ctr, Inst Mol & Crystal Phys, Ufa, Russia
关键词
multiferroics; nonlinear equation; variational problem; small parameter; asymptotics;
D O I
10.1134/S0040577920040030
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider a system of nonlinear autonomous differential equations that describe the orientation of the antiferromagnetic vector in a multiferroic film and find the conditions for the existence of spatially modulated structures of the cycloid type. We investigate the stability of such structures under spatial perturbations.
引用
收藏
页码:457 / 468
页数:12
相关论文
共 50 条
  • [1] Asymptotic analysis of a multiferroic model
    L. A. Kalyakin
    A. K. Zvezdin
    Z. V. Gareeva
    Theoretical and Mathematical Physics, 2020, 203 : 457 - 468
  • [2] Asymptotic analysis of a model of autoresonance
    Kalyakin, Leonid
    INTERNATIONAL CONFERENCE ON CONTROL AND SYNCHRONIZATION OF DYNAMICAL SYSTEMS (CSDS-2005), 2005, 23 : 17 - 22
  • [3] An asymptotic analysis of an autoresonance model
    Kalyakin, LA
    DOKLADY MATHEMATICS, 2001, 63 (03) : 379 - 382
  • [4] Asymptotic analysis of an autoresonance model
    Kalyakin, LA
    RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2002, 9 (01) : 84 - 95
  • [5] Asymptotic analysis of an autoresonance model
    Kalyakin, L.A.
    Doklady Akademii Nauk, 2001, 378 (05) : 594 - 598
  • [6] Asymptotic analysis of a selection model with space
    Mirrahimi, Sepideh
    Perthame, Benoit
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2015, 104 (06): : 1108 - 1118
  • [7] ASYMPTOTIC ANALYSIS OF THE SURFING ACCELERATION MODEL
    Kalyakin, L. A.
    UFA MATHEMATICAL JOURNAL, 2012, 4 (02): : 102 - +
  • [8] The quantum Neumann model: asymptotic analysis
    Bellon, M
    Talon, M
    PHYSICS LETTERS A, 2006, 351 (4-5) : 283 - 289
  • [9] Asymptotic analysis of the model of gyromagnetic autoresonance
    L. A. Kalyakin
    Computational Mathematics and Mathematical Physics, 2017, 57 : 281 - 296
  • [10] ASYMPTOTIC ANALYSIS OF A VISCOUS COCHLEAR MODEL
    KELLER, JB
    NEU, JC
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1985, 77 (06): : 2107 - 2110