Discrete (Roto)Breathers: Existence and stability of time-periodic
and spatially localized excitations in nonlinear chains, scattering properties
[Refs. 10, 13, Confs. 7,8]
Ratchet and rectification phenomena: dynamically symmetry breaking
effects for single (quantum) particle [Ref . 12] and for spatial distributed
systems [Ref . 11, Conf. 9]
Solitons and soliton collisions: Multi-soliton and separatrix solutions
to the sine-Gordon equation. Backlund transformations. Effects of weak
discreteness on the soliton collisions. [Refs. 2, 7, 8. Conf. 2, 3].
Structural Mechanics: Models of generalized continuum. Micropolar
continuum (materials with the beam-like microstructure, numerical methods,
analytical solutions using Fourier transformations, boundary effects and
localized fields [Refs. 3-6, 9. Confs. 9, 10]). Multi-field continuum models
and multi-field continuum approximations, continuum models for long-wave
and short-wave fields [Refs. 4, 13. Conf. 1].
Solid State Physics: Phase transitions. Applications of the catastrophe
theory to the EHM-model of crystal. Multifield autosolitons. [Ref. 1. Conf.
1].
Symbolic calculations: Maple codes for symbolic derivation of the
multi-soliton solutions to the sine-Gordon equation [officially exposed
by Waterloo Maple Inc., Canada], [Conf. 3]. Symbolic calculation of the
catastrophe set for the one-dimensional EHM model [Ref. 1] and of the micropolar
elastic constants for a beam lattice [Conf. 4].
Work experience at the scientific projects:
Project "Development of numerical models for analysis of structured deformable
systems" (Tver State University, 2000). Research supported by the Ministry
of Education of Russian Federation within the framework of the program
"Scientific researches in the universities in the field of production technologies".
Project "Development of mathematical models for prediction of physical
and mechanical characteristics of the composite materials" (Tver State
University, 2000) Grant of Ministry of Education of Russian Federation.
Teaching experience:Lectures on "ODEs with Maple" during M.S. practice (February-March,
1999).Honors and awards:Winner of competition in the field of natural science education on
student's category supported by the International Soros Science Education
Program (ISSEP) "Soros
Student - 2000".Professional memberships:None.References:
Vasiliev A.A., Miroshnichenko A.E., Dmitriev S.V. Modelling of
short-wave structures in multi-link system with internal stresses and two-periodic
exterior forces in nonlinear - elastic medium. Modelling of Complex
Systems. Issue I. Tver: Tver State University, 1998, pp.7-13, (in Russian).
Dmitriev S.V., Shigenari T., Vasiliev A.A., Miroshnichenko A.E.Effect
of discreteness on a sine-Gordon three-soliton solution. Physics Letters
A, 246(1998) 129-134.
Miroshnichenko A.E., Koldunov V.A., Vasiliev A.A. About numerical
modelling of structural systems on the basis of variational-difference
method for a micropolar elasticity. Modelling of Complex Systems. Issue
2. Tver: Tver State University, 1999, pp. 98-102, (in Russian).
Miroshnichenko A.E., Vasiliev A.A. Modelling of lattice structural
systems on the basis of discrete models and continual approximations of
the moment type. Modelling of Complex Systems. Issue 3. Tver: Tver
State University, 2000, pp. 41-47, (in Russian).
Miroshnichenko A.E.Modelling of small inclusions in a structural
medium. Scientific notes of Tver State University. V. 6. 2000, pp.
114-119, (in Russian).
Kudinov A.N., Koldunov V.A., Vasiliev A.A. and Miroshnichenko A.E.Development
of mathematical models for prediction of physical and mechanical characteristics
of the composite materials. Scientific report. Tver, 2000. 93 pages,
(in Russian).
Miroshnichenko A.E., Dmitriev S.V., Vasiliev A.A. and Shigenari
T. Inelastic three soliton collisions in a weakly discrete sine-Gordon
system. Nonlinearity, 13 (2000) pp. 837-848.
Dmitriev S.V., Shigenari T., Abe K., Vasiliev A.A. and Miroshnichenko
A.E.Phonon emission from a discrete sine-Gordon breather. Computational
Materials Science, V. 18, 2000, pp. 303-307.
Vasiliev A.A., Miroshnichenko A.E. and Dmitriev S.V. Discrete
and generalized continuum models and analysis of structural effects in
lattice systems. Modern problems of durability, plasticity and stability.
Tver: Tver State Technical University, 2001, pp. 43-48, (in Russian).
Miroshnichenko A.E., Flach S., Fistul M.V., Zolotaryuk Y., Page
J.B. Breather in Josephson junction ladders: resonances and electromagnetic
waves spectroscopy. Phys. Rev. E 64, 066601 (2001).
Flach S., Zolotaryuk Y., Miroshnichenko A. E., Fistul M.V. Broken
symmetries and directed collective energy transport. Phys. Rev. Lett.
88,
184101 (2002).
Flach S., Miroshnichenko A.E. and Ovchinnikov A. A. AC-driven
quantum spins: resonant enhancement of transverse DC magnetization.
Phys. Rev. B 65, 104438 (2002).
Fistul M.V., Miroshnichenko A.E., Flach S., Schuster M. and Ustinov
A.V. Incommensurate dynamics of resonant breathers in Josephson junction
ladders. Phys. Rev. B 65, 174524 (2002).
Dmitriev S.V., Vasiliev A.A., Miroshnichenko A.E., Shigenari T.,
Liu Y., Kagawa Y., Ishibashi Y.
Many-field theory for crystals containing
particles with rotational degrees of freedom.arXiv:
cond-mat/0209386
Flach S., Miroshnichenko A.E. and Fistul M.V. Wave scattering
by discrete breathers. Submitted to CHAOS (Focus Issue), arXiv:
cond-mat/0209427
Flach S., Miroshnichenko A. E., Fleurov V. and Fistul M. V. Fano
resonances with discrete breathers. Phys Rev. Lett. 90,
084101 (2003).
Conferences:
Vasiliev A.A., Miroshnichenko A.E., Dmitriev S.V. Modeling of
dynamics and stability of the many-link system with interior stress and
external dipole loadings in nonlinear elastic medium. // Abstracts
of the IV International Scientific Symposium "Stability and plasticity
in the Solid Mechanics". Tver, June 16-19, 1998. Pp. 45-46.
Dmitriev S.V., Abe K., Shigenari T., Vasiliev A.A., Miroshnichenko A.E.Strongly Inelastic Collision of Soliton in Weakly Perturbed Sine-Gordon
Equation. // Meeting abstracts of the Physical Society of Japan (September
25-29, 1998). Volume 53. Issue 2. Part 2. P. 278.
Miroshnichenko A.E.Modelling of discreteness effects on soliton
solutions of sine-Gordon equation. // Scientific conference dedicated
to 70-th anniversary of academician V.A.Melnicov. February 19, 1999. Moscow.
Miroshnichenko A.E., Vasiliev A.A. Modelling of lattice structural
systems on the basis of discrete models and continual approximations of
the moment type. // Mathematical modeling of Complex Systems. Conference-seminar
for young scientists. September 20-25, 1999. Tver.
Vasiliev A.A., Miroshnichenko A.E., Dmitriev S.V. Discrete and
generalized continuum models and analysis of structural effects in lattice
systems. // Abstracts of the V International Scientific Symposium "
Modern problems of durability, plasticity and stability". Tver, December
14-16, 2000. Pp. 13-14.
Kudinov A.N., Koldunov V.A., Vasiliev A.A. and Miroshnichenko A.E.Development of variational-difference method for numerical modelling
of structural systems // Abstracts of the third seminar "Theory of
the difference methods for nonlinear boundary-value problems". Kazan, September
18-21, 2000. Pp. 84-85.
Miroshnichenko A.E. , Flach S., Fistul M. V., Zolotaryuk Y., Page
J. B. Breathers in Josephson junction ladders: resonances and electromagnetic
waves spectroscopy //
