Standard

Dynamics and control of oscillations in a complex crystalline lattice. / Aero, Eron; Fradkov, Alexander; Andrievsky, Boris; Vakulenko, Sergey.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 353, No. 1, 17.04.2006, p. 24-29.

Research output: Contribution to journal › Article › peer-review

Harvard

Aero, E, Fradkov, A, Andrievsky, B & Vakulenko, S 2006, 'Dynamics and control of oscillations in a complex crystalline lattice', Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 353, no. 1, pp. 24-29. https://doi.org/10.1016/j.physleta.2005.12.051

APA

Aero, E., Fradkov, A., Andrievsky, B., & Vakulenko, S. (2006). Dynamics and control of oscillations in a complex crystalline lattice. Physics Letters, Section A: General, Atomic and Solid State Physics, 353(1), 24-29. https://doi.org/10.1016/j.physleta.2005.12.051

Vancouver

Aero E, Fradkov A, Andrievsky B, Vakulenko S. Dynamics and control of oscillations in a complex crystalline lattice. Physics Letters, Section A: General, Atomic and Solid State Physics. 2006 Apr 17;353(1):24-29. https://doi.org/10.1016/j.physleta.2005.12.051

Author

Aero, Eron ; Fradkov, Alexander ; Andrievsky, Boris ; Vakulenko, Sergey. / Dynamics and control of oscillations in a complex crystalline lattice. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 2006 ; Vol. 353, No. 1. pp. 24-29.

BibTeX

@article{cc14b5b761bc4a5eb05020def51fd6ee,
title = "Dynamics and control of oscillations in a complex crystalline lattice",
abstract = "A highly nonlinear system of acoustic and optical oscillations in a complex crystalline lattice consisting of two sublattices is analyzed. The system is obtained as a generalization of the linear Carman-Born-Kun Huang theory. Large displacements of atoms up to structure stability loss and restructuring are admitted. It is shown that the system has nontrivial solutions describing movements of fronts, emergence of periodic structures and defects. Strong interaction of acoustic and optical modes of oscillation for media without center of symmetry is demonstrated. A possibility of energy-excitation of the optical mode by means of controlling torque applied to the ends of the lattice is examined. Control algorithm based on speed-gradient method is proposed and analyzed numerically. Simulation results demonstrate that application of control may eliminate or reduce influence of initial conditions. An easily realizable nonfeedback version of control algorithm is proposed possessing similar properties.",
keywords = "Complex lattice, Energy control, Nonlinear oscillations, Shock waves, Speed gradient",
author = "Eron Aero and Alexander Fradkov and Boris Andrievsky and Sergey Vakulenko",
note = "Funding Information: The work was partly supported by Russian Foundation of Basic Research (grants RFBR 05-01-00869 and 04-01-00052) and Complex Program of the Presidium of RAS No 19, project 1.4. ",
year = "2006",
month = apr,
day = "17",
doi = "10.1016/j.physleta.2005.12.051",
language = "English",
volume = "353",
pages = "24--29",
journal = "Physics Letters A",
issn = "0375-9601",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - Dynamics and control of oscillations in a complex crystalline lattice

AU - Aero, Eron

AU - Fradkov, Alexander

AU - Andrievsky, Boris

AU - Vakulenko, Sergey

N1 - Funding Information: The work was partly supported by Russian Foundation of Basic Research (grants RFBR 05-01-00869 and 04-01-00052) and Complex Program of the Presidium of RAS No 19, project 1.4.

PY - 2006/4/17

Y1 - 2006/4/17

N2 - A highly nonlinear system of acoustic and optical oscillations in a complex crystalline lattice consisting of two sublattices is analyzed. The system is obtained as a generalization of the linear Carman-Born-Kun Huang theory. Large displacements of atoms up to structure stability loss and restructuring are admitted. It is shown that the system has nontrivial solutions describing movements of fronts, emergence of periodic structures and defects. Strong interaction of acoustic and optical modes of oscillation for media without center of symmetry is demonstrated. A possibility of energy-excitation of the optical mode by means of controlling torque applied to the ends of the lattice is examined. Control algorithm based on speed-gradient method is proposed and analyzed numerically. Simulation results demonstrate that application of control may eliminate or reduce influence of initial conditions. An easily realizable nonfeedback version of control algorithm is proposed possessing similar properties.

AB - A highly nonlinear system of acoustic and optical oscillations in a complex crystalline lattice consisting of two sublattices is analyzed. The system is obtained as a generalization of the linear Carman-Born-Kun Huang theory. Large displacements of atoms up to structure stability loss and restructuring are admitted. It is shown that the system has nontrivial solutions describing movements of fronts, emergence of periodic structures and defects. Strong interaction of acoustic and optical modes of oscillation for media without center of symmetry is demonstrated. A possibility of energy-excitation of the optical mode by means of controlling torque applied to the ends of the lattice is examined. Control algorithm based on speed-gradient method is proposed and analyzed numerically. Simulation results demonstrate that application of control may eliminate or reduce influence of initial conditions. An easily realizable nonfeedback version of control algorithm is proposed possessing similar properties.

KW - Complex lattice

KW - Energy control

KW - Nonlinear oscillations

KW - Shock waves

KW - Speed gradient

UR - http://www.scopus.com/inward/record.url?scp=33645088689&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2005.12.051

DO - 10.1016/j.physleta.2005.12.051

M3 - Article

AN - SCOPUS:33645088689

VL - 353

SP - 24

EP - 29

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 1

ER -

ID: 87384314