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Symmetry breaking in a driven and strongly damped pendulum / J. . Isohatala [et al.] // Phys. Rev. E. - 2005. - Vol. 71, Is. 6. - Ст. 66206, DOI 10.1103/PhysRevE.71.066206. - Cited References: 37 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
DC VOLTAGE GENERATION
   SEMICONDUCTOR SUPERLATTICES
   JOSEPHSON-JUNCTIONS
   BLOCH OSCILLATIONS
   FORCED PENDULUM
   CHAOS
   FREQUENCY
   SYSTEMS
   RECTIFICATION
   STANDARD
Кл.слова (ненормированные):
Periodically driven pendulums -- Symmetry breaking -- Bifurcation (mathematics) -- Damping -- Dynamics -- Nonlinear systems -- Semiconductor superlattices -- Pendulums
Аннотация: We examine the conditions for appearance of a symmetry breaking bifurcation in damped and periodically driven pendulums in the case of strong damping. We show that symmetry breaking, unlike other nonlinear phenomena, can exist at high dissipation. We prove that symmetry breaking phases exist between phases of symmetric normal and symmetric inverted oscillations. We find that symmetry broken solutions occupy a smaller region of the pendulum's parameter space in comparison to the statements made in earlier considerations [McDonald and Plischke, Phys. Rev. B 27, 201 (1983)]. Our research on symmetry breaking in a strongly damped pendulum is relevant to an understanding of the phenomena of dynamic symmetry breaking and rectification in pure ac driven semiconductor superlattices.

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Держатели документа:
Univ Oulu, Dept Phys Sci, FIN-90014 Oulu, Finland
LV Kirenskii Inst Phys, Theory Nonlinear Proc Lab, Krasnoyarsk 660036, Russia
ИФ СО РАН
Department of Physical Sciences, P. O. Box 3000, Oulu FIN-90014, Finland
Theory of Nonlinear Processes Laboratory, Kirensky Institute of Physics, Krasnoyarsk 660036, Russian Federation

Доп.точки доступа:
Isohatala, J.; Alekseev, K. N.; Kurki, L. T.; Pietilainen, P.
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Fractional and unquantized dc voltage generation in THz-driven semiconductor superlattices (vol 56, pg 842, 2001) / K. N. Alekseev [et al.] // Europhys. Lett. - 2004. - Vol. 68, Is. 5. - P. 753-753, DOI 10.1209/epl/i2004-10312-5. - Cited References: 1 . - ISSN 0295-5075

РУБ Physics, Multidisciplinary

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Держатели документа:
Univ Oulu, Dept Phys Sci, Div Theoret Phys, FIN-90014 Oulu, Finland
LV Kirenskii Inst Phys, Theory Nonlinear Proc Lab, Krasnoyarsk 66036, Russia
Univ Notre Dame, Dept Elect Engn, Notre Dame, IN 46556 USA
Loughborough Univ Technol, Dept Phys, Loughborough LE11 3TU, Leics, England
Boston Univ, Dept Elect & Comp Engn, Boston, MA 02215 USA
Boston Univ, Dept Phys, Boston, MA 02215 USA
ИФ СО РАН
Division of Theoretical Physics, Department of Physical Sciences, University of Oulu, Finland
Theor. of Nonlinear Processes Lab., Kirensky Institute of Physics, Krasnoyarsk 66036, Russian Federation
Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN 46556, United States
Department of Physics, Loughborough University, Loughborough, LE11 3TU, United Kingdom
Department of Electrical Engineering, Boston University, Boston, MA 02215, United States
Departmont of Physical Sciences, University of Oulu, FIN-90014, Finland
Доп.точки доступа:
Alekseev, K. N.; Cannon, E. H.; Kusmartsev, F. V.; Campbell, D. K.
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Alekseev, K. N.
Pendulum limit, chaos and phase-locking in the dynamics of ac-driven semiconductor superlattices / K. N. Alekseev, F. V. Kusmartsev // Phys. Lett. A. - 2002. - Vol. 305, Is. 5. - P. 281-288, DOI 10.1016/S0375-9601(02)01420-2. - Cited References: 60 . - ISSN 0375-9601

РУБ Physics, Multidisciplinary
Рубрики:
STRANGE NONCHAOTIC ATTRACTORS
   DC VOLTAGE GENERATION
   JOSEPHSON-JUNCTIONS
   GAAS/ALAS SUPERLATTICE
   BLOCH OSCILLATIONS
   TERAHERTZ RADIATION
   ELECTRIC-FIELD
   THZ RADIATION
   FREQUENCY
   TRANSPORT
Кл.слова (ненормированные):
semiconductor superlattice -- pendulum -- chaos -- phase-locking -- Josephson junction -- Chaos -- Josephson junction -- Pendulum -- Phase-locking -- Semiconductor superlattice -- analytic method -- analytical parameters -- article -- dynamics -- electric potential -- semiconductor -- temperature
Аннотация: We describe a limiting case when nonlinear dynamics of an ac-driven semiconductor superlattice in the miniband transport regime is governed by a periodically forced and damped pendulum equations. We find analytically the conditions for a transition to chaos. With increasing temperature the chaos disappears. We also discuss fractional do voltage states in a superlattice originating from phase-locked states of the pendulum. (C) 2002 Elsevier Science B.V. All rights reserved.

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Держатели документа:
Oulu Univ, Dept Phys Sci, FIN-90014 Oulu, Finland
LV Kirenskii Inst Phys, Theory Nonlinear Proc Lab, Krasnoyarsk 660036, Russia
Loughborough Univ Technol, Dept Phys, Loughborough LE11 3TU, Leics, England
ИФ СО РАН
Department of Physical Sciences, University of Oulu, P.O. Box 3000, FIN-90014, Oulu, Finland
Theory of Nonlin. Proc. Laboratory, Kirensky Institute of Physics, Krasnoyarsk 660036, Russian Federation
Department of Physics, Loughborough University, Loughborough LE11 3TU, United Kingdom

Доп.точки доступа:
Kusmartsev, F. V.
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Alekseev, K. N.
Optical chaos in nonlinear photonic crystals / K. N. Alekseev, A. V. Ponomarev // JETP Letters. - 2002. - Vol. 75, Is. 4. - P. 174-178, DOI 10.1134/1.1475717. - Cited References: 34 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
Рубрики:
POLED LITHIUM-NIOBATE
   3RD-HARMONIC GENERATION
   WAVE-GUIDES
   SUPERLATTICES
   CHI((2))
Аннотация: We examine the spatial evolution of lightwaves in a nonlinear photonic crystal with a quadratic nonlinearity, when a second harmonic and a sum-frequency generation are simultaneously quasi-phase-matched. We find the conditions for a transition to Hamiltonian chaos for different amplitudes of lightwaves at the crystal boundary. (C) 2002 MAIK "Nauka/ Interperiodica".

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Держатели документа:
Univ Oulu, Dept Phys Sci, FIN-90014 Oulu, Finland
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
Russian Acad Sci, LV Kirensky Phys Inst, Theory Nonlinear Proc Lab, Krasnoyarsk 660036, Russia
Krasnoyarsk State Univ, Dept Phys, Krasnoyarsk 660041, Russia
ИФ СО РАН
Max-Planck-Inst. Physik Komplexer S., D-01187 Dresden, Germany
Theor. of Nonlinear Processes Lab., Kirensky Institute of Physics, Russian Academy of Sciences, Krasnoyarsk, 660036, Russian Federation
Department of Physics, Krasnoyarsk State University, Krasnoyarsk, 660041, Russian Federation

Доп.точки доступа:
Ponomarev, A. V.
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Fractional and unquantized dc voltage generation in THz-driven semiconductor superlattices / K. N. Alekseev [et al.] // Europhys. Lett. - 2001. - Vol. 56, Is. 6. - P. 842-848, DOI 10.1209/epl/i2001-00596-9. - Cited References: 40 . - ISSN 0295-5075

РУБ Physics, Multidisciplinary
Рубрики:
BLOCH OSCILLATIONS
   SYMMETRY-BREAKING
   ELECTRIC-FIELD
   FREQUENCY
   TRANSPORT
   CHAOS
   RESONANCES
   RADIATION
Аннотация: We consider the spontaneous creation of a dc voltage across a strongly coupled semiconductor superlattice subjected to THz radiation. We show that the dc voltage may be approximately proportional either to an integer or to a half-integer multiple of the frequency of the applied ac field, depending on the ratio of the characteristic scattering rates of conducting electrons. For the case of an ac field frequency less than the characteristic scattering rates, we demonstrate the generation of an unquantized dc voltage.

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Держатели документа:
Univ Oulu, Dept Phys Sci, Div Theoret Phys, FIN-90014 Oulu, Finland
LV Kirenskii Inst Phys, Theory Nonlinear Proc Lab, Krasnoyarsk 660036, Russia
Univ Notre Dame, Dept Elect Engn, Notre Dame, IN 46556 USA
Univ Loughborough, Dept Phys, Loughborough LE11 3TU, Leics, England
Boston Univ, Dept Elect & Comp Engn, Boston, MA 02215 USA
Boston Univ, Dept Phys, Boston, MA 02215 USA
ИФ СО РАН
Theor. of Nonlinear Processes Lab., Kirensky Institute of Physics, Krasnoyarsk 660036, Russian Federation
Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN 46556, United States
Department of Physics, Loughborough University, Loughborough, LE11 3TU, United Kingdom
Depts. of Elec. and Comp. E., Boston University, Boston, MA 02215, United States

Доп.точки доступа:
Alekseev, K. N.; Cannon, E. H.; Kusmartsev, F. V.; Campbell, D. K.
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Multistability, absolute negative conductivity and spontaneous current generation in semiconductor superlattices in large magnetic fields / E. H. Cannon [et al.] // Superlattices Microstruct. - 2000. - Vol. 27, Is. 5-6. - P. 495-498, DOI 10.1006/spmi.2000.0866. - Cited References: 7 . - ISSN 0749-6036

РУБ Physics, Condensed Matter
Рубрики:
TRANSPORT
Кл.слова (ненормированные):
superlattice -- miniband transport -- nonlinear transport -- Current voltage characteristics -- Electric conductivity -- Electron transport properties -- Magnetic field effects -- Mathematical models -- Multistable circuits -- Balance equation models -- Hot electrons -- Miniband transport -- Semiconductor superlattices
Аннотация: We discuss electron transport through a semiconductor superlattice subject to an electric field parallel to, and a magnetic field perpendicular to, the growth axis using a semiclassical balance equation model. We find that the current-voltage characteristic becomes multistable in a large magnetic field; furthermore, hot electrons display novel features in their current-voltage characteristic, including absolute negative conductivity and a spontaneously generated de current at zero bias. (C) 2000 Academic Press.

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Держатели документа:
Univ Illinois, Dept Phys, Urbana, IL 61801 USA
Univ Loughborough, Dept Phys, Loughborough LE11 3TU, Leics, England
LV Kirensky Phys Inst, Theory Nonlinear Proc Lab, Krasnoyarsk 660036, Russia
ИФ СО РАН
Department of Physics, Univ. Illinois at Urbana-Champaign, 1110 W. Green St., Urbana, IL 61801, United States
Department of Physics, Loughborough University, Loughborough, LE11 3TU, United Kingdom
Theor. of Nonlinear Processes Lab., Kirensky Institute of Physics, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Cannon, E. H.; Campbell, D. K.; Kusmartsev, F. V.; Alekseev, K. N.; International Workshop on Surgaces and Interfaces in Mesoscopic Devices(3 ; 1999 ; Dec. ; 6-10 ; Maui, Hawaii)
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Alekseev, K. N.
Quantum-classical correspondence and nonclassical state generation in dissipative quantum optical systems / K. N. Alekseev, N. V. Alekseeva, J. . Perina // J. Exp. Theor. Phys. - 2000. - Vol. 90, Is. 4. - P. 592-599, DOI 10.1134/1.559142. - Cited References: 32 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
2ND-HARMONIC GENERATION
   STATISTICAL PROPERTIES
   HARMONIC-GENERATION
   SQUEEZED STATES
   CHAOS
   LIGHT
   NONLINEARITIES
   INSTABILITIES
   DYNAMICS
   ATOMS
Аннотация: We develop a semiclassical method to determine the nonlinear dynamics of dissipative quantum optical systems in the limit of large number of photons N; it is based on the 1/N-expansion and the quantum-classical correspondence. The method is used to tackle two problems: the study of the dynamics of nonclassical state generation in higher order anharmonic dissipative oscillators and the establishment of the difference between the quantum and classical dynamics of the second-harmonic generation in a self-pulsing regime. In addressing the first problem, we obtain an explicit time dependence of the squeezing and the Fano factor for an arbitrary degree of anharmonism in the short-time approximation. For the second problem, we analytically find a characteristic time scale at which the quantum dynamics differs insignificantly from the classical one. (C) 2000 MAIK "Nauka/Interperiodica".

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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
Palacky Univ, Dept Opt, Olomouc 77207, Czech Republic
Palacky Univ, Joint Lab Opt, Olomouc 77207, Czech Republic
ИФ СО РАН

Доп.точки доступа:
Alekseeva, N. V.; Perina, J.
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Alekseev, K. N.
The 1/N-expansion, quantum-classical correspondence and nonclassical states generation in dissipative higher-order anharmonic oscillators / K. N. Alekseev, J. . Perina // Phys. Scr. - 2000. - Vol. 61, Is. 1. - P. 7-16, DOI 10.1238/Physica.Regular.061a00007. - Cited References: 38 . - ISSN 0281-1847

РУБ Physics, Multidisciplinary
Рубрики:
2ND-HARMONIC GENERATION
   HARMONIC-GENERATION
   SQUEEZED STATES
   CHAOS
   LIGHT
   MECHANICS
   DYNAMICS
   STATISTICS
   SYSTEMS
   OPTICS
Аннотация: We develop a method for the determination of the dynamics of dissipative quantum systems in the limit of large number of quanta N, based on the 1/N-expansion of Heidmann et al. [Opt. Commun. 54, 189 (1985)] and the quantum-classical correspondence. Using this method, we End analytically the dynamics of nonclassical states generation in the higher-order anharmonic dissipative oscillators for an arbitrary temperature of a reservoir. We show that the quantum correction to the classical motion increases with time quadratically up to some maximal value, which is dependent on the degree of nonlinearity and a damping constant, and then it decreases. Similarities and differences with the corresponding behavior of the quantum corrections to the classical motion in the Hamiltonian chaotic systems are discussed. We also compare our results obtained for some limiting cases with the results obtained by using other semiclassical tools and discuss the conditions for validity of our approach.

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Держатели документа:
Palacky Univ, Dept Opt, Olomouc 77207, Czech Republic
Palacky Univ, Joint Lab Opt, Olomouc 77207, Czech Republic
Acad Sci Czech Republ, Dept Opt, Olomouc, Czech Republic
Acad Sci Czech Republ, Joint Lab Opt, Olomouc 77207, Czech Republic
Russian Acad Sci, Theory Nonlinear Proc Lab, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Perina, J.
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Alekseev, K. N.
Direct-current generation due to wave mixing in semiconductors / K. N. Alekseev, M. V. Erementchouk, F. V. Kusmartsev // Europhys. Lett. - 1999. - Vol. 47, Is. 5. - P. 595-600, DOI 10.1209/epl/i1999-00430-0. - Cited References: 34 . - ISSN 0295-5075

РУБ Physics, Multidisciplinary
Рубрики:
BLOCH OSCILLATOR
   SUPERLATTICES
   PHOTOCURRENT
   TRANSPORT
   FREQUENCY
   FIELD
   RECTIFIERS
   EMISSION
   CHAOS
   GAAS
Аннотация: We describe an effect of the generation of direct current which may arise in semiconductors or semiconductor microstructures due to a mixing of coherent electromagnetic radiations of commensurate frequencies. The effect is, in essence, due to a nonparabolicity of the electron energy bands and is stronger in systems where this nonparabolicity is greater. We have made exact calculations in the framework of the Kane model, applicable to narrow-gap semiconductors and the tight-binding model which we employ for a description of a semiconductor superlattice.

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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
Loughborough Univ Technol, Sch Math & Phys Sci, Loughborough LE11 3TU, Leics, England
Russian Acad Sci, LD Landau Theoret Phys Inst, Chernogolovka 142432, Russia
ИФ СО РАН
Kirensky Institute of Physics, Russian Academy of Sciences, Krasnoyarsk 660036, Russian Federation
Sch. of Math. and Physical Sciences, Loughborough University, Loughborough LE11 3TU, United Kingdom
Landau Inst. for Theoretical Physics, Russian Academy of Sciences, Moscow 142432, Russian Federation

Доп.точки доступа:
Erementchouk, M. V.; Kusmartsev, F. V.
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10.

Alekseev, K. N.
Strange attractor in resonant tunneling / K. N. Alekseev, G. P. Berman, D. K. Campbell // Phys. Rev. B. - 1998. - Vol. 58, Is. 7. - P. 3954-3962, DOI 10.1103/PhysRevB.58.3954. - Cited References: 38 . - ISSN 0163-1829

РУБ Physics, Condensed Matter
Рубрики:
INTRINSIC BISTABILITY
   RING CAVITY
   OPTICAL TURBULENCE
   TRANSMITTED LIGHT
   QUANTUM-WELLS
   OSCILLATIONS
   BARRIERS
   SYSTEM
   STATE
   TIME
Аннотация: We consider the process of resonant electron tunneling through a double-barrier potential, taking into account nonlinear dynamical effects generated by charge accumulation in the interbarrier space. We use the perturbation approach of Davydov and Ermakov, which was developed for investigating intrinsic bistability in resonant tunneling. For incoming electron flow, which is modulated slowly in time, we show that the resulting nonlinear dynamics can become chaotic, with the chaos described (because of the open nature of the system) by a strange attractor. We determine the conditions for the existence of this strange attractor and estimate characteristic experimental parameters for its observation.

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Держатели документа:
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
Univ Calif Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
Univ Calif Los Alamos Natl Lab, CNLS, Los Alamos, NM 87545 USA
Univ Illinois, Dept Phys, Urbana, IL 61801 USA
ИФ СО РАН

Доп.точки доступа:
Berman, G. P.; Campbell, D. K.
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