Self-oscillations and critical fluctuations

An active system is analyzed whose parameter space contains a bistable region of stationary states bounded by a cuspidal point. This point is somewhat analogous to the critical point of a non-symmetry-breaking phase transition (in terms of high low-frequency susceptibility, fluctuation growth, etc.)...

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Veröffentlicht in:	Journal of experimental and theoretical physics 2009-02, Vol.108 (2), p.349-355
Hauptverfasser:	Vaganova, N. I., Rumanov, É. N.
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS CRYSTAL GROWTH Electronic Properties of Solids Elementary Particles FLUCTUATIONS INSTABILITY OSCILLATIONS Particle and Nuclear Physics PERIODICITY PHASE TRANSFORMATIONS Physics Physics and Astronomy Quantum Field Theory Relativity Theory Solid State Physics SYMMETRY BREAKING
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description	An active system is analyzed whose parameter space contains a bistable region of stationary states bounded by a cuspidal point. This point is somewhat analogous to the critical point of a non-symmetry-breaking phase transition (in terms of high low-frequency susceptibility, fluctuation growth, etc.). The system has not only stationary states, but also periodic oscillatory ones. When parameters change so that the oscillatory instability threshold passes through the cuspidal point, the continuous spectrum of fluctuations transforms into the discrete spectrum of periodic oscillations. The dynamics associated with this transformation are examined.
doi_str_mv	10.1134/S1063776109020174
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subjects	Classical and Quantum Gravitation CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS CRYSTAL GROWTH Electronic Properties of Solids Elementary Particles FLUCTUATIONS INSTABILITY OSCILLATIONS Particle and Nuclear Physics PERIODICITY PHASE TRANSFORMATIONS Physics Physics and Astronomy Quantum Field Theory Relativity Theory Solid State Physics SYMMETRY BREAKING
title	Self-oscillations and critical fluctuations
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