scholarly journals Fluctuational transitions and critical phenomena in a periodically driven nonlinear oscillator subject to weak noise

1993 ◽  
Author(s):  
M. I. Dykman ◽  
R. Mannella ◽  
D. G. Luchinsky ◽  
P. V. E. McClintock ◽  
N. D. Stein ◽  
...  
Keyword(s):  
Critical Phenomena ◽  
Nonlinear Oscillator ◽  
Weak Noise ◽  
Periodically Driven

Bifurcation Analysis of Zero-Dispersion Nonlinear Resonance

1998 ◽  
Vol 08 (04) ◽  
pp. 701-712 ◽  
Author(s):  
R. Mannella ◽  
S. M. Soskin ◽  
P. V. E. McClintock
Keyword(s):  
Bifurcation Analysis ◽  
Nonlinear Oscillator ◽  
Nonlinear Resonance ◽  
External Noise ◽  
Periodically Driven ◽  
Onset Of Chaos

The problem of zero-dispersion nonlinear resonance — a phenomenon that can occur in a periodically-driven nonlinear oscillator whose eigenfrequency as a function of energy possesses an extremum — has been formulated in general for both the dissipative and nondissipative situations. A complete bifurcation analysis and classification of period-1 orbits is presented. The significance of bifurcations for the onset of chaos in the system, and for fluctuations in the presence of external noise, is discussed.

scholarly journals Random perturbations of a periodically driven nonlinear oscillator: escape from a resonance zone

Nonlinearity ◽  
2017 ◽  
Vol 30 (4) ◽  
pp. 1376-1404 ◽  
Author(s):  
Nishanth Lingala ◽  
N Sri Namachchivaya ◽  
Ilya Pavlyukevich
Keyword(s):  
Nonlinear Oscillator ◽  
Random Perturbations ◽  
Resonance Zone ◽  
Periodically Driven

Transport of quantum states of periodically driven systems

1990 ◽  
Vol 51 (8) ◽  
pp. 709-722 ◽  
Author(s):  
H.P. Breuer ◽  
K. Dietz ◽  
M. Holthaus
Keyword(s):  
Quantum States ◽  
Driven Systems ◽  
Periodically Driven

CRITICAL PHENOMENA OF ANISOTROPIC SPIN GLASS ZnMn

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-1057-C8-1058
Author(s):  
S. Murayama ◽  
Y. Miyako ◽  
E. F. Wassermann
Keyword(s):  
Spin Glass ◽  
Critical Phenomena

Phase transitions and critical phenomena in condensed media

1999 ◽  
Vol 169 (6) ◽  
pp. 695
Author(s):  
Ibragimkhan K. Kamilov ◽  
Akai K. Murtazaev
Keyword(s):  
Phase Transitions ◽  
Critical Phenomena ◽  
Condensed Media
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