[图书][B] Nonlinear dynamics of chaotic and stochastic systems: tutorial and modern developments
VS Anishchenko, V Astakhov, A Neiman, T Vadivasova… - 2007 - Springer
We present an improved and enlarged version of our book Nonlinear-namics of Chaotic and
Stochastic Systems published by Springer in 2002. Basically, the new edition of the book …
Stochastic Systems published by Springer in 2002. Basically, the new edition of the book …
Zero-dispersion phenomena in oscillatory systems
Phenomena occurring in a particular class of nonlinear oscillatory systems—zero-dispersion
systems—are reviewed for cases with and without damping while the system is driven either …
systems—are reviewed for cases with and without damping while the system is driven either …
Coherence resonance at noisy precursors of bifurcations in nonlinear dynamical systems
A Neiman, PI Saparin, L Stone - Physical Review E, 1997 - APS
A general mechanism of coherence resonance that occurs in noisy dynamical systems close
to the onset of bifurcation is demonstrated through examples of period-doubling and torus …
to the onset of bifurcation is demonstrated through examples of period-doubling and torus …
Analogue studies of nonlinear systems
DG Luchinsky, PVE McClintock… - Reports on Progress in …, 1998 - iopscience.iop.org
The design of analogue electronic experiments to investigate phenomena in nonlinear
dynamics, especially stochastic phenomena, is described in practical terms. The advantages …
dynamics, especially stochastic phenomena, is described in practical terms. The advantages …
Stochastic resonance in monostable systems
NG Stocks, ND Stein… - Journal of Physics A …, 1993 - iopscience.iop.org
The first observations of noise-induced enhancements and phase shifts of a weak periodic
signal-characteristics signatures of stochastic resonance (SR)-are reported for a monostable …
signal-characteristics signatures of stochastic resonance (SR)-are reported for a monostable …
Frequency stabilization and noise-induced spectral narrowing in resonators with zero dispersion
Mechanical resonators are widely used as precision clocks and sensitive detectors that rely
on the stability of their eigenfrequencies. The phase noise is determined by different factors …
on the stability of their eigenfrequencies. The phase noise is determined by different factors …
Noise-induced narrowing of peaks in the power spectra of underdamped nonlinear oscillators
The spectral densities of the fluctuations of noise-driven underdamped nonlinear oscillators
are discussed with particular reference to the large class of systems whose …
are discussed with particular reference to the large class of systems whose …
Nonconventional stochastic resonance
It is argued, on the basis of linear response theory (LRT), that new types of stochastic
resonance (SR) are to be anticipated in diverse systems, quite different from the one most …
resonance (SR) are to be anticipated in diverse systems, quite different from the one most …
Zero-dispersion stochastic resonance
A new form of stochastic resonance (SR), discovered in underdamped nonlinear oscillators
for which the dependence of eigenfrequency upon energy has an extremum, is investigated …
for which the dependence of eigenfrequency upon energy has an extremum, is investigated …
Stochastic resonance in electrical circuits. II. Nonconventional stochastic resonance
DG Luchinsky, R Mannella… - … on Circuits and …, 1999 - ieeexplore.ieee.org
For pt. I see ibid., vol. 46, no. 9, pp. 1205-14 (1999). Stochastic resonance (SR), in which a
periodic signal in a nonlinear system can be amplified by added noise, is discussed. The …
periodic signal in a nonlinear system can be amplified by added noise, is discussed. The …