Transitions and statistical characteristics of vibrations in a bimodular oscillator.
Regular and stochastic oscillations in a simple periodically forced vibroacoustic system with a piecewise-linear (bimodular) elasticity are considered from the viewpoint of their statistical properties: oscillation spectra, the largest Lyapunov exponents, and fractal dimension. It is shown that a strange attractor exists in a limited range of parameters together with a triple-period dynamic cycle being absorbed by the latter at some finite value of the parameter. The corresponding bifurcation process is followed in detail. (c) 1995 American Institute of Physics.
Ostrovsky
L. A.
LA
Institute of Applied Physics, Russian Academy Sciences, Nizhniy Novgorod 603600, RussiaCooperative Institute for Research in Environmental Sciences, University of Colorado/NOAA Environmental Technology Laboratory, Boulder, Colorado 80303Institute of Applied Physics, Russian Academy of Sciences, Nizhniy Novgorod 603600, Russia.
Starobinets
I. M.
IM