Engineering topics

Pavlova, O. N.

Publications and source records attributed to Pavlova, O. N..

3 records

DOE OSTI2019

The Influence of Switching between Chaotic Regimes on the Correlation Characteristics of Nonlinear Systems

The problem of dynamic regime diagnostics in nonlinear systems using their experimental time series is studied in the presence of switching between various oscillatory processes. Interpretation of such data can be affected by errors in the calculated correlation characteristics caused by the presence of fragments corresponding to different dynamic regimes. It is shown that the switching between various regimes more significantly influences the diagnostics of anticorrelated dynamics.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

DOE OSTI2017

Analysis of chaotic dynamic regimes using series of interburst intervals

The problem of reconstruction of dynamic systems in the presence of noise using series of interburst intervals is solved. It is shown that the reconstruction procedure can be applied to strongly nonlinear noisy oscillatory processes. The results make it possible to generalize the method for analysis of dynamic systems with respect to recovery time to a wide variety of neuron oscillators.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

DOE OSTI2015

Quantifying chaotic dynamics from integrate-and-fire processes

Characterizing chaotic dynamics from integrate-and-fire (IF) interspike intervals (ISIs) is relatively easy performed at high firing rates. When the firing rate is low, a correct estimation of Lyapunov exponents (LEs) describing dynamical features of complex oscillations reflected in the IF ISI sequences becomes more complicated. In this work we discuss peculiarities and limitations of quantifying chaotic dynamics from IF point processes. We consider main factors leading to underestimated LEs and demonstrate a way of improving numerical determining of LEs from IF ISI sequences. We show that estimations of the two largest LEs can be performed using around 400 mean periods of chaotic oscillations in the regime of phase-coherent chaos. Application to real data is discussed.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗