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- A. S. Karavaev, M. D. Prokhorov, +4 authors B. P. Bezruchko
- Chaos
- 2009

We investigate synchronization between the low-frequency oscillations of heart rate and blood pressure having in humans a basic frequency close to 0.1 Hz. A method is proposed for quantitativeâ€¦ (More)

- A. Kiselev, A. B. Bespyatov, +4 authors P. Ya. Dovgalevskii
- Human Physiology
- 2007

Synchronization parameters of 0.1-Hz rhythms isolated from the heart rate and the oscillations of the blood volume in microcirculatory vessels were studied in 12 healthy subjects and 32 patients withâ€¦ (More)

- V. I. Ponomarenko, M. D. Prokhorov
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

We further develop the method proposed by Bezruchko et al. [Phys. Rev. E 64, 056216 (2001)] for the estimation of the parameters of time-delay systems from time series. Using this method weâ€¦ (More)

- M. D. Prokhorov, V. I. Ponomarenko, V. I. Gridnev, M B Bodrov, A. B. Bespyatov
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

For the cases of spontaneous respiration and paced respiration with a fixed frequency and linearly increasing frequency, we investigate synchronization between three main rhythmic processes governingâ€¦ (More)

- A. S. Karavaev, A. Kiselev, +6 authors V. A. Shvartz
- Human Physiology
- 2013

Functional interaction was studied between the subsystems that ensure autonomic control of the heart rate (HR) and blood pressure (BP) and give rise to 0.1-Hz oscillations in R-R intervals (RRI) andâ€¦ (More)

- B. P. Bezruchko, A. S. Karavaev, V. I. Ponomarenko, M. D. Prokhorov
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

We propose a method that allows one to estimate the parameters of model scalar time-delay differential equations from time series. The method is based on a statistical analysis of time intervalsâ€¦ (More)

- Maria Brazhnikova, Virginia Zbarsky, V. I. Ponomarenko, Natalia Potapova
- The Journal of antibiotics
- 1974

- Olga B. Isaeva, S. P. Kuznetsov, V. I. Ponomarenko
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

We suggest an approach to constructing physical systems with dynamical characteristics of the complex analytic iterative maps. The idea follows from a simple notion that the complex quadratic map byâ€¦ (More)

- M. D. Prokhorov, V. I. Ponomarenko
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2009

We propose a method for the reconstruction of time-delayed feedback systems from time series. The method is based on the analysis of the system response to a weak external disturbance having the formâ€¦ (More)

We discuss some problems, concerning the application of nonlinear dynamics methods and ideas to vacuum microwave electronics. We consider such phenomena as solitons, deterministic chaos and patternâ€¦ (More)