[图书][B] Oscillators and Oscillatory Signals from Smooth to Discontinuous: Geometrical, Algebraic, and Physical Nature

VN Pilipchuk - 2023 - books.google.com
Nonlinear Dynamics represents a wide interdisciplinary area of research dealing with a
variety of “unusual” physical phenomena by means of nonlinear differential equations …

Stationary and non-stationary oscillatory dynamics of the parametric pendulum

M Kovaleva, L Manevitch, F Romeo - Communications in Nonlinear …, 2019 - Elsevier
The nonlinear dynamics of a parametrically excited pendulum is addressed. The proposed
analytical approach aims at describing the pendulum dynamics beyond the simplified …

Extreme nonlinear energy exchanges in a geometrically nonlinear lattice oscillating in the plane

Z Zhang, LI Manevitch, V Smirnov, LA Bergman… - Journal of the …, 2018 - Elsevier
We study the in-plane damped oscillations of a finite lattice of particles coupled by linear
springs under distributed harmonic excitation. Strong nonlinearity in this system is generated …

Invariants of nonlinearity in the phononic characteristics of granular chains

R Ganesh, S Gonella - Physical Review E, 2014 - APS
In this work, we analyze the phononic characteristics of wave motion in precompressed
monoatomic and diatomic granular chains, with emphasis on the evolving spatial features of …

Resonance energy transport and exchange in oscillator arrays

A Kovaleva, LI Manevitch - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
It is well known that complete energy transfer between two weakly coupled linear oscillators
occurs only at resonance. If the oscillators are nonlinear, the amplitude dependence of their …

Singular Trajectories of Forced Vibrations

VN Pilipchuk - Oscillators and Oscillatory Signals from Smooth to …, 2023 - Springer
As shown earlier by Zhuravlev, harmonically loaded linear conservative systems possess an
alternative physically reasonable basis, which is generally different from that associated with …

Periodic Power Series

VN Pilipchuk - Oscillators and Oscillatory Signals from Smooth to …, 2023 - Springer
In this chapter, we introduce polynomials and power series expansions with respect to the
triangular sinewave. These can be used for approximations of periodic signals and unknown …

Unidirectional energy transport in the symmetric system of non-linearly coupled oscillators and oscillatory chains

G Yacobi, V Kislovsky, M Kovaleva, Y Starosvetsky - Nonlinear Dynamics, 2019 - Springer
In the present paper, we study the fundamental mechanism of unidirectional energy
transport in the symmetric, weakly dissipative system of two coupled nonlinear oscillators …

Nonstationary energy localization vs conventional stationary localization in weakly coupled nonlinear oscillators

LI Manevitch, A Kovaleva, G Sigalov - Regular and Chaotic Dynamics, 2016 - Springer
In this paper we study the effect of nonstationary energy localization in a nonlinear
conservative resonant system of two weakly coupled oscillators. This effect is alternative to …

К проблеме использования упругой энергии породного массива в качестве возобновляемого источника энергии

МВ РЫЛЬНИКОВА, ЛИ МАНЕВИЧ… - Физико-технические …, 2015 - elibrary.ru
Исследованы режимы и параметры горных работ для создания условий передачи
кинетической энергии, формируемой в ходе реализации геотехнологических …