Zobrazeno 1 - 10
of 186
pro vyhledávání: '"Manevitch, Leonid"'
Autor:
Kovaleva, Margarita, Manevitch, Leonid
In our report we consider two weakly coupled Schr\"odinger equations as a model of the interchain energy transport in the DNA double-helix. We use the reduction of the Yakushevich-type model considering the torsional dynamics of the DNA. In the previ
Externí odkaz:
http://arxiv.org/abs/2012.04967
We present the Complex Envelope Variable Approximation (CEVA) as the very useful and compact method for the analysis of the essentially nonlinear dynamical systems. It allows us to study both the stationary and non-stationary dynamics even in the cas
Externí odkaz:
http://arxiv.org/abs/2004.08354
Publikováno v:
In Thin-Walled Structures September 2022 178
In our earlier studies, we found the effect of non-conventional synchronization, which is a specific type of nonlinear stable beating in the system of two weakly coupled autogenerators with hard excitation given by generalized van der Pol-Duffing cha
Externí odkaz:
http://arxiv.org/abs/1706.06857
This Report discusses a recently developed concept of Limiting Phase Trajectories (LPTs) providing a unified description of resonant energy transport in a wide range of classical and quantum dynamical systems with constant and time-varying parameters
Externí odkaz:
http://arxiv.org/abs/1605.09264
The stationary and highly non-stationary resonant dynamics of the harmonically forced pendulum are described in the framework of a semi-inverse procedure combined with the Limiting Phase Trajectory concept. This procedure, implying only existence of
Externí odkaz:
http://arxiv.org/abs/1604.06670
We present an analytical description of the large-amplitude stationary oscillations of the finite discrete system of harmonically-coupled pendulums without any restrictions to their amplitudes (excluding a vicinity of $\pi$). Although this model has
Externí odkaz:
http://arxiv.org/abs/1604.02406
Autor:
Manevitch, Leonid I., Romeo, Francesco
In this paper we fill the gap in understanding the non-stationary resonance dynamics of the weakly coupled pendula model, having significant applications in numerous fields of physics such as super- conducting Josephson junctions, Bose-Einstein conde
Externí odkaz:
http://arxiv.org/abs/1508.01148
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation May 2020 84
Publikováno v:
In International Journal of Non-Linear Mechanics April 2020 120