121 citations · 398 across the 21 of their papers we have counts for
21 papers
Coupled Schrödinger equations as a model of interchain excitation transport in the DNA
Margarita Kovaleva, Leonid Manevitch
In our report we consider two weakly coupled Schrödinger equations as a model of the interchain energy transport in the DNA double-helix. We use the reduction of the Yakushevich-ty…
Complex Envelope Variable Approximation in Nonlinear Dynamics
Valeri V. Smirnov, Leonid I. Manevitch
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…
Non-conventional phase attractors and repellers in weakly coupled autogenerators with hard excitation
Margarita Kovaleva, Leonid Manevitch, Valery Pilipchuk
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 autogenera…
Semi-inverse method in nonlinear mechanics: application to couple shell- and beam-type oscillations of single-walled carbon nanotubes
V. V. Smirnov, L. I. Manevitch
We demonstrate the application of the efficient semi-inverse asymptotic method to resonant interaction of the nonlinear normal modes belonging to different branches of the CNT vibr…
Limiting Phase Trajectories: a new paradigm for the study of highly non-stationary processes in Nonlinear Physics
Leonid Manevitch, Agnessa Kovaleva, Yuli Starosvetsky
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 a…
Non-stationary resonance dynamics of the harmonically forced pendulum
Leonid I. Manevitch, Valeri V. Smirnov, Francesco Romeo
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…