86 citations · 106 across the 9 of their papers we have counts for
9 papers
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…
Global search for localised modes in scalar and vector nonlinear Schrödinger-type equations
G. L. Alfimov, I. V. Barashenkov, A. P. Fedotov +2
We present a new approach for search of coexisting classes of localised modes admitted by the repulsive (defocusing) scalar or vector nonlinear Schrödinger-type equations. The appr…
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…
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…
Stationary Large Amplitude Dynamics of the Finite Chain of Harmonically Coupled Pendulums
Valeri V. Smirnov, Leonid I. Manevitch
We present an analytical description of the large-amplitude stationary oscillations of the finite discrete system of harmonically-coupled pendulums without any restrictions to thei…
The radial breathing mode in CNT - the nonlinear theory of the resonant energy exchange
V. V. Smirnov, L. I. Manevitch, M. Strozzi +1
We demonstrate the new specific phenomenon of the long-time resonant energy exchange in the carbon nanotubes (CNTs) with the radial breathing mode as a carrier. This process turns…