22 citations · 29 across the 5 of their papers we have counts for
5 papers
Energy localization and transfer in autoresonant weakly dissipative anharmonic chains
Agnessa Kovaleva
In this work, we develop an analytical framework to explain the influence of dissipation and detuning parameters on the emergence and stability of autoresonance in a strongly nonli…
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…
Resonance energy transport in an oscillator chain
Agnessa Kovaleva
We investigate energy transfer and localization in a linear time-invariant oscillator chain weakly coupled to a forced nonlinear actuator. Two types of perturbation are studied: (1…
Autoresonance energy transfer versus localization in weakly coupled oscillators
Agnessa Kovaleva, Leonid Manevitch
In this paper we investigate the distribution of energy between weakly coupled linear and nonlinear oscillators in a two-degree-of-freedom (2D) system. Two classes of problems are…
Nonlinear energy transfer in classical and quantum systems
Leonid Manevitch, Agnessa Kovaleva
We investigate the effect of slowly-varying parameter on the energy transfer in a system of weakly coupled nonlinear oscillators, with special attention to a mathematical analogy b…