574 citations
- Russian Academy of SciencesRU65 papers
- St Petersburg UniversityRU47 papers
- Peter the Great St. Petersburg Polytechnic UniversityRU42 papers
- Herzen UniversityRU24 papers
- ITMO UniversityRU19 papers
- Kazan Federal UniversityRU17 papers
- N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of SciencesRU11 papers
- University of GroningenNL11 papers
- University of JyväskyläFI11 papers
- Louisiana State UniversityUS10 papers
- Delft University of TechnologyNL9 papers
- Politecnico di TorinoIT9 papers
252 papers
Eigenvalue falls in thin broken quantum strips
Lucas Chesnel, Sergei A. Nazarov
We are interested in the spectrum of the Dirichlet Laplacian in thin broken strips with angle . Playing with symmetries, this leads us to investigate spectral problems for the L…
Anti-localization of non-stationary quasi-waves in a strongly nonlinear -FPUT chain
Serge N. Gavrilov, Ekaterina V. Shishkina, Bogdan S. Borisenkov
Recently, a new general wave phenomenon, namely "the anti-localization of non-stationary linear waves", has been introduced and discussed (Shishkina et al., J. Sound. Vib. 553, 202…
Energy transport in a free Euler-Bernoulli beam in terms of Schrödinger's wave function
Serge N. Gavrilov, Anton M. Krivtsov, Ekaterina V. Shishkina
The Schrödinger equation is not frequently used in the framework of the classical mechanics, though historically this equation was derived as a simplified equation, which is equiva…
A note on the generalised Hessian of the least squares associated with systems of linear inequalities
M. V. Dolgopolik
The goal of this note is to point out an erroneous formula for the generalised Hessian of the least squares associated with a system of linear inequalities, that was given in the p…
Universal formal asymptotics for localized oscillation of a discrete mass-spring-damper system of time-varying properties, embedded into a one-dimensional medium described by the telegraph equation with variable coefficients
Serge N. Gavrilov, Ilya O. Poroshin, Ekaterina V. Shishkina +1
We consider a quite general problem concerning a linear free oscillation of a discrete mass-spring-damper system. This discrete sub-system is embedded into a one-dimensional contin…
Energy control in a quantum oscillator using coherent control and engineered environment
Alexander N. Pechen, Sergey Borisenok, Alexander L. Fradkov
We develop and analyze a new method for manipulation of energy in a quantum harmonic oscillator using coherent, e.g., electromagnetic, field and incoherent control. Coherent contro…