ASYMPTOTIC ANALYSIS OF MATHEMATICAL EXPECTATION OF THE TOTAL ENERGY OF A HARMONIC OSCILLATOR PERTURBED BY THE'SHOT-NOISE'-TYPE PROCESS

O.D. Stetsyuk

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ASYMPTOTIC ANALYSIS OF MATHEMATICAL EXPECTATION OF THE TOTAL ENERGY OF A HARMONIC OSCILLATOR PERTURBED BY THE'SHOT-NOISE'-TYPE PROCESS

机译：“噪声”型过程扰动的谐振子总能量的数学期望的渐近分析

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摘要

We study the behavior, as t → ∞, of the mathematical expectation of the total energy of a harmonic oscillator without friction perturbed by the "shot noise"-type process.

机译：我们研究了在没有摩擦的情况下，由“散粒噪声”类型的过程引起的谐波振荡器的总能量的数学期望，即t→∞的行为。

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《Journal of Mathematical Sciences》 |2014年第3期|396-408|共13页
作者
O.D. Stetsyuk;
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Shevchenko Kyiv National University, Kyiv, Ukraine, 01033, Kyiv, 64 Volodymyrs'ka Str.;

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1. Spectral asymptotics of the harmonic oscillator perturbed by bounded potentials [J] . Klein M, Korotyaev E, Pokrovski A Annales Henri Poincare . 2005,第4期

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2. ASYMPTOTICS OF SPECTRAL DATA OF A HARMONIC OSCILLATOR PERTURBED BY A POTENTIAL [J] . D. S. Chelkak Journal of Mathematical Sciences . 2005,第4期

机译：可能扰动的谐振子的谱数据的渐近性。
3. Asymptotic Inverse Problem for Almost-Periodically Perturbed Quantum Harmonic Oscillator [J] . Alexis Pokrovski Mathematical Physics, Analysis and Geometry . 2007,第3期

机译：几乎周期摄动的量子谐振子的渐近逆问题
4. Shot-Noise Analysis in Circuits with Large Signal Excitations using Harmonic Balance Simulators [C] . Tempel, Mike, Boeck, . 2006

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5. On orbital stability of synchronous solutions of some singularly perturbed dynamical systems of relaxation-type oscillators with excitatory coupling. [D] . Marchenko, Vadim V. 2001

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6. High resolution ultrastructural mapping of total calcium: electron spectroscopic imaging/electron energy loss spectroscopy analysis of a physically/chemically processed nerve-muscle preparation. [O] . F Grohovaz, M Bossi, R Pezzati, 1996

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7. High energy asymptotics and trace formulas for the perturbed harmonic oscillator [O] . Pushnitski, A, Sorrell, I 2006

机译：扰动谐振子的高能渐近性和迹线公式

ASYMPTOTIC ANALYSIS OF MATHEMATICAL EXPECTATION OF THE TOTAL ENERGY OF A HARMONIC OSCILLATOR PERTURBED BY THE'SHOT-NOISE'-TYPE PROCESS

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