By Moshe Gitterman
This e-book includes entire descriptions of stochastic methods defined by means of underdamped and overdamped oscillator equations with additive and multiplicative random forcing. The latter is linked to random frequency or random damping. The insurance comprises descriptions of assorted new phenomena found within the final hundred years because the clarification of Brownian movement by way of Einstein, Smoluchovski and Langevin, similar to the shift of strong issues, noise-enhanced balance, stochastic resonance, resonant activation, and stabilization of metastable states. as well as many purposes in physics, chemistry, biology, drugs, economics and sociology, those discoveries have clarified the deep courting among determinism and stochasticity, which seems to be complimentary instead of contradictory, with noise taking part in either positive and harmful roles.
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This publication includes finished descriptions of stochastic techniques defined through underdamped and overdamped oscillator equations with additive and multiplicative random forcing. The latter is linked to random frequency or random damping. The insurance comprises descriptions of assorted new phenomena chanced on within the final hundred years because the clarification of Brownian movement by means of Einstein, Smoluchovski and Langevin, akin to the shift of reliable issues, noise-enhanced balance, stochastic resonance, resonant activation, and stabilization of metastable states.
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Extra resources for The noisy oscillator: the first 100 years, from Einstein until now
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