Stochastic resonance and related topics
Result description
The stochastic resonance (SR) is the phenomenon which can emerge in nonlinear dynamic systems. In general, it is related with a bistable nonlinear system of Duffing type under additive excitation combining deterministic periodic force and Gaussian white noise. It manifests as a stable quasiperiodic interwellhopping betweenboth stable stateswith a small random perturbation. Classical definition and basic features of SR are regarded. The most important methods of investigation outlined are: analytical, semi-analytical, and numerical procedures of governing physical systems or relevant Fokker-Planck equation. Stochastic simulation ismentioned and experimentalway of results verification is recommended. Some areas in Engineering Dynamics related with SR are presented together with a particular demonstration observed in the aeroelastic stability. Interaction of stationary and quasiperiodic parts of the response is discussed. Some nonconventional definitions are outlined concerning alternative operators and driving processes are highlighted. The chapter shows a large potential of specific basic, applied and industrial research in SR. This strategy enables to formulate new ideas for both development of nonconventional measures for vibration damping and employment of SR in branches, where it represents an operating mode of the systemitself. Weaknesses and empty areaswhere the research effort of SR should be oriented are indicated.
Keywords
stochastic resonancepost-critical processesdynamic stabilityFokker-Planck equationGalerkin approach
The result's identifiers
Result code in IS VaVaI
Result on the web
https://www.intechopen.com/books/resonance/stochastic-resonance-and-related-topics
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Stochastic resonance and related topics
Original language description
The stochastic resonance (SR) is the phenomenon which can emerge in nonlinear dynamic systems. In general, it is related with a bistable nonlinear system of Duffing type under additive excitation combining deterministic periodic force and Gaussian white noise. It manifests as a stable quasiperiodic interwellhopping betweenboth stable stateswith a small random perturbation. Classical definition and basic features of SR are regarded. The most important methods of investigation outlined are: analytical, semi-analytical, and numerical procedures of governing physical systems or relevant Fokker-Planck equation. Stochastic simulation ismentioned and experimentalway of results verification is recommended. Some areas in Engineering Dynamics related with SR are presented together with a particular demonstration observed in the aeroelastic stability. Interaction of stationary and quasiperiodic parts of the response is discussed. Some nonconventional definitions are outlined concerning alternative operators and driving processes are highlighted. The chapter shows a large potential of specific basic, applied and industrial research in SR. This strategy enables to formulate new ideas for both development of nonconventional measures for vibration damping and employment of SR in branches, where it represents an operating mode of the systemitself. Weaknesses and empty areaswhere the research effort of SR should be oriented are indicated.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
—
OECD FORD branch
20102 - Construction engineering, Municipal and structural engineering
Result continuities
Project
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Resonance
ISBN
978-953-51-3633-0
Number of pages of the result
34
Pages from-to
35-69
Number of pages of the book
252
Publisher name
InTech
Place of publication
London
UT code for WoS chapter
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Basic information
Result type
C - Chapter in a specialist book
OECD FORD
Construction engineering, Municipal and structural engineering
Year of implementation
2017