Power spectra of the stochastically forced Duffing oscillator

Emily F. Stone

doi:10.1016/0375-9601(90)90495-A

Power spectra of the stochastically forced Duffing oscillator

Emily F. Stone

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

A comparative study of power spectra of the Duffing oscillator, driven in one case by noise and in another by periodic forcing, is presented. Via analysis and numerical experiment, it is shown that the form of the power spectral density of the stochastic system and the deterministic chaotic system are indistinguishable.

Original language	English
Pages (from-to)	434-442
Number of pages	9
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	148
Issue number	8-9
DOIs	https://doi.org/10.1016/0375-9601(90)90495-A
State	Published - Sep 3 1990

Funding

This research was supported by the United Kingdom Science and Engineering Research Council and the author would also like to thank Vivien Kirk and Rob Shaw for comments and useful conversation.

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10.1016/0375-9601(90)90495-A

Cite this

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title = "Power spectra of the stochastically forced Duffing oscillator",

abstract = "A comparative study of power spectra of the Duffing oscillator, driven in one case by noise and in another by periodic forcing, is presented. Via analysis and numerical experiment, it is shown that the form of the power spectral density of the stochastic system and the deterministic chaotic system are indistinguishable.",

author = "Stone, \{Emily F.\}",

note = "Funding Information: This research was supported by the United Kingdom Science and Engineering Research Council and the author would also like to thank Vivien Kirk and Rob Shaw for comments and useful conversation.",

year = "1990",

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doi = "10.1016/0375-9601(90)90495-A",

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T1 - Power spectra of the stochastically forced Duffing oscillator

AU - Stone, Emily F.

N1 - Funding Information: This research was supported by the United Kingdom Science and Engineering Research Council and the author would also like to thank Vivien Kirk and Rob Shaw for comments and useful conversation.

PY - 1990/9/3

Y1 - 1990/9/3

N2 - A comparative study of power spectra of the Duffing oscillator, driven in one case by noise and in another by periodic forcing, is presented. Via analysis and numerical experiment, it is shown that the form of the power spectral density of the stochastic system and the deterministic chaotic system are indistinguishable.

AB - A comparative study of power spectra of the Duffing oscillator, driven in one case by noise and in another by periodic forcing, is presented. Via analysis and numerical experiment, it is shown that the form of the power spectral density of the stochastic system and the deterministic chaotic system are indistinguishable.

UR - https://www.scopus.com/pages/publications/0004797509

U2 - 10.1016/0375-9601(90)90495-A

DO - 10.1016/0375-9601(90)90495-A

M3 - Article

AN - SCOPUS:0004797509

SN - 0375-9601

VL - 148

SP - 434

EP - 442

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 8-9

ER -

Power spectra of the stochastically forced Duffing oscillator

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