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Decomposition of strong nonlinear oscillations via modified continuous wavelet transform. / Postnikov, E. B.; Lebedeva, E. A.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 82, No. 5, 057201, 09.11.2010.

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

Harvard

Postnikov, EB & Lebedeva, EA 2010, 'Decomposition of strong nonlinear oscillations via modified continuous wavelet transform', Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 82, no. 5, 057201. https://doi.org/10.1103/PhysRevE.82.057201

APA

Postnikov, E. B., & Lebedeva, E. A. (2010). Decomposition of strong nonlinear oscillations via modified continuous wavelet transform. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 82(5), [057201]. https://doi.org/10.1103/PhysRevE.82.057201

Vancouver

Postnikov EB, Lebedeva EA. Decomposition of strong nonlinear oscillations via modified continuous wavelet transform. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2010 Nov 9;82(5). 057201. https://doi.org/10.1103/PhysRevE.82.057201

Author

Postnikov, E. B. ; Lebedeva, E. A. / Decomposition of strong nonlinear oscillations via modified continuous wavelet transform. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2010 ; Vol. 82, No. 5.

BibTeX

@article{a7a6a6f6dda645c293565d93986cf583,
title = "Decomposition of strong nonlinear oscillations via modified continuous wavelet transform",
abstract = "We propose the modification of the complex wavelet transform adapted for an analysis of strong nonlinear oscillations with a shape far from sinusoidal. It is based on the rotation of transform modulus obtained via usage of the Morlet wavelet in such a way that higher harmonics are merged with a main one. The method is illustrated by application to the analysis of regular and chaotic oscillations generated by the R{\"o}ssler system.",
author = "Postnikov, {E. B.} and Lebedeva, {E. A.}",
year = "2010",
month = nov,
day = "9",
doi = "10.1103/PhysRevE.82.057201",
language = "English",
volume = "82",
journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",
issn = "1539-3755",
publisher = "American Physical Society",
number = "5",

}

RIS

TY - JOUR

T1 - Decomposition of strong nonlinear oscillations via modified continuous wavelet transform

AU - Postnikov, E. B.

AU - Lebedeva, E. A.

PY - 2010/11/9

Y1 - 2010/11/9

N2 - We propose the modification of the complex wavelet transform adapted for an analysis of strong nonlinear oscillations with a shape far from sinusoidal. It is based on the rotation of transform modulus obtained via usage of the Morlet wavelet in such a way that higher harmonics are merged with a main one. The method is illustrated by application to the analysis of regular and chaotic oscillations generated by the Rössler system.

AB - We propose the modification of the complex wavelet transform adapted for an analysis of strong nonlinear oscillations with a shape far from sinusoidal. It is based on the rotation of transform modulus obtained via usage of the Morlet wavelet in such a way that higher harmonics are merged with a main one. The method is illustrated by application to the analysis of regular and chaotic oscillations generated by the Rössler system.

UR - http://www.scopus.com/inward/record.url?scp=78651367352&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.82.057201

DO - 10.1103/PhysRevE.82.057201

M3 - Article

AN - SCOPUS:78651367352

VL - 82

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 5

M1 - 057201

ER -

ID: 99401422