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  Frequency-truncation fast-slow analysis for parametrically and externally excited systems with two slow incommensurate excitation frequencies

Han, X., Liu, Y., Bi, Q., Kurths, J. (2019): Frequency-truncation fast-slow analysis for parametrically and externally excited systems with two slow incommensurate excitation frequencies. - Communications in Nonlinear Science and Numerical Simulation, 72, 16-25.
https://doi.org/10.1016/j.cnsns.2018.12.007

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 Creators:
Han, X.1, Author
Liu, Yang2, Author              
Bi, Q.1, Author
Kurths, Jürgen2, Author              
Affiliations:
1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, ou_persistent13              

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 Abstract: This paper aims to report an approximation method, the frequency-truncation fast-slow analysis, for analyzing fast-slow dynamics in parametrically and externally excited systems with two slow incommensurate excitation frequencies (PEESTSIEFs). We obtain truncated, commensurate excitation frequencies, which are approximations of the incommensurate excitation frequencies. Then, we show numerically that bursting behavior in PEESTSIEFs can be approximated in the same systems but with truncated, commensurate excitation frequencies, and therefore bursting dynamics in PEESTSIEFs can be understood by analyzing the same systems with truncated, commensurate excitation frequencies. Based on this, the approximation method for analyzing bursting dynamics in PEESTSIEFs is proposed. The validity of the approach is demonstrated by the Duffing and van der Pol systems, respectively.

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 Dates: 2019
 Publication Status: Finally published
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1016/j.cnsns.2018.12.007
PIKDOMAIN: RD4 - Complexity Science
eDoc: 8787
Organisational keyword: RD4 - Complexity Science
Working Group: Network- and machine-learning-based prediction of extreme events
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Title: Communications in Nonlinear Science and Numerical Simulation
Source Genre: Journal, SCI, Scopus, p3
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Pages: - Volume / Issue: 72 Sequence Number: - Start / End Page: 16 - 25 Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/201610061