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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.26 No.3
- 발행연도
- 2016.1
- 수록면
- 385 - 400 (16page)
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초록· 키워드
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In this paper, we have considered Time-Frequency analysis (TFA) based on wavelets for the identification and classification of trajectories in a nonlinear dynamical model. Time-Frequency Analysis (TFA) is the relatively fast method. Ridge-plots (Time-frequency landscape) obtained from Time-Frequency Analysis (TFA) extracts instantaneous frequency from the phase of continuous wavelet transform (CWT). The nonlinear model considered in the analysis is the binary system of quasars hosted in the pair of interacting disk galaxies introduced recently. We have characterized the different type of trajectories like periodic, quasi-periodic, chaotic sticky, chaotic non-sticky, weakly and strongly chaotic. We have shown a comparative study between Time-Frequency Analysis (TFA) and a well-established method Lyapunov Characteristic Exponent (LCE). We have also presented the graphs explaining the phenomenon of transient chaos and resonance trapping.
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참고문헌 (29)
참고문헌 신청
C. Chandre / 2003 / Time-Frequency analysis of chaotic systems / Physica D 181:171~196
E. T. Copson / 1965 / Asymptotic expansions / Cambridge Univ. Press
N. Deplart / 1992 / Asymptotic wavelet and Gabor analysis, extraction of instantaneous frequency / IEEE Trans. On Information theory 38(2):644~664
Euaggelos E Zotos / 2012 / Order and chaos in three dimensional binary system of interacting galaxies / APJ 750:56
Beena R Gupta / 2015 / Time-frequency analysis of asymmetric triaxial galactic model including effect of spherical dark halo component / Int. J. Astron. and Astrophys 5:106~115
E. T. Copson / 1965 / Asymptotic expansions / Cambridge Univ. Press
N. Deplart / 1992 / Asymptotic wavelet and Gabor analysis, extraction of instantaneous frequency / IEEE Trans. On Information theory 38(2):644~664
Euaggelos E Zotos / 2012 / Order and chaos in three dimensional binary system of interacting galaxies / APJ 750:56
Beena R Gupta / 2015 / Time-frequency analysis of asymmetric triaxial galactic model including effect of spherical dark halo component / Int. J. Astron. and Astrophys 5:106~115
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