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Volumn 181, Issue 3-4, 2003, Pages 171-196

Time-frequency analysis of chaotic systems

Author keywords

Hamiltonian systems; Time frequency analysis; Wavelets

Indexed keywords

CHAOS THEORY; HAMILTONIANS; MICROWAVES; RESONANCE; WAVELET TRANSFORMS;

EID: 0038112233     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(03)00117-9     Document Type: Article
Times cited : (143)

References (28)
  • 1
    • 0000442881 scopus 로고
    • Local frequency analysis of chaotic motion in multidimensional systems: Energy transport and bottlenecks in planar OCS
    • Martens C.C., Davis M.J., Ezra G.S. Local frequency analysis of chaotic motion in multidimensional systems: energy transport and bottlenecks in planar OCS. Chem. Phys. Lett. 142:1987;519-528.
    • (1987) Chem. Phys. Lett. , vol.142 , pp. 519-528
    • Martens, C.C.1    Davis, M.J.2    Ezra, G.S.3
  • 2
    • 0038190363 scopus 로고    scopus 로고
    • Mapping multidimensional intramolecular dynamics using frequency analysis
    • D.L. Thompson (Ed.), World Scientific, Singapore
    • J. von Milczewski, T. Uzer, Mapping multidimensional intramolecular dynamics using frequency analysis, in: D.L. Thompson (Ed.), Modern Methods for Multidimensional Dynamics Computations in Chemistry, World Scientific, Singapore, 1998, pp. 190-200.
    • (1998) Modern Methods for Multidimensional Dynamics Computations in Chemistry , pp. 190-200
    • Von Milczewski, J.1    Uzer, T.2
  • 3
    • 33750108107 scopus 로고
    • The chaotic behavior of the solar system: A numerical estimate of the chaotic zones
    • Laskar J. The chaotic behavior of the solar system: a numerical estimate of the chaotic zones. Icarus. 88:1990;266-291.
    • (1990) Icarus , vol.88 , pp. 266-291
    • Laskar, J.1
  • 4
    • 0001174857 scopus 로고    scopus 로고
    • Introduction to frequency map analysis
    • C. Simó (Ed.), Hamiltonian Systems with Three or More Degrees of Freedom, Kluwer Academic Publishers, Dordrecht
    • J. Laskar, Introduction to frequency map analysis, in: C. Simó (Ed.), Hamiltonian Systems with Three or More Degrees of Freedom, NATO ASI Series, Kluwer Academic Publishers, Dordrecht, 1999, pp. 134-150.
    • (1999) NATO ASI Series , pp. 134-150
    • Laskar, J.1
  • 5
    • 0035859019 scopus 로고    scopus 로고
    • The four final rotation states of Venus
    • Correia A., Laskar J. The four final rotation states of Venus. Nature. 411:2001;767-770.
    • (2001) Nature , vol.411 , pp. 767-770
    • Correia, A.1    Laskar, J.2
  • 6
    • 0034225586 scopus 로고    scopus 로고
    • Global dynamics of the advanced light source revealed through experimental frequency map analysis
    • Robin D., Steier C., Laskar J., Nadolski L. Global dynamics of the advanced light source revealed through experimental frequency map analysis. Phys. Rev. Lett. 85:2000;558-561.
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 558-561
    • Robin, D.1    Steier, C.2    Laskar, J.3    Nadolski, L.4
  • 7
    • 43949162797 scopus 로고
    • Frequency analysis for multi-dimensional systems. Global dynamics and diffusion
    • Laskar J. Frequency analysis for multi-dimensional systems. Global dynamics and diffusion. Physica D. 67:1993;257.
    • (1993) Physica D , vol.67 , pp. 257
    • Laskar, J.1
  • 8
    • 0001667690 scopus 로고
    • Wavelet analysis of time series for the Duffing oscillator: The detection of order within chaos
    • Permann D., Hamilton I. Wavelet analysis of time series for the Duffing oscillator: the detection of order within chaos. Phys. Rev. Lett. 69:1992;2607-2610.
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 2607-2610
    • Permann, D.1    Hamilton, I.2
  • 9
    • 0000091160 scopus 로고    scopus 로고
    • On the cross wavelet analysis of Duffing oscillator
    • Kyprianou A., Staszewski W.J. On the cross wavelet analysis of Duffing oscillator. J. Sound Vib. 228:1999;199-210.
    • (1999) J. Sound Vib. , vol.228 , pp. 199-210
    • Kyprianou, A.1    Staszewski, W.J.2
  • 10
    • 0000896538 scopus 로고
    • Wavelet analysis of time series for the weakly forced and weakly damped Morse oscillator
    • Permann D., Hamilton I. Wavelet analysis of time series for the weakly forced and weakly damped Morse oscillator. J. Chem. Phys. 100:1994;379-386.
    • (1994) J. Chem. Phys. , vol.100 , pp. 379-386
    • Permann, D.1    Hamilton, I.2
  • 12
    • 0038529097 scopus 로고    scopus 로고
    • Wavelet analysis of the asteroidal resonant motion
    • Michtchenko T.A., Nesvorny D. Wavelet analysis of the asteroidal resonant motion. Astron. Astrophys. 313:1996;674-678.
    • (1996) Astron. Astrophys. , vol.313 , pp. 674-678
    • Michtchenko, T.A.1    Nesvorny, D.2
  • 13
    • 0001577286 scopus 로고    scopus 로고
    • Wavelet transform for the analysis of molecular dynamics
    • Askar A., Cetin A.E., Rabitz H. Wavelet transform for the analysis of molecular dynamics. J. Phys. Chem. 100:1996;19165.
    • (1996) J. Phys. Chem. , vol.100 , pp. 19165
    • Askar, A.1    Cetin, A.E.2    Rabitz, H.3
  • 14
    • 0035324896 scopus 로고    scopus 로고
    • Time-frequency analysis of classical trajectories of polyatomic molecules
    • Vela-Arevalo L.V., Wiggins S. Time-frequency analysis of classical trajectories of polyatomic molecules. Int. J. Bifurcat. Chaos. 11:2001;1359-1380.
    • (2001) Int. J. Bifurcat. Chaos , vol.11 , pp. 1359-1380
    • Vela-Arevalo, L.V.1    Wiggins, S.2
  • 18
    • 0030128269 scopus 로고    scopus 로고
    • Wavelets and time-frequency analysis
    • Hess-Nielsen N., Wickerhauser M.V. Wavelets and time-frequency analysis. Proc. IEEE. 84:1996;523-540.
    • (1996) Proc. IEEE , vol.84 , pp. 523-540
    • Hess-Nielsen, N.1    Wickerhauser, M.V.2
  • 19
    • 0038529103 scopus 로고    scopus 로고
    • http://www-stat.stanford.edu/wavelab.
  • 21
    • 0001058891 scopus 로고    scopus 로고
    • Coherent states in a Rydberg atom: Classical mechanics
    • Lee E., Brunello A.F., Farrelly D. Coherent states in a Rydberg atom: classical mechanics. Phys. Rev. A. 55:1997;2203-2221.
    • (1997) Phys. Rev. A , vol.55 , pp. 2203-2221
    • Lee, E.1    Brunello, A.F.2    Farrelly, D.3
  • 22
    • 0036577358 scopus 로고    scopus 로고
    • Thresholds to chaos and ionization for the hydrogen atom in rotating fields
    • Chandre C., Farelly D., Uzer T. Thresholds to chaos and ionization for the hydrogen atom in rotating fields. Phys. Rev. A. 65:2002;053402.
    • (2002) Phys. Rev. A , vol.65 , pp. 053402
    • Chandre, C.1    Farelly, D.2    Uzer, T.3
  • 23
    • 0009326929 scopus 로고
    • Chaos in atomic and molecular physics
    • M.J. Giannoni, A. Voros, J. Zinn-Justin (Eds.), Les Houches, Session LII, Elsevier, Amsterdam
    • D. Delande, Chaos in atomic and molecular physics, in: M.J. Giannoni, A. Voros, J. Zinn-Justin (Eds.), Chaos and Quantum Physics, Les Houches, Session LII, 1989, Elsevier, Amsterdam, 1991, pp. 665-726.
    • (1989) Chaos and Quantum Physics , pp. 665-726
    • Delande, D.1
  • 24
    • 34247189093 scopus 로고
    • The measure of chaos by numerical analysis of the fundamental frequencies application to the standard mapping
    • Laskar J., Froeschlé C., Celletti A. The measure of chaos by numerical analysis of the fundamental frequencies application to the standard mapping. Physica D. 56:1992;253-269.
    • (1992) Physica D , vol.56 , pp. 253-269
    • Laskar, J.1    Froeschlé, C.2    Celletti, A.3
  • 25
    • 0012097571 scopus 로고
    • A universal instability of many-dimensional oscillator systems
    • Chirikov B.V. A universal instability of many-dimensional oscillator systems. Phys. Rep. 52:1979;263-379.
    • (1979) Phys. Rep. , vol.52 , pp. 263-379
    • Chirikov, B.V.1
  • 26
    • 0032633235 scopus 로고    scopus 로고
    • Ionization of hydrogen atom in elliptically polarized microwave field
    • Oks E., Uzer T. Ionization of hydrogen atom in elliptically polarized microwave field. J. Phys. B. 32:1999;3601-3613.
    • (1999) J. Phys. B , vol.32 , pp. 3601-3613
    • Oks, E.1    Uzer, T.2
  • 27
    • 0037852659 scopus 로고    scopus 로고
    • Resonant, elliptical-polarization control of microwave ionization of hydrogen atom
    • Bellermann M.R.W., Koch P.M., Richards D. Resonant, elliptical-polarization control of microwave ionization of hydrogen atom. Phys. Rev. Lett. 78:1997;3840-3843.
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 3840-3843
    • Bellermann, M.R.W.1    Koch, P.M.2    Richards, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.