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Volumn 133, Issue 1, 1997, Pages 27-42

Lyapunov exponents and localization in randomly layered media

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; CONTROL NONLINEARITIES; DYNAMICAL SYSTEMS; ISING MODEL; LYAPUNOV FUNCTIONS; LYAPUNOV METHODS; NUMERICAL METHODS; TRANSFER MATRIX METHOD; UNCERTAINTY ANALYSIS; WAVE PROPAGATION;

EID: 0031142304     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1997.5643     Document Type: Article
Times cited : (28)

References (33)
  • 3
    • 24244444170 scopus 로고
    • Absence of diffusion in certain random lattices
    • Anderson P. W. Absence of diffusion in certain random lattices. Phys. Rev. 109:1958;1492.
    • (1958) Phys. Rev. , vol.109 , pp. 1492
    • Anderson, P.W.1
  • 5
    • 0001227273 scopus 로고
    • Long wavelength anisotropy
    • Backus G. Long wavelength anisotropy. J. Geophys. Res. 67:1962;4427.
    • (1962) J. Geophys. Res. , vol.67 , pp. 4427
    • Backus, G.1
  • 8
    • 0000223905 scopus 로고    scopus 로고
    • On the computation of Lyapunov exponents for continuous dynamical systems
    • Dieci L., Russell R. D., Van Vleck E. S. On the computation of Lyapunov exponents for continuous dynamical systems. SIAM J. Numer. Anal. 34:1997;402.
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 402
    • Dieci, L.1    Russell, R.D.2    Van Vleck, E.S.3
  • 9
    • 0000288315 scopus 로고
    • Computation of a few Lyapunov exponents for continuous and discrete dynamical systems
    • Dieci L., Van Vleck E. S. Computation of a few Lyapunov exponents for continuous and discrete dynamical systems. Appl. Numer. Math. 17:1995;275.
    • (1995) Appl. Numer. Math. , vol.17 , pp. 275
    • Dieci, L.1    Van Vleck, E.S.2
  • 10
    • 36149015264 scopus 로고
    • The dynamics of a disordered linear chain
    • Dyson F. J. The dynamics of a disordered linear chain. Phys. Rev. 92:1952;1331.
    • (1952) Phys. Rev. , vol.92 , pp. 1331
    • Dyson, F.J.1
  • 11
    • 4244134179 scopus 로고
    • Transfer-matrix analysis for ising models
    • Fuchs N. Transfer-matrix analysis for ising models. Phys. Rev. B. 41:1990;2173.
    • (1990) Phys. Rev. B , vol.41 , pp. 2173
    • Fuchs, N.1
  • 13
    • 0000258013 scopus 로고
    • Dispersive body waves
    • Futterman W. I. Dispersive body waves. J. Geophys. Res. 67:1962;5279.
    • (1962) J. Geophys. Res. , vol.67 , pp. 5279
    • Futterman, W.I.1
  • 15
    • 0000471425 scopus 로고
    • Comparison of different methods for computing Lyapunov exponents
    • Geist K., Parlitz U., Lauterborn W. Comparison of different methods for computing Lyapunov exponents. Prog. Theor. Phys. 83:1990;875.
    • (1990) Prog. Theor. Phys. , vol.83 , pp. 875
    • Geist, K.1    Parlitz, U.2    Lauterborn, W.3
  • 16
    • 0002835770 scopus 로고
    • Localization of eigenstates and transport phenomena in the one-dimensional disordered system
    • Ishii K. Localization of eigenstates and transport phenomena in the one-dimensional disordered system. Supp. Prog. Theor. Phys. 53:1973;77.
    • (1973) Supp. Prog. Theor. Phys. , vol.53 , pp. 77
    • Ishii, K.1
  • 17
    • 0000532658 scopus 로고
    • Localization problem in one dimension: Mapping and escape
    • Kohmoto M., Kadanoff L., Tang C. Localization problem in one dimension: Mapping and escape. Phys. Rev. Lett. 50:1983;1870.
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 1870
    • Kohmoto, M.1    Kadanoff, L.2    Tang, C.3
  • 18
    • 0001366191 scopus 로고
    • Localization: Theory and experiment
    • Kramer B., MacKinnon A. Localization: Theory and experiment. Rep. Prog. Phys. 56:1993;1469.
    • (1993) Rep. Prog. Phys. , vol.56 , pp. 1469
    • Kramer, B.1    MacKinnon, A.2
  • 19
    • 0039519536 scopus 로고
    • Optical behaviour of non-ideal crystal lattices in the infra-red. I
    • Lifshitz I. M. Optical behaviour of non-ideal crystal lattices in the infra-red. I. J. Phys. 7:1943;215.
    • (1943) J. Phys. , vol.7 , pp. 215
    • Lifshitz, I.M.1
  • 20
    • 46449135166 scopus 로고
    • Optical behaviour of non-ideal crystal lattices in the infra-red. II
    • Lifshitz I. M. Optical behaviour of non-ideal crystal lattices in the infra-red. II. J. Phys. 7:1944;249.
    • (1944) J. Phys. , vol.7 , pp. 249
    • Lifshitz, I.M.1
  • 21
    • 0038926944 scopus 로고
    • Optical behaviour of non-ideal crystal lattices in the infra-red. III
    • Lifshitz I. M. Optical behaviour of non-ideal crystal lattices in the infra-red. III. J. Phys. 8:1943;89.
    • (1943) J. Phys. , vol.8 , pp. 89
    • Lifshitz, I.M.1
  • 22
    • 46149129318 scopus 로고
    • Localization of light: The quest for the white hole
    • Lagendijk A., Van Albada M., Van Der Mark M. Localization of light: The quest for the white hole. Physica A. 140:1986;183.
    • (1986) Physica A , vol.140 , pp. 183
    • Lagendijk, A.1    Van Albada, M.2    Van Der Mark, M.3
  • 23
    • 0031532146 scopus 로고    scopus 로고
    • Orthosymplectic integration of linear Hamiltonian systems
    • Leimkuhler B. J., Van Vleck E. S. Orthosymplectic integration of linear Hamiltonian systems. Numer. Math. 1997.
    • (1997) Numer. Math.
    • Leimkuhler, B.J.1    Van Vleck, E.S.2
  • 24
    • 0004094248 scopus 로고
    • Problém géneral de la stabilité du mouvement
    • Lyapunov A. Problém géneral de la stabilité du mouvement. Ann. Math. Stud. 17:1949.
    • (1949) Ann. Math. Stud. , vol.17
    • Lyapunov, A.1
  • 25
    • 0004163930 scopus 로고
    • San Diego: Academic Press
    • Mehta M. Random Matrices. 1991;Academic Press, San Diego.
    • (1991) Random Matrices
    • Mehta, M.1
  • 26
    • 0000543733 scopus 로고
    • A multiplicative erogic theorem. Lyapunov characteristic numbers for dynamical systems
    • Oseledec V. I. A multiplicative erogic theorem. Lyapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc. 19:1968;197.
    • (1968) Trans. Moscow Math. Soc. , vol.19 , pp. 197
    • Oseledec, V.I.1
  • 29
    • 36149004665 scopus 로고
    • Disordered one-dimensional crystals
    • Schmidt H. Disordered one-dimensional crystals. Phys. Rev. 105:1957;425.
    • (1957) Phys. Rev. , vol.105 , pp. 425
    • Schmidt, H.1
  • 30
    • 35949016155 scopus 로고
    • Minimum wave-localization length in a one-dimensional random medium
    • Sheng P., Zhang Z.-Q., White B., Papanicolaou G. Minimum wave-localization length in a one-dimensional random medium. Phys. Rev. B. 34:1986;4757.
    • (1986) Phys. Rev. B , vol.34 , pp. 4757
    • Sheng, P.1    Zhang, Z.-Q.2    White, B.3    Papanicolaou, G.4
  • 31
    • 4243472808 scopus 로고
    • Multiple scattering noise in one dimension: Universality through localization length scaling
    • Sheng P., Zhang Z.-Q., White B., Papanicolaou G. Multiple scattering noise in one dimension: Universality through localization length scaling. Phys. Rev. Lett. 57:1986;1000.
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 1000
    • Sheng, P.1    Zhang, Z.-Q.2    White, B.3    Papanicolaou, G.4
  • 32
    • 0000570736 scopus 로고
    • On the products of random matrices and operators
    • Virster A. D. On the products of random matrices and operators. Theor. Prob. Appl. 24:1979;367.
    • (1979) Theor. Prob. Appl. , vol.24 , pp. 367
    • Virster, A.D.1
  • 33
    • 0025660798 scopus 로고
    • Localization and backscattering spectrum of seismic waves in stratified lithology
    • White B., Sheng P., Nair B. Localization and backscattering spectrum of seismic waves in stratified lithology. Geophysics. 55:1990;1158.
    • (1990) Geophysics , vol.55 , pp. 1158
    • White, B.1    Sheng, P.2    Nair, B.3


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