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Volumn 15, Issue 11, 2005, Pages 3547-3566

A phenomenological approach to normal form modeling: A case study in laser induced nematodynamics

Author keywords

Gluing bifurcation; Homoclinic orbits; Nematic liquid crystals; Normal form

Indexed keywords


EID: 32044459663     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127405014210     Document Type: Article
Times cited : (3)

References (43)
  • 2
    • 0000755418 scopus 로고
    • Possible new strange attractors with spiral structure
    • Arnéodo, A., Coullet, P. & Tresser, C. [1981a] "Possible new strange attractors with spiral structure," Commun. Math. Phys. 79, 573-579.
    • (1981) Commun. Math. Phys. , vol.79 , pp. 573-579
    • Arnéodo, A.1    Coullet, P.2    Tresser, C.3
  • 3
    • 0000694469 scopus 로고
    • A possible new mechanism for the onset of turbulence
    • Arnéodo, A., Coullet, P. & Tresser, C. [1981b] "A possible new mechanism for the onset of turbulence," Phys. Lett. A81, 197-201.
    • (1981) Phys. Lett. , vol.A81 , pp. 197-201
    • Arnéodo, A.1    Coullet, P.2    Tresser, C.3
  • 7
    • 0000213767 scopus 로고    scopus 로고
    • Multifractal structure and intermittency of laser-generated turbulence in nematic liquid crystals
    • Carbone, V., Cipparrone, G., Versace, C., Umeton, C. & Bartolino, R. [1996] "Multifractal structure and intermittency of laser-generated turbulence in nematic liquid crystals," Phys. Rev. E47, 6948-6951.
    • (1996) Phys. Rev. , vol.E47 , pp. 6948-6951
    • Carbone, V.1    Cipparrone, G.2    Versace, C.3    Umeton, C.4    Bartolino, R.5
  • 8
    • 0035334199 scopus 로고    scopus 로고
    • Homoclinic gluing bifurcations during the light induced reorientation in nematic-liquid-crystal films
    • Carbone, V., Cipparrone, G. & Russo, G. [2001] "Homoclinic gluing bifurcations during the light induced reorientation in nematic-liquid-crystal films," Phys. Rev. E63, 051701.
    • (2001) Phys. Rev. , vol.E63 , pp. 051701
    • Carbone, V.1    Cipparrone, G.2    Russo, G.3
  • 9
    • 0000929965 scopus 로고    scopus 로고
    • Lorenz bifurcation: Instabilities in quasireversible systems
    • Clerc, M., Coullet, P. & Tirapegui, E. [1999] "Lorenz bifurcation: Instabilities in quasireversible systems," Phys. Rev. Lett. 83, 3820-3823.
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 3820-3823
    • Clerc, M.1    Coullet, P.2    Tirapegui, E.3
  • 11
    • 0033875416 scopus 로고    scopus 로고
    • Polarimetric study of the optically induced dynamical behavior in nematic liquid crystal films
    • Cipparrone, G., Russo, G., Versace, C., Strangi, G. & Carbone, V. [2000] "Polarimetric study of the optically induced dynamical behavior in nematic liquid crystal films," Opt. Commun. 173, 1-10.
    • (2000) Opt. Commun. , vol.173 , pp. 1-10
    • Cipparrone, G.1    Russo, G.2    Versace, C.3    Strangi, G.4    Carbone, V.5
  • 12
    • 0001477835 scopus 로고
    • Transition to stochasticity for a class of forced oscillators
    • Coullet, P., Tresser, C. & Arneodo, A. [1979] "Transition to stochasticity for a class of forced oscillators," Phys. Lett. A72, 268-270.
    • (1979) Phys. Lett. , vol.A72 , pp. 268-270
    • Coullet, P.1    Tresser, C.2    Arneodo, A.3
  • 13
    • 0020807390 scopus 로고
    • Amplitude equations for systems with competing instabilities
    • Coullet, P. H. & Spiegel, E. A. [1983] "Amplitude equations for systems with competing instabilities," SIAM J. Appl. Math. 43, 776-821.
    • (1983) SIAM J. Appl. Math. , vol.43 , pp. 776-821
    • Coullet, P.H.1    Spiegel, E.A.2
  • 15
    • 17944396379 scopus 로고    scopus 로고
    • Transition to chaos via gluing bifurcations in optically excited nematic liquid crystals
    • Demeter, G. & Kramer, L. [1999] "Transition to chaos via gluing bifurcations in optically excited nematic liquid crystals," Phys. Rev. Lett. 83, 4744-4747.
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 4744-4747
    • Demeter, G.1    Kramer, L.2
  • 17
    • 0002232810 scopus 로고
    • A simple global characterization for normal forms of singular vector fields
    • Elphick, C., Tirapegui, E., Brachet, M. E., Coullet, P. H. & Iooss, G. [1987] "A simple global characterization for normal forms of singular vector fields," Physica D29, 95-127.
    • (1987) Physica , vol.D29 , pp. 95-127
    • Elphick, C.1    Tirapegui, E.2    Brachet, M.E.3    Coullet, P.H.4    Iooss, G.5
  • 19
    • 0040417306 scopus 로고
    • Regular and chaotic dynamics for some circle maps and maps on the interval
    • Gambaudo, J. M. & Tresser, C. [1985] "Regular and chaotic dynamics for some circle maps and maps on the interval," C. R. Acad. Sci. Paris Sr. I Math. 300, 311-313.
    • (1985) C. R. Acad. Sci. Paris Sr. I Math. , vol.300 , pp. 311-313
    • Gambaudo, J.M.1    Tresser, C.2
  • 20
    • 0000793023 scopus 로고
    • New universal scenarios for the onset of chaos in Lorenz-type flows
    • Gambaudo, J. M., Procaccia, I., Thomae, S. & Tresser, C. [1986] "New universal scenarios for the onset of chaos in Lorenz-type flows," Phys. Rev. Lett. 57, 925-928.
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 925-928
    • Gambaudo, J.M.1    Procaccia, I.2    Thomae, S.3    Tresser, C.4
  • 23
    • 0000917836 scopus 로고
    • The gluing bifurcation. I. Symbolic dynamics of the closed curves
    • Gambaudo, J. M., Glendinning, P. & Tresser, C. [1988] "The gluing bifurcation. I. Symbolic dynamics of the closed curves," Nonlinearity 1, 203-214.
    • (1988) Nonlinearity , vol.1 , pp. 203-214
    • Gambaudo, J.M.1    Glendinning, P.2    Tresser, C.3
  • 24
    • 51249177425 scopus 로고
    • On the dynamics of quasi-contractions
    • Gambaudo, J. M. & Tresser, C. [1988] "On the dynamics of quasi-contractions," Bol. Soc. Brasil. Mat. 19, 61-114.
    • (1988) Bol. Soc. Brasil. Mat. , vol.19 , pp. 61-114
    • Gambaudo, J.M.1    Tresser, C.2
  • 25
    • 84995270426 scopus 로고
    • A strange family of three-dimensional vector fields near a degenerate singularity
    • Holmes, P. [1980] "A strange family of three-dimensional vector fields near a degenerate singularity," J. Diff. Eqs. 37, 382-403.
    • (1980) J. Diff. Eqs. , vol.37 , pp. 382-403
    • Holmes, P.1
  • 26
    • 0001808521 scopus 로고
    • Anomalous perioddoubling bifurcations leading to chemical turbulence
    • Kuramoto, Y. & Koga, S. [1982] "Anomalous perioddoubling bifurcations leading to chemical turbulence," Phys. Lett. A92, 1-4.
    • (1982) Phys. Lett. , vol.A92 , pp. 1-4
    • Kuramoto, Y.1    Koga, S.2
  • 27
    • 0000241853 scopus 로고
    • Deterministic non-periodic flow
    • Lorenz, E. N. [1963] "Deterministic non-periodic flow," J. Atmos. Sci. 20, 130-141.
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 28
    • 54749095494 scopus 로고    scopus 로고
    • Asymptotic normal forms for equilibria with a triplet of zero characteristic exponents in systems with symmetry
    • Pisarevskii, V., Shilnikov, A. & Turaev, D. [1998] "Asymptotic normal forms for equilibria with a triplet of zero characteristic exponents in systems with symmetry," Reg. Chaotic Dyn. 3, 19-27.
    • (1998) Reg. Chaotic Dyn. , vol.3 , pp. 19-27
    • Pisarevskii, V.1    Shilnikov, A.2    Turaev, D.3
  • 29
    • 0000651439 scopus 로고
    • First-return maps as a unified renormalization scheme for dynamical systems
    • Procaccia, I., Thomae, S. & Tresser, C. [1987] "First-return maps as a unified renormalization scheme for dynamical systems," Phys. Rev. A35, 1884-1900.
    • (1987) Phys. Rev. , vol.A35 , pp. 1884-1900
    • Procaccia, I.1    Thomae, S.2    Tresser, C.3
  • 30
    • 0034293963 scopus 로고    scopus 로고
    • Non-linear dynamics optically induced in nematic liquid crystals
    • Russo, G., Carbone, V. & Cipparrone, G. [2000] "Non-linear dynamics optically induced in nematic liquid crystals," Phys. Rev. E62, 5036-5042.
    • (2000) Phys. Rev. , vol.E62 , pp. 5036-5042
    • Russo, G.1    Carbone, V.2    Cipparrone, G.3
  • 31
    • 0000670926 scopus 로고
    • Finite amplitude free convection as an initial value problem
    • Salzmann, B. [1962] "Finite amplitude free convection as an initial value problem," J. Atmos. Sci. 19, 329-341.
    • (1962) J. Atmos. Sci. , vol.19 , pp. 329-341
    • Salzmann, B.1
  • 32
    • 0002976944 scopus 로고    scopus 로고
    • Experimental study of the molecular reorientation induced by the ordinary wave in nematic liquid crystal film
    • Santamato, E., Maddalena, P., Marrucci, L. & Piccirillo, B. [1998] "Experimental study of the molecular reorientation induced by the ordinary wave in nematic liquid crystal film," Liq. Cryst. 25, 357-362.
    • (1998) Liq. Cryst. , vol.25 , pp. 357-362
    • Santamato, E.1    Maddalena, P.2    Marrucci, L.3    Piccirillo, B.4
  • 34
    • 0001234956 scopus 로고
    • A case of the existence of a countable number of periodic motions
    • Šil'nikov, L. P. [1965] "A case of the existence of a countable number of periodic motions," Sov. Math. Dokl. 6, 163-166.
    • (1965) Sov. Math. Dokl. , vol.6 , pp. 163-166
    • Šil'Nikov, L.P.1
  • 35
    • 0000436083 scopus 로고
    • Generation of a periodic motion from the trajectory going from the state of equilibrium of the saddle-saddle type into the same state
    • Šil'nikov, L. P. [1966] "Generation of a periodic motion from the trajectory going from the state of equilibrium of the saddle-saddle type into the same state," Sov. Math. Dokl. 7, 1155-1158.
    • (1966) Sov. Math. Dokl. , vol.7 , pp. 1155-1158
    • Šil'Nikov, L.P.1
  • 36
    • 0001215210 scopus 로고
    • On the generation of periodic motion from trajectories doubly asymptotic to an equilibrium state of saddle type
    • Šil'nikov, L. P. [1968] "On the generation of periodic motion from trajectories doubly asymptotic to an equilibrium state of saddle type," Sov. Math. Sbornik 6, 427-438.
    • (1968) Sov. Math. Sbornik , vol.6 , pp. 427-438
    • Šil'Nikov, L.P.1
  • 37
    • 84956230541 scopus 로고
    • A contribution to the problem of the structure of an extended neighborhood of a rough equilibrium state of saddle focus type
    • Šil'nikov, L. P. [1970] "A contribution to the problem of the structure of an extended neighborhood of a rough equilibrium state of saddle focus type," Sov. Math. Sbornik 10, 91-102.
    • (1970) Sov. Math. Sbornik , vol.10 , pp. 91-102
    • Šil'Nikov, L.P.1
  • 38
    • 0000568204 scopus 로고
    • On the composition and resolution of streams of polarized light from different sources
    • Stokes, G. G. [1852] "On the composition and resolution of streams of polarized light from different sources," Trans. Cambridge Philos. Soc. 9, 399-416.
    • (1852) Trans. Cambridge Philos. Soc. , vol.9 , pp. 399-416
    • Stokes, G.G.1
  • 41
    • 1442317471 scopus 로고
    • New kinds of transition to positive topological entropy
    • Tresser, C. [1983b] "New kinds of transition to positive topological entropy," C. R. Acad. Sci. Paris Sr. I Math. 296, 729-732.
    • (1983) C. R. Acad. Sci. Paris Sr. I Math. , vol.296 , pp. 729-732
    • Tresser, C.1
  • 42


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.