메뉴 건너뛰기




Volumn 101, Issue 3, 1998, Pages 233-266

Dissipative nonlinear evolution equations and chaos

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC NATURE; MODELING EQUATIONS; NONLINEAR EVOLUTION EQUATION; NONLINEAR INTERACTIONS; ROUTES TO CHAOS; THEORETICAL INVESTIGATIONS;

EID: 0039524971     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9590.00092     Document Type: Article
Times cited : (15)

References (22)
  • 1
    • 0000241853 scopus 로고
    • Deterministic non-periodic flows
    • E. N. LORENZ, Deterministic non-periodic flows, J. Atom. Sci. 20:130-141 (1963).
    • (1963) J. Atom. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 3
    • 0011029182 scopus 로고
    • On partial differential equations related to Lorenz system
    • D. Y. HSIEH, On partial differential equations related to Lorenz System, J. Math. Phys. 28:1589-1597 (1987).
    • (1987) J. Math. Phys. , vol.28 , pp. 1589-1597
    • Hsieh, D.Y.1
  • 4
    • 51649135425 scopus 로고
    • Elemental mechanisms of hydrodynamic instabilities
    • D. Y. HSIEH, Elemental mechanisms of hydrodynamic instabilities, Acta Mech. Sinica 10:193-202 (1994).
    • (1994) Acta Mech. Sinica , vol.10 , pp. 193-202
    • Hsieh, D.Y.1
  • 5
    • 0031210805 scopus 로고    scopus 로고
    • Phase transitions in Van der Waals fluid
    • D. Y. HSIEH, and X. P. WANG, Phase transitions in Van der Waals fluid, SIAM J. Appl. Math, 57:871-892 (1997).
    • (1997) SIAM J. Appl. Math , vol.57 , pp. 871-892
    • Hsieh, D.Y.1    Wang, X.P.2
  • 6
    • 0000482322 scopus 로고
    • Pattern selection and spatiotemporal transition to chaos in the Ginzberg-Landau equation
    • K. NOZAKI and N. BEKKI, Pattern selection and spatiotemporal transition to chaos in the Ginzberg-Landau equation, Phys. Ret. Lett. 51:2171-2174 (1983).
    • (1983) Phys. Ret. Lett. , vol.51 , pp. 2171-2174
    • Nozaki, K.1    Bekki, N.2
  • 7
    • 0022134240 scopus 로고
    • Dynamics of perturbed wavetrain solutions to the Ginzberg-Landau equation
    • L. R. KEEFE, Dynamics of perturbed wavetrain solutions to the Ginzberg-Landau equation, Stud. Appl. Math. 73:91-153 (1985).
    • (1985) Stud. Appl. Math. , vol.73 , pp. 91-153
    • Keefe, L.R.1
  • 8
    • 0000944744 scopus 로고
    • On the formation of dissipative structures in reaction-diffusion systems
    • Y. KURAMOTO and T. TSUZUKI, On the formation of dissipative structures in reaction-diffusion systems, Prog. Theoret. Phys. 54:687-699 (1975).
    • (1975) Prog. Theoret. Phys. , vol.54 , pp. 687-699
    • Kuramoto, Y.1    Tsuzuki, T.2
  • 9
    • 0017554878 scopus 로고
    • Nonlinear analysis of hydrodynamic instability in laminar flames. I. Derivation of basic equations
    • G. SIVASHINSKY, Nonlinear analysis of hydrodynamic instability in laminar flames. I. Derivation of basic equations, Acta Astronaut. 4:1177-1206 (1977).
    • (1977) Acta Astronaut. , vol.4 , pp. 1177-1206
    • Sivashinsky, G.1
  • 10
    • 84990666077 scopus 로고
    • Stability of the Kuramoto-Sivashinsky and other related systems
    • J. GOODMAN, Stability of the Kuramoto-Sivashinsky and other related systems, Comm. Pure Appl. Math. 47:293-306 (1994).
    • (1994) Comm. Pure Appl. Math. , vol.47 , pp. 293-306
    • Goodman, J.1
  • 11
    • 0000372241 scopus 로고
    • Traveling-waves of the Kuramoto-Sivashinsky equation: Period-multiplying bifurcations
    • P. KENT and J. ELGIN, Traveling-waves of the Kuramoto-Sivashinsky equation: Period-multiplying bifurcations, Nonlinearity 5:899-919 (1992).
    • (1992) Nonlinearity , vol.5 , pp. 899-919
    • Kent, P.1    Elgin, J.2
  • 12
    • 0001035921 scopus 로고
    • Some global dynamical properties of the Kuramoto-Sivashinsky equations: Nonlinear stability and attractors
    • B. NICOLAENKO, B. SCHEURER, and R. TEMAM, Some global dynamical properties of the Kuramoto-Sivashinsky equations: Nonlinear stability and attractors, Phys. D 16:155-183 (1985).
    • (1985) Phys. D , vol.16 , pp. 155-183
    • Nicolaenko, B.1    Scheurer, B.2    Temam, R.3
  • 13
    • 0000663221 scopus 로고
    • Two-period and quasi-periodical wave solution of the Kuramoto-Sivashinsky equation and their stability and bifurcations
    • Y. Y. TRIFONOV, Two-period and quasi-periodical wave solution of the Kuramoto-Sivashinsky equation and their stability and bifurcations, Phys. D 54:311-330 (1992).
    • (1992) Phys. D , vol.54 , pp. 311-330
    • Trifonov, Y.Y.1
  • 14
    • 33745542674 scopus 로고    scopus 로고
    • On hydrodynamic instability, chaos, and phase transition
    • D. Y. HSIEH, S. Q. TANG, and X. P. WANG, On hydrodynamic instability, chaos, and phase transition, Acta Mech. Sinica 12:1-14 (1996).
    • (1996) Acta Mech. Sinica , vol.12 , pp. 1-14
    • Hsieh, D.Y.1    Tang, S.Q.2    Wang, X.P.3
  • 15
    • 0040462109 scopus 로고    scopus 로고
    • Complexities arising from the study of a nonlinear evolution system with small dissipation
    • in press
    • X. P. WANG, S. Q. TANG, L. X. Wu, and D. Y. HSIEU, Complexities arising from the study of a nonlinear evolution system with small dissipation, Bull. HK Math. Soc., in press.
    • Bull. HK Math. Soc.
    • Wang, X.P.1    Tang, S.Q.2    Wu, L.X.3    Hsieu, D.Y.4
  • 16
    • 0003465259 scopus 로고
    • Ph.D. Thesis, Mathematics Department, the Hong Kong University of Science and Technology, Hong Kong
    • S. Q. TANG, Dissipative nonlinear evolution equations and chaos, Ph.D. Thesis, Mathematics Department, the Hong Kong University of Science and Technology, Hong Kong, 1995.
    • (1995) Dissipative Nonlinear Evolution Equations and Chaos
    • Tang, S.Q.1
  • 17
    • 33746695385 scopus 로고    scopus 로고
    • On the Cauchy problem for certain system of semilinear parabolic equation
    • H. Y. JIAN, On the Cauchy problem for certain system of semilinear parabolic equation, Acta Math Sinica, 14(1):27-34 (1998).
    • (1998) Acta Math Sinica , vol.14 , Issue.1 , pp. 27-34
    • Jian, H.Y.1
  • 18
    • 0017901962 scopus 로고
    • A numerical and theoretical study of certain nonlinear wave phenomena
    • B. FORNBERG and G. B. WITHAM, A numerical and theoretical study of certain nonlinear wave phenomena, Philos. Trans. Roy. Soc. London Ser. A 289(1361):373-404 (1978).
    • (1978) Philos. Trans. Roy. Soc. London Ser. A , vol.289 , Issue.1361 , pp. 373-404
    • Fornberg, B.1    Witham, G.B.2
  • 19
    • 85153214656 scopus 로고    scopus 로고
    • Private communication
    • Y. F. DENG, Private communication.
    • Deng, Y.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.