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Volumn 11, Issue 6, 1998, Pages 93-99

The effects of generalized dispersion on dissipative dynamical systems

Author keywords

Dispersion; Global attractors; Kuramoto Sivashinsky

Indexed keywords


EID: 0012604539     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(98)00109-8     Document Type: Article
Times cited : (10)

References (13)
  • 2
    • 0006608457 scopus 로고
    • Nonlinear interfacial stability of core annular film flow
    • D.T. Papageorgiou, C. Maldarelli and R.S. Rumschitzki, Nonlinear interfacial stability of core annular film flow, Phys. Fluids A 2 (3), 340-352, (1990).
    • (1990) Phys. Fluids A , vol.2 , Issue.3 , pp. 340-352
    • Papageorgiou, D.T.1    Maldarelli, C.2    Rumschitzki, R.S.3
  • 3
    • 0000603325 scopus 로고
    • The Kuramoto-Sivashinsky equations, a bridge between PDEs and dynamical systems
    • J.M. Hyman and B. Nicolaenko, The Kuramoto-Sivashinsky equations, a bridge between PDEs and dynamical systems, Physica D 18, 113-126, (1986).
    • (1986) Physica D , vol.18 , pp. 113-126
    • Hyman, J.M.1    Nicolaenko, B.2
  • 4
    • 0026325935 scopus 로고
    • Predicting chaos for infinite dimensional dynamical systems: The Kuramoto-Sivashinsky equation, a case study
    • Y.S. Smyrlis and D.T. Papageorgiou, Predicting chaos for infinite dimensional dynamical systems: The Kuramoto-Sivashinsky equation, a case study, Proc. Nat. Acad. Sci. U.S.A. 88 (24), 11129-11132, (1991).
    • (1991) Proc. Nat. Acad. Sci. U.S.A. , vol.88 , Issue.24 , pp. 11129-11132
    • Smyrlis, Y.S.1    Papageorgiou, D.T.2
  • 5
    • 0041872965 scopus 로고    scopus 로고
    • Computational study of chaotic and ordered solutions of the Kuramoto-Sivashinsky equation
    • D.T. Papageorgiou and Y.S. Smyrlis, Computational study of chaotic and ordered solutions of the Kuramoto-Sivashinsky equation, ICASE Report No. 96-12, (1996).
    • (1996) ICASE Report , vol.96 , Issue.12
    • Papageorgiou, D.T.1    Smyrlis, Y.S.2
  • 7
    • 21144482383 scopus 로고
    • A global attracting set for the Kuramoto Sivashinsky equation
    • P. Collet, J.-P. Eckmann, H. Epstein and J. Stubbe, A global attracting set for the Kuramoto Sivashinsky equation, Commun. Math. Phys. 152, 203-214, (1993).
    • (1993) Commun. Math. Phys. , vol.152 , pp. 203-214
    • Collet, P.1    Eckmann, J.-P.2    Epstein, H.3    Stubbe, J.4
  • 8
    • 0001152487 scopus 로고
    • Global analysis of the phase portrait for the Kuramoto-Sivashinsky equation
    • J.S. Il'yashenko, Global analysis of the phase portrait for the Kuramoto-Sivashinsky equation, J. Dyn. Diff. Equations 4 (4), 585-615, (1992).
    • (1992) J. Dyn. Diff. Equations , vol.4 , Issue.4 , pp. 585-615
    • Il'yashenko, J.S.1
  • 9
    • 84990666077 scopus 로고
    • Stability of the Kuramoto-Sivashinsky equation and related systems
    • J. Goodman, Stability of the Kuramoto-Sivashinsky equation and related systems, Comm. Pure Appl. Math. XLVII, 293-306, (1994).
    • (1994) Comm. Pure Appl. Math. , vol.47 , pp. 293-306
    • Goodman, J.1
  • 11
  • 12
    • 0001140910 scopus 로고
    • Stability of periodic waves governed by the modified Kawahara equation
    • D.E. Bar and A.A. Nepomnyashchy, Stability of periodic waves governed by the modified Kawahara equation, Physica D 86, 586-602, (1995).
    • (1995) Physica D , vol.86 , pp. 586-602
    • Bar, D.E.1    Nepomnyashchy, A.A.2
  • 13
    • 0001110650 scopus 로고    scopus 로고
    • Nonlinear wave-number selection in gradient-flow systems
    • H.-C. Chang, E.A. Demekhin, D.I. Kopelevich and Y. Ye, Nonlinear wave-number selection in gradient-flow systems, Phys. Rev. E 55 (3), 2818-2834, (1997).
    • (1997) Phys. Rev. E , vol.55 , Issue.3 , pp. 2818-2834
    • Chang, H.-C.1    Demekhin, E.A.2    Kopelevich, D.I.3    Ye, Y.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.