메뉴 건너뛰기




Volumn 229, Issue 2, 2007, Pages 166-183

Computing absolute and essential spectra using continuation

Author keywords

Absolute spectrum; Continuation; Instability thresholds; Reaction diffusion systems; Spectral stability

Indexed keywords

DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; SOFTWARE PACKAGES; SPECTRUM ANALYSIS;

EID: 34248583204     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2007.03.016     Document Type: Article
Times cited : (116)

References (20)
  • 2
    • 34248574103 scopus 로고    scopus 로고
    • E. Crampin, Reaction-diffusion patterns on growing domains. Ph.D. Thesis, University of Oxford, 2000
  • 3
    • 12044252828 scopus 로고
    • Pattern formation outside of equilibrium
    • Cross M.C., and Hohenberg P.C. Pattern formation outside of equilibrium. Rev. Modern Phys. 65 (1993) 851-1112
    • (1993) Rev. Modern Phys. , vol.65 , pp. 851-1112
    • Cross, M.C.1    Hohenberg, P.C.2
  • 4
    • 34248596293 scopus 로고    scopus 로고
    • E. Doedel, R.C. Paffenroth, A.R. Champneys, T.F. Fairgrieve, Y.A. Kuznetsov, B.E. Oldeman, B. Sandstede, X. Wang, auto2000: Continuation and bifurcation software for ordinary differential equations (with homcont), Technical Report, Concordia University, 2002
  • 5
    • 0001307276 scopus 로고
    • On the structure of the spectra of periodic travelling waves
    • Gardner R.A. On the structure of the spectra of periodic travelling waves. J. Math. Pures Appl. 72 (1993) 415-439
    • (1993) J. Math. Pures Appl. , vol.72 , pp. 415-439
    • Gardner, R.A.1
  • 6
    • 0003304963 scopus 로고
    • Geometric theory of semilinear parabolic equations
    • Springer, Berlin
    • Henry D. Geometric theory of semilinear parabolic equations. Lecture Notes in Mathematics vol. 840 (1981), Springer, Berlin
    • (1981) Lecture Notes in Mathematics , vol.840
    • Henry, D.1
  • 7
    • 34248598069 scopus 로고    scopus 로고
    • M. Heroux, R. Bartlett, V. Howle, R. Hoekstra, J. Hu, T. Kolda, R. Lehoucq, K. Long, R. Pawlowski, E. Phipps, A. Salinger, H. Thornquist, R. Tuminaro, J. Willenbring, A. Williams, An overview of Trilinos, Technical Report SAND2003-2952, Sandia National Laboratories, 2003
  • 8
    • 67649370945 scopus 로고    scopus 로고
    • The Ginzburg-Landau equation in its role as a modulation equation
    • Fiedler B. (Ed), Elsevier
    • Mielke A. The Ginzburg-Landau equation in its role as a modulation equation. In: Fiedler B. (Ed). Handbook of Dynamical Systems II (2002), Elsevier 759-834
    • (2002) Handbook of Dynamical Systems II , pp. 759-834
    • Mielke, A.1
  • 9
    • 34248551234 scopus 로고    scopus 로고
    • J.D.M. Rademacher, Homoclinic bifurcation from heteroclinic cycles with periodic orbits and tracefiring of pulses, Ph.D. Thesis, University of Minnesota, 2004
  • 10
    • 34248594331 scopus 로고    scopus 로고
    • Geometric relations of absolute and essential spectra of wave trains
    • Rademacher J.D.M. Geometric relations of absolute and essential spectra of wave trains. SIAM J. Appl. Dyn. Syst. 5 (2006) 634-649
    • (2006) SIAM J. Appl. Dyn. Syst. , vol.5 , pp. 634-649
    • Rademacher, J.D.M.1
  • 11
    • 33751097709 scopus 로고    scopus 로고
    • Viscous shocks in the destabilized Kuramoto-Sivashinsky equation
    • Rademacher J.D.M., and Wittenberg R.W. Viscous shocks in the destabilized Kuramoto-Sivashinsky equation. J. Comput. Nonlinear Dyn. 1 (2006) 336-347
    • (2006) J. Comput. Nonlinear Dyn. , vol.1 , pp. 336-347
    • Rademacher, J.D.M.1    Wittenberg, R.W.2
  • 12
    • 0034506295 scopus 로고    scopus 로고
    • Absolute versus convective instability of spiral waves
    • Sandstede B., and Scheel A. Absolute versus convective instability of spiral waves. Phys. Rev. E 62 (2000) 7708-7714
    • (2000) Phys. Rev. E , vol.62 , pp. 7708-7714
    • Sandstede, B.1    Scheel, A.2
  • 13
    • 0346686985 scopus 로고    scopus 로고
    • Absolute and convective instabilities of waves on unbounded and large bounded domains
    • Sandstede B., and Scheel A. Absolute and convective instabilities of waves on unbounded and large bounded domains. Physica D 145 (2000) 233-277
    • (2000) Physica D , vol.145 , pp. 233-277
    • Sandstede, B.1    Scheel, A.2
  • 14
    • 0002480015 scopus 로고    scopus 로고
    • On the structure of spectra of modulated travelling waves
    • Sandstede B., and Scheel A. On the structure of spectra of modulated travelling waves. Math. Nachr. 232 (2001) 39-93
    • (2001) Math. Nachr. , vol.232 , pp. 39-93
    • Sandstede, B.1    Scheel, A.2
  • 15
    • 0034258264 scopus 로고    scopus 로고
    • Gluing unstable fronts and backs together can produce stable pulses
    • Sandstede B., and Scheel A. Gluing unstable fronts and backs together can produce stable pulses. Nonlinearity 13 (2000) 1465-1482
    • (2000) Nonlinearity , vol.13 , pp. 1465-1482
    • Sandstede, B.1    Scheel, A.2
  • 16
    • 0039938860 scopus 로고
    • 2-perturbations of periodic equilibria of reaction-diffusion systems
    • 2-perturbations of periodic equilibria of reaction-diffusion systems. Nonlinear Differ. Equ. Appl. 1 (1994) 281-311
    • (1994) Nonlinear Differ. Equ. Appl. , vol.1 , pp. 281-311
    • Scarpellini, B.1
  • 17
    • 29144457299 scopus 로고    scopus 로고
    • Numerical aspects of searching convective/absolute instability transition
    • Suslov S.A. Numerical aspects of searching convective/absolute instability transition. J. Comput. Phys. 212 (2006) 188-217
    • (2006) J. Comput. Phys. , vol.212 , pp. 188-217
    • Suslov, S.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.