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Pseudotrajectories generated by a discretization of a parabolic equation. / Eirola, Timo; Pilyugin, Sergei Yu.

In: Journal of Dynamics and Differential Equations, Vol. 8, No. 2, 1996, p. 281-297.

Research output: Contribution to journal › Article › peer-review

Harvard

Eirola, T & Pilyugin, SY 1996, 'Pseudotrajectories generated by a discretization of a parabolic equation', Journal of Dynamics and Differential Equations, vol. 8, no. 2, pp. 281-297. https://doi.org/10.1007/BF02218893

APA

Eirola, T., & Pilyugin, S. Y. (1996). Pseudotrajectories generated by a discretization of a parabolic equation. Journal of Dynamics and Differential Equations, 8(2), 281-297. https://doi.org/10.1007/BF02218893

Vancouver

Eirola T, Pilyugin SY. Pseudotrajectories generated by a discretization of a parabolic equation. Journal of Dynamics and Differential Equations. 1996;8(2):281-297. https://doi.org/10.1007/BF02218893

Author

Eirola, Timo ; Pilyugin, Sergei Yu. / Pseudotrajectories generated by a discretization of a parabolic equation. In: Journal of Dynamics and Differential Equations. 1996 ; Vol. 8, No. 2. pp. 281-297.

BibTeX

@article{b2a858c87fa84084918be03a766a728b,
title = "Pseudotrajectories generated by a discretization of a parabolic equation",
abstract = "A semiimplicit discretization of a parabolic equation is considered. The resulting diffeomorphism is shown to be generically Morse-Smale. Uniform bounds for the dimension of its attractor are given and numerical trajectories- including round-off errors-are shown to approximate the attractor.",
keywords = "Attractors, Parabolic equations, Pseudotrajectories",
author = "Timo Eirola and Pilyugin, {Sergei Yu}",
year = "1996",
doi = "10.1007/BF02218893",
language = "English",
volume = "8",
pages = "281--297",
journal = "Journal of Dynamics and Differential Equations",
issn = "1040-7294",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Pseudotrajectories generated by a discretization of a parabolic equation

AU - Eirola, Timo

AU - Pilyugin, Sergei Yu

PY - 1996

Y1 - 1996

N2 - A semiimplicit discretization of a parabolic equation is considered. The resulting diffeomorphism is shown to be generically Morse-Smale. Uniform bounds for the dimension of its attractor are given and numerical trajectories- including round-off errors-are shown to approximate the attractor.

AB - A semiimplicit discretization of a parabolic equation is considered. The resulting diffeomorphism is shown to be generically Morse-Smale. Uniform bounds for the dimension of its attractor are given and numerical trajectories- including round-off errors-are shown to approximate the attractor.

KW - Attractors

KW - Parabolic equations

KW - Pseudotrajectories

UR - http://www.scopus.com/inward/record.url?scp=0040760978&partnerID=8YFLogxK

U2 - 10.1007/BF02218893

DO - 10.1007/BF02218893

M3 - Article

AN - SCOPUS:0040760978

VL - 8

SP - 281

EP - 297

JO - Journal of Dynamics and Differential Equations

JF - Journal of Dynamics and Differential Equations

SN - 1040-7294

IS - 2

ER -

ID: 92249496