136
Views
22
CrossRef citations to date
0
Altmetric
Original Articles

On the shape and dimension of the Lorenz attractor

&
Pages 255-268 | Published online: 10 Feb 2011

References

  • Jackson , E.A . 1990 . Perspectives of Nonlinear Dynamics , Cambridge : Cambridge University Press .
  • Bartuccelli , M.V , Constantin , P , Doering , C.R , Gibbon , J.D and Gisselfalt , M . 1990 . On the possibility of soft and hard turbulence in the complex Ginzburg-Landau equation . Physica D , 30 : 284 – 296 .
  • Constantin , P and Foias , C . 1985 . Global Lyapunov exponents, Kaplan-Yorke formulas and the dimension of the attractors for 2d Navier-Stokes equations . Communications in Pure and Applied Mathematics , 38 : 1 – 27 .
  • Constantin , P , Foias , C and Temam , R . 1988 . On the dimension of the attractors in two-dimensional turbulence . Physica D , 4 : 421 – 444 .
  • Doering , C.R and Gibbon , J.D . 1995 . Applied Analysis of the Navier-Stokes Equations , Cambridge : Cambridge University Press .
  • Eden , A , Foias , C and Temam , R . 1991 . Local and global Lyapunov exponents . Journal of Dynamics and Differential Equations , 3 : 133 – 177 .
  • Farmer , J.D , Ott , E and Yorke , J . 1983 . The dimension of chaotic attractors . Physica , 7D : 153 – 180 .
  • Kaplan , j , Yorke , J and Lorenz , E.N . 1963 . Deterministic nonperiodic flow . Journal of Atmospheric Science , 20 : 130 – 141 .
  • Lorenz , E.N , M , Grmela and J.E , Marsden . 1979 . On the Prevalence of Aperiodicity in Simple Systems Vol. 755 , Springer , New York Lecture Notes in Mathematics
  • Lorenz , E.N . 1994 . The Essence of Chaos , London : UCL Press .
  • Sparrow , C . 1982 . The Lorenz Equations:Bifurcations, Chaos and Strange Attractors Vol. 41 , Springer , Berlin Springer Series in Applied Mathematics
  • Temam , R . 1988 . Infinite Dimensional Dynamical Systems in Mechanics and Physics Vol. 68 , Springer , New York Applied Mathematical Sciences
  • Treve , Y . 1979 . “ Boxing in the Lorenz attractor ” . Unpublished .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.