modelling solar cycle length based on poincaré maps for lorenz-type equations

Clicks: 6
ID: 215674
2010
Free PDF
Article Quality & Performance Metrics
Overall Quality
Not rated
Combines reader engagement with the AI quality analysis. This article has not been analysed, so there is no overall score — reader engagement is measured and shown alongside.
AI Quality Assessment
Not analyzed
Readership in this journal
Steady

Ranked #439 of 484 articles by views in journal of food measurement and characterization

Most read Least read

Bar heights use a square-root scale. Only the 120 most-read articles are drawn; the journal has 484 in total.

Mint this article as an NFT
Not yet minted

Create a permanent, verifiable on-chain record of this article on the Scimatic Network. The NFT is held in your Journament account, and you can withdraw it to your own wallet at any time.

5 SUSD one-off · no wallet required
Sign in to mint
Abstract
Two systems of Lorenz-type equations modelling solar magnetic activity are studied: Firstly a low order dynamic system in which the toroidal and poloidal fields are represented by x- and y-coordinates respectively, and the hydrodynamical information is given by the z coordinate. Secondly a complex generalization of the three ordinary differential equations studied by Lorenz. By studying the Poincaré map we give numerical evidence that the flow has an attractor with fractal structure. The period is defined as the time needed for a point on a hyperplane to return to the hyperplane again. The periods are distributed in an interval. For large values of the Dynamo number there is a long tail toward long periods and other interesting comet-like features. These general relations found for periods can further be physically interpreted with improved helioseismic estimates of the parameters used by the dynamical systems. Solar Dynamic Observatory is expected to offer such improved measurements.
Reference Key
lundstedt2010annalesmodelling Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;H. Lundstedt;T. Persson
Journal journal of food measurement and characterization
Year 2010
DOI
10.5194/angeo-28-993-2010
URL
https://www.ann-geophys.net/28/993/2010/angeo-28-993-2010.pdf
Keywords
cosmic physics sciencephysicsgeophysics

Citations

No citations found. To add a citation, contact the admin at info@scimatic.org

Comments

No comments yet. Be the first to comment on this article.