Wikipedia

Wikipedia:WikiProject Mathematics/PlanetMath Exchange/37-XX Dynamical systems and ergodic theory

< Wikipedia:WikiProject Mathematics | PlanetMath Exchange

This page provides a list of all articles available at PlanetMath in the following topic:

37-XX Dynamical systems and ergodic theory.

This list will be periodically updated. Each entry in the list has three fields:

  1. PM : The first field is the link to the PlanetMath article, along with the article's object ID.
  2. WP : The second field is either a "guessed" link to a correspondingly named Wikipedia article, produced by the script which generated the list, or one or more manually entered links to the corresponding Wikipedia articles on the subject.
  3. Status : The third field is the status field, which explains the current status of the entry. The recommended status entries are:
Status means PM article
N not needed
A adequately covered
C copied
M merged
NC needs copying
NM needs merging
  • Please update the WP and Status fields as appropriate.
  • if the WP field is correct please remove the qualifier "guess".
  • If the corresponding Wikipedia article exists, but the link to it is wrong, please fix the link.
  • If you copy or merge an article from PlanetMath, please update the WP and Status fields for that entry.
  • If you have any comments, for example, thoughts on how the PlanetMath article compares to the corresponding Wikipedia article(s), please place such comments on a new indented line following the entry. Comments of this kind are very valuable.

Don't forget to include the relevant template if you copy over text or feel like an external link is warranted

  • {{planetmath|id=|title=}} for copied over text
  • {{planetmath reference|id=|title=}} for an external link

See the main page for examples and usage criteria.

One can use the web-based program Pmform to convert PlanetMath articles to the Wikipedia format. As a side benefit, this tool will place the PlanetMath template for you.

37-00 General reference works (handbooks, dictionaries, bibliographies, etc.)

edit

37A05 Measure-preserving transformations

edit
linas 14:54, 6 June 2006 (UTC)[reply]
Its a proof, marking as "not needed". linas 14:54, 6 June 2006 (UTC)[reply]
Its a proof, marking as "not needed". linas 14:54, 6 June 2006 (UTC)[reply]

37A25 Ergodicity, mixing, rates of mixing

edit
linas 04:23, 5 September 2005 (UTC)[reply]

37A30 Ergodic theorems, spectral theory, Markov operators

edit
linas 23:26, 6 June 2006 (UTC)[reply]
linas 00:16, 7 June 2006 (UTC)[reply]
linas 18:56, 10 June 2006 (UTC)[reply]
linas 18:56, 10 June 2006 (UTC)[reply]
Its a proof,, not needed as per current policy. linas 00:30, 7 June 2006 (UTC)[reply]

37A35 Entropy and other invariants, isomorphism, classification

edit

37Axx Ergodic theory

edit

37B05 Transformations and group actions with special properties (minimality, distality, proximality, etc.)

edit
linas 00:20, 7 June 2006 (UTC)[reply]
linas 04:00, 7 June 2006 (UTC)[reply]

37B20 Notions of recurrence

edit
linas 00:28, 7 June 2006 (UTC)[reply]
linas 00:28, 7 June 2006 (UTC)[reply]

37B35 Gradient-like and recurrent behavior; isolated (locally-maximal) invariant sets

edit

37B40 Topological entropy

edit
linas 14:14, 7 June 2006 (UTC)[reply]

37B99 Miscellaneous

edit
linas 14:43, 9 June 2006 (UTC)[reply]
linas 15:40, 8 June 2006 (UTC)[reply]
linas 19:27, 10 June 2006 (UTC)[reply]
Its a proof, noew referenced in article on expansive. linas 19:27, 10 June 2006 (UTC)[reply]
linas 16:06, 10 June 2006 (UTC)[reply]
linas 14:57, 7 June 2006 (UTC)[reply]
linas 19:52, 10 June 2006 (UTC)[reply]

37Bxx Topological dynamics

edit

37C05 Smooth mappings and diffeomorphisms

edit

37C10 Vector fields, flows, ordinary differential equations

edit
linas 15:09, 5 September 2005 (UTC)[reply]
linas 17:15, 5 September 2005 (UTC)[reply]
PM article appears to have been retired/obsoleted (I get a permissions error on view). linas 20:22, 10 June 2006 (UTC)[reply]
linas 17:04, 5 September 2005 (UTC)[reply]

37C15 Topological and differentiable equivalence, conjugacy, invariants, moduli, classification

edit

37C20 Generic properties, structural stability

edit

37C25 Fixed points, periodic points, fixed-point index theory

edit
linas 01:04, 8 June 2006 (UTC)[reply]
Its a proof, which we don't copy into WP as a matter of current policy. linas 01:27, 8 June 2006 (UTC)[reply]

37C29 Homoclinic and heteroclinic orbits

edit
linas 14:54, 7 June 2006 (UTC)[reply]
linas 14:54, 7 June 2006 (UTC)[reply]
linas 14:54, 7 June 2006 (UTC)[reply]

37C50 Approximate trajectories (pseudotrajectories, shadowing, etc.)

edit
linas 20:19, 10 June 2006 (UTC)[reply]
linas 01:27, 8 June 2006 (UTC)[reply]

37C70 Attractors and repellers, topological structure

edit
linas 01:23, 8 June 2006 (UTC)[reply]

37C75 Stability theory

edit
linas 14:55, 7 June 2006 (UTC)[reply]
linas 14:55, 7 June 2006 (UTC)[reply]

37C80 Symmetries, equivariant dynamical systems

edit

37Cxx Smooth dynamical systems: general theory

edit

37D05 Hyperbolic orbits and sets

edit

37D10 Invariant manifold theory

edit

37D20 Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)

edit
Merged by Charles Matthews on 27 July 2005 linas 14:50, 5 September 2005 (UTC)[reply]
linas 00:37, 8 June 2006 (UTC)[reply]
linas 04:24, 11 September 2005 (UTC)[reply]

37D99 Miscellaneous

edit

37Dxx Dynamical systems with hyperbolic behavior

edit

37E05 Maps of the interval (piecewise continuous, continuous, smooth)

edit
linas 19:48, 7 June 2006 (UTC)[reply]

37E30 Homeomorphisms and diffeomorphisms of planes and surfaces

edit

37Exx Low-dimensional dynamical systems

edit

37G15 Bifurcations of limit cycles and periodic orbits

edit
linas 14:54, 5 September 2005 (UTC)[reply]
linas 04:08, 8 June 2006 (UTC)[reply]

37G40 Symmetries, equivariant bifurcation theory

edit
I don't think the PM article is good enough to copy. There are many trace formulas, this is a "minor" one; also, its only correct for the fundamental rep, I believe. So 'N for now. linas 03:09, 8 June 2006 (UTC)[reply]

37G99 Miscellaneous

edit
linas 00:39, 8 June 2006 (UTC)[reply]

37Gxx Local and nonlocal bifurcation theory

edit

37H20 Bifurcation theory

edit

37Hxx Random dynamical systems

edit
Retrieved from "https://en.wikipedia.org/w/index.php?title=Wikipedia:WikiProject_Mathematics/PlanetMath_Exchange/37-XX_Dynamical_systems_and_ergodic_theory&oldid=1138361505"