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

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

37-XX Dynamical systems and ergodic theory.

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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.
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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]

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