are said to be topologically conjugate if there exists a homeomorphism that will conjugate the one into the other. Topological conjugacy, and related-but-distinct...
10 KB (1,473 words) - 05:01, 27 June 2024
precisely the number of conjugacy classes. Topological conjugacy – Concept in topology FC-group – Group in group theory mathematics Conjugacy-closed subgroup...
17 KB (2,956 words) - 19:24, 30 April 2024
In mathematics and physics, solitons, topological solitons and topological defects are three closely related ideas, all of which signify structures in...
22 KB (2,864 words) - 15:16, 19 June 2024
maps, and for fixed points of flows or maps on manifolds. A mere topological conjugacy does not provide geometric information about the behavior near the...
12 KB (1,522 words) - 18:01, 22 October 2024
{\displaystyle f^{(n)}(x)=a^{2^{n}-1}(x-c)^{2^{n}}+c} as the solution. See Topological conjugacy for more detail about the relationship between f and g. And see...
16 KB (2,880 words) - 19:32, 11 October 2024
entropy and topological entropy). Poincaré–Bendixson theorem Symbolic dynamics Topological conjugacy D. V. Anosov (2001) [1994], "Topological dynamics"...
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relation – Generalization of equivalence classes to scheme theory Topological conjugacy – Concept in topology Up to – Mathematical statement of uniqueness...
31 KB (4,436 words) - 19:07, 29 October 2024
continuous. Topological entropy is an invariant of topological dynamical systems, meaning that it is preserved by topological conjugacy. Let f {\displaystyle...
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Iterated function (section Conjugacy)
g = h−1 ○ f ○ h , then f and g are said to be topologically conjugate. Clearly, topological conjugacy is preserved under iteration, as gn = h−1 ○ f...
38 KB (4,356 words) - 11:57, 28 June 2024
Mixing Poincaré section Recurrence plot SRB measure Stable manifold Topological conjugacy Theorems Ergodic theorem Liouville's theorem Krylov–Bogolyubov theorem...
37 KB (4,443 words) - 14:44, 26 August 2024