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Homoclinic tangencies and dominated splittings

Nonlinearity, 2002
Summary: We characterize diffeomorphisms that are \(C^1\) away from homoclinic tangencies by using dominated splittings on the \(C^1\) preperiodic sets. More precisely, we prove that a diffeomorphism \(f\) cannot be \(C^1\) approximated by systems with homoclinic tangencies if and only if for all \(1\leq i\leq d-1\), the \(C^1\) \(i\)-preperiodic set \(
openaire   +2 more sources

Adapted Metrics for Dominated splittings.

Ergodic Theory and Dynamical Systems, 2007
A Riemannian metric is adapted to an hyperbolic set of a diffeomorphism if, for this metric, the expansion/contraction of the unstable/stable directions can be seen after only one iteration. A dominated splitting is a notion of weak hyperbolicity where the tangent bundle of the manifold splits in invariant subbundles such that the vector expansion on ...
openaire   +3 more sources

Neighborhood outer split domination in graphs

Journal of Discrete Mathematical Sciences and Cryptography, 2019
AbstractA neighborhood outer split dominating set (nosd-set) in a graph G is a dominating set S with the property that the sub graph induced by the open neighborhood of the set S is disconnected.
K. Suriya Prabha   +3 more
openaire   +1 more source

Integrability on codimension one dominated splitting

Bulletin of the Brazilian Mathematical Society, New Series, 2007
We study the unique integrability of the center unstable subbundle of a codimension one dominated splitting.
Enrique R. Pujals*, Martin Sambarino
openaire   +1 more source

Split domination of some special graph

AIP Conference Proceedings, 2022
K. Suja, K. Vishwanathan
openaire   +1 more source

Some Results on Accurate Split Domination And Accurate Non-Split Domination of Some Special Graphs

International Journal of Mathematics Trends and Technology, 2020
Aswini T   +2 more
openaire   +1 more source

Split aptamer acquisition mechanisms and current application in antibiotics detection: a short review

Critical Reviews in Food Science and Nutrition, 2023
Imran Mahmood Khan   +2 more
exaly  

Single-cell profiling of the developing mouse brain and spinal cord with split-pool barcoding

Science, 2018
Alexander B Rosenberg   +2 more
exaly  

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