Results 41 to 50 of about 264,040 (183)
Advances in Condensed Matter Physics, 2014 We analyze the influence of a two-state autocorrelated noise on the decoherence and on the tunneling Landau-Zener (LZ) transitions during a two-level crossing of a central electron spin (CES) coupled to a one dimensional anisotropic-antiferomagnetic spin,
G. C. Fouokeng +5 more
doaj +1 more source
Dominated splitting, partial hyperbolicity and positive entropy
Discrete and Continuous Dynamical Systems, 2016 Let $f:M\rightarrow M$ be a $C^1$ diffeomorphism with a dominated splitting on a compact Riemanian manifold $M$ without boundary. We state and prove several sufficient conditions for the topological entropy of $f$ to be positive. The conditions deal with the dynamical behaviour of the (non-necessarily invariant) Lebesgue measure.
Catsigeras, Eleonora, Tian, Xueting
openaire +3 more sources
On the dynamics of dominated splitting [PDF]
Annals of Mathematics, 2009 Let f : M! M be a C 2 dieomorphism of a compact surface. We give a complete description of the dynamics of any compact invariant set having dominated splitting. In particular, we prove a Spectral Decomposition Theorem for the limit set L(f) under the assumption of dominated splitting.
Enrique Pujals, Martín Sambarino
openaire +1 more source
Chiral switching and dynamic barrier reductions in artificial square ice
New Journal of Physics, 2021 Collective dynamics in lithographically-defined artificial spin ices offer profound insights into emergent correlations and phase transitions of geometrically-frustrated Ising spin systems.
Naëmi Leo +12 more
doaj +1 more source
Dominated Pesin theory: convex sum of hyperbolic measures
, 2017 In the uniformly hyperbolic setting it is well known that the set of all measures supported on periodic orbits is dense in the convex space of all invariant measures.
Bochi, Jairo +2 more
core +3 more sources
Anderson Accelerated Operator Splitting Methods for Convex-Nonconvex Regularized Problems
IEEE Open Journal of Signal ProcessingConvex–nonconvex (CNC) regularization is a novel paradigm that employs a nonconvex penalty function while preserving the convexity of the overall objective function.
Qiang Heng, Xiaoqian Liu, Eric C. Chi
doaj +1 more source
Formula of Entropy along Unstable Foliations for $C^1$ Diffeomorphisms with Dominated Splitting
, 2017 Metric entropies along a hierarchy of unstable foliations are investigated for $C^1$ diffeomorphisms with dominated splitting. The analogues of Ruelle's inequality and Pesin's formula, which relate the metric entropy and Lyapunov exponents in each ...
Wang, Lin, Wang, Xinsheng, Zhu, Yujun
core +1 more source
Entropy-expansiveness for partially hyperbolic diffeomorphisms [PDF]
, 2011 We show that diffeomorphisms with a dominated splitting of the form $E^s\oplus E^c\oplus E^u$, where $E^c$ is a nonhyperbolic central bundle that splits in a dominated way into 1-dimensional subbundles, are entropy-expansive.
Diaz, Lorenzo J. +3 more
core
Partially Dominated Splittings
, 2014 We propose a weak form of domination, called partially dominated splitting and the main result is that there is a partially dominated splitting over a nonsingular compact invariant set for a flow if, and only if, the associated linear Poincare flow has a dominated ...
openaire +2 more sources
The Inverse Split and Non-split Domination in Graphs
International Journal of Computer Applications, 2010 paper, we define the notions of inverse split and non split domination in graphs. We get many bounds on inverse split and non split domination numbers. Nordhaus-Gaddum type results are also obtained for these new parameters.
K. Ameenal Bibi, R. Selvakumar
openaire +1 more source