Results 71 to 80 of about 423,443 (325)
Kissing number in hyperbolic space
, 2019 This paper provides upper and lower bounds on the kissing number of congruent radius $r > 0$ spheres in $\mathbb{H}^n$, for $n\geq 2$. For that purpose, the kissing number is replaced by the kissing function $ (n, r)$ which depends on the radius $r$.
Dostert, Maria, Kolpakov, Alexander
openaire +2 more sources
Horseshoes for $\mathcal{C}^{1+α}$ mappings with hyperbolic measures [PDF]
, 2014 We present here a construction of horseshoes for any $\mathcal{C}^{1+\alpha}$ mapping $f$ preserving an ergodic hyperbolic measure $\mu$ with $h_{\mu}(f)>0$ and then deduce that the exponential growth rate of the number of periodic points for any $\mathcal{C}^{1+\alpha}$ mapping $f$ is greater than or equal to $h_{\mu}(f)$.
arxiv +1 more source
On the hyperbolicity locus of a real curve [PDF]
Funct Anal Its Appl 52, 151-153 (2018), 2017 Given a real algebraic curve in the projective 3-space, its hyperbolicity locus is the set of lines with respect to which the curve is hyperbolic. We give an example of a smooth irreducible curve whose hyperbolicity locus is disconnected but the connected components are not distinguished by the linking numbers with the connected components of the curve.
arxiv +1 more source
International Journal of Adaptive Control and Signal Processing, EarlyView.Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez +2 more
wiley +1 more source
Hyperbolic periodic points for chain hyperbolic homoclinic classes [PDF]
arXiv, 2015 In this paper we establish a closing property and a hyperbolic closing property for thin trapped chain hyperbolic homoclinic classes with one dimensional center in partial hyperbolicity setting. Taking advantage of theses properties, we prove that the growth rate of the number of hyperbolic periodic points is equal to the topological entropy.
arxiv
On ideal vertices of right-angled hyperbolic polyhedra [PDF]
arXiv, 2023 In this note, we improve Nikulin's inequality in the case of right-angled hyperbolic polyhedra. The new inequality allows to give much shorter proofs of the known dimension bounds. We also improve Nonaka's lower bound on the number of ideal vertices for right-angled hyperbolic polyhedra.
arxiv
Advanced Engineering Materials, EarlyView.Using novel probe‐based metrics, this study evaluates lattice structures on criteria critical to cellular solid optimization. Triply‐periodic minimal surface (TPMS) lattices outperform other lattices, offering more predictable mechanical behavior in complex design spaces and, as a result, higher performance in optimized models.
Firas Breish +2 more
wiley +1 more source
On dual hyperbolic generalized Fibonacci numbers
Indian Journal of Pure and Applied Mathematics, 2019 In this paper, we introduce the generalized dual hyperbolic Fibonacci numbers. As special cases, we deal with dual hyperbolic Fibonacci and dual hyperbolic Lucas numbers. We present Binet's formulas, generating functions and the summation formulas for these numbers. Moreover, we give Catalan's, Cassini's, d'Ocagne's, Gelin-Cesàro's, Melham's
openaire +3 more sources
Systoles and kissing numbers of finite area hyperbolic surfaces [PDF]
Algebraic & Geometric Topology, 2015 We study the number and the length of systoles on complete finite area orientable hyperbolic surfaces. In particular, we prove upper bounds on the number of systoles that a surface can have (the so-called kissing number for hyperbolic surfaces).
Fanoni Federica, Parlier Hugo
openaire +7 more sources
Scalable Fabrication of Height‐Variable Microstructures with a Revised Wetting Model
Advanced Engineering Materials, EarlyView.Height‐variable microstructures are fabricated using a scalable CO2 laser machining approach, enabling precise control of wettability through structural gradients. Classical wetting models fail to capture height‐induced effects, necessitating a revised theoretical framework.
Prabuddha De Saram +2 more
wiley +1 more source