Scrambled sets of shift operators

Wu, Xinxing; Chen, Guanrong

doi:10.22436/jnsa.009.05.59

Cited by 5 publications

(2 citation statements)

References 13 publications

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“…Hence in the sequel we restrict our study to distributionally irregular vectors. We note that aspects of distributional chaos have been studied in [1,6,11,12,16,26,30,31,32,33].…”

Section: Introductionmentioning

confidence: 99%

Rate of Growth of Distributionally Chaotic Functions

Gilmore,

Martínez-Giménez,

Peris

2018

Preprint

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We investigate the permissible growth rates of functions that are distributionally chaotic with respect to differentiation operators. We improve on the known growth estimates for D-distributionally chaotic entire functions, where growth is in terms of average L p -norms on spheres of radius r > 0 as r → ∞, for 1 ≤ p ≤ ∞. We compute growth estimates of ∂/∂x k -distributionally chaotic harmonic functions in terms of the average L 2 -norm on spheres of radius r > 0 as r → ∞. We also calculate sup-norm growth estimates of distributionally chaotic harmonic functions in the case of the partial differentiation operators D α .

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“…Hence in the sequel we restrict our study to distributionally irregular vectors. We note that aspects of distributional chaos have been studied in [1,6,11,12,16,26,30,31,32,33].…”

Section: Introductionmentioning

confidence: 99%

Rate of Growth of Distributionally Chaotic Functions

Gilmore,

Martínez-Giménez,

Peris

2018

Preprint

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“…[14,15] But recently in order to improve the mechanical and corrosion properties of the binary systems, the combination of nickel, titanium and aluminum has been presented. [16][17][18] According to good corrosion resistance of each of these materials in corrosive environments, the coatings by the combination of these materials can be utilized in various industries including, oil and gas, aerospace, automobile, etc. Therefore, different techniques for producing these coatings have been presented.…”

Section: Introductionmentioning

confidence: 99%

Influences of substrate temperature on microstructure and corrosion behavior of APS Ni ₅₀ Ti ₂₅ Al ₂₅ inter-metallic coating

Khandanjou¹,

Ghoranneviss²,

Saviz

et al. 2018

Chinese Phys. B

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In the present investigation, Ni 50 Ti 25 Al 25 (at.%) mechanically alloyed powder is deposited on carbon steel substrate. Before the coating process, the substrate is heated to temperature ranging from room temperature to 400 • C. The microstructure, porosity, microhardness, adhesion strength, and corrosion behavior of the coating are investigated at different substrate temperatures. Results show that coating porosity is lower on high temperature surface. Microhardness and adhesion strength of the deposition layer on the substrate without preheating have lower values than with preheating. The polarization test result shows that corrosion performance of the coating is dependent on micro cracks and porosities and the increasing of substrate temperature can improve the quality of coating and corrosion performance.

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