Mixing with piecewise isometries on a hemispherical shell

2016 ◽  
Vol 26 (7) ◽  
pp. 073115 ◽  
Author(s):  
Paul P. Park ◽  
Paul B. Umbanhowar ◽  
Julio M. Ottino ◽  
Richard M. Lueptow
Keyword(s):  
Hemispherical Shell ◽  
Piecewise Isometries

Density of invariant disk packings for planar piecewise isometries

2007 ◽  
Vol 22 (1) ◽  
pp. 65-72 ◽  
Author(s):  
Rong-Zhong Yu ◽  
Xin-Chu Fu ◽  
Shu-Liang Shui
Keyword(s):  
Piecewise Isometries ◽  
Disk Packings

Coolant starvation in a transpiration-cooled hemispherical shell.

1968 ◽  
Vol 5 (6) ◽  
pp. 751-752 ◽  
Author(s):  
P. J. SCHNEIDER ◽  
R. E. MAUBER
Keyword(s):  
Hemispherical Shell

Dynamic response of internally nested hemispherical shell system to impact loading

2017 ◽  
Vol 120 ◽  
pp. 29-37 ◽  
Author(s):  
Jianxing Hu ◽  
Guoyun Lu ◽  
Huiwei Yang ◽  
T.X. Yu ◽  
Jun Xu
Keyword(s):  
Dynamic Response ◽  
Impact Loading ◽  
Shell System ◽  
Hemispherical Shell

Invar-36 Micro Hemispherical Shell Resonators

2014 ◽  
Author(s):  
Nishanth Mehanathan ◽  
Vahid Tavassoli ◽  
Peng Shao ◽  
Logan Sorenson ◽  
Farrokh Ayazi
Keyword(s):  
Hemispherical Shell

scholarly journals Packings induced by piecewise isometries cannot contain the arbelos

2008 ◽  
Vol 22 (3) ◽  
pp. 791-806 ◽  
Author(s):  
Marcello Trovati ◽  
◽  
Peter Ashwin ◽  
Nigel Byott
Keyword(s):  
Piecewise Isometries

Conditions for dynamical symmetry of a nonideal hemispherical shell with perturbation of the shape of the rim

1989 ◽  
Vol 25 (9) ◽  
pp. 941-947
Author(s):  
M. A. Pavlovskii ◽  
S. A. Sarapulov ◽  
S. P. Kisilenko
Keyword(s):  
Dynamical Symmetry ◽  
Hemispherical Shell

scholarly journals Characterization of an Aluminum Alloy Hemispherical Shell Fabricated via Direct Metal Laser Melting

JOM ◽  
2016 ◽  
Vol 68 (3) ◽  
pp. 1000-1011 ◽  
Author(s):  
T. G. Holesinger ◽  
J. S. Carpenter ◽  
T. J. Lienert ◽  
B. M. Patterson ◽  
P. A. Papin ◽  
...  
Keyword(s):  
Aluminum Alloy ◽  
Laser Melting ◽  
Hemispherical Shell

scholarly journals PROPERTIES OF THE INVARIANT DISK PACKING IN A MODEL BANDPASS SIGMA–DELTA MODULATOR

2003 ◽  
Vol 13 (03) ◽  
pp. 631-641 ◽  
Author(s):  
PETER ASHWIN ◽  
XIN-CHU FU ◽  
JONATHAN DEANE
Keyword(s):  
Phase Space ◽  
Analytic Functions ◽  
Parameter Family ◽  
Sigma Delta Modulator ◽  
Sigma Delta ◽  
Disk Packing ◽  
Piecewise Isometries ◽  
Map Operations ◽  
Countably Infinite ◽  
Parameter Values

In this paper we discuss the packing properties of invariant disks defined by periodic behavior of a model for a bandpass Σ–Δ modulator. The periodically coded regions form a packing of the forward invariant phase space by invariant disks. For this one-parameter family of PWIs, by introducing codings underlying the map operations we give explicit expressions for the centers of the disks by analytic functions of the parameters, and then show that tangencies between disks in the packings are very rare; more precisely they occur on parameter values that are at most countably infinite. We indicate how similar results can be obtained for other plane maps that are piecewise isometries.

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