Wide-Angle Shift-Map PE for a Piecewise Linear Terrain

2009 ◽  
Author(s):  
Peter D. Holm ◽  
Börje Nilsson ◽  
Louis Fishman ◽  
Anders Karlsson ◽  
Sven Nordebo
2020 ◽  
Vol 68 (5) ◽  
pp. 3911-3918
Author(s):  
Dan-Dan Wang ◽  
Yu-Rong Pu ◽  
Xiao-Li Xi ◽  
Li-Li Zhou

2012 ◽  
Vol 22 (08) ◽  
pp. 1250202 ◽  
Author(s):  
QING-JU FAN

In this paper, we study the chaotic dynamics of a voltage-mode controlled buck converter, which is typically a switched piecewise linear system. For the two-dimensional hybrid system, we consider a properly chosen cross-section and the corresponding Poincaré map, and show that the dynamics of the system is semi-conjugate to a 2-shift map, which implies the chaotic behavior of this system. The essential tool is a topological horseshoe theory and numerical method.


2018 ◽  
Vol 429 ◽  
pp. 53-59 ◽  
Author(s):  
James N. Monks ◽  
Liyang Yue ◽  
Bing Yan ◽  
Barrie Aldred ◽  
Andrew Hurst ◽  
...  
Keyword(s):  

1998 ◽  
Vol 9 (7) ◽  
pp. 58
Author(s):  
J. BRIAN CALDWELL
Keyword(s):  

Author(s):  
R. W. Carpenter ◽  
I.Y.T. Chan ◽  
J. M. Cowley

Wide-angle convergent beam shadow images(CBSI) exhibit several characteristic distortions resulting from spherical aberration. The most prominent is a circle of infinite magnification resulting from rays having equal values of a forming a cross-over on the optic axis at some distance before reaching the paraxial focal point. This distortion is called the tangential circle of infinite magnification; it can be used to align and stigmate a STEM and to determine Cs for the probe forming lens. A second distortion, the radial circle of infinite magnification, results from a cross-over on the lens caustic surface of rays with differing values of ∝a, also before the paraxial focal point of the lens.


Author(s):  
L. T. Germinario ◽  
J. Blackwell ◽  
J. Frank

This report describes the use of digital correlation and averaging methods 1,2 for the reconstruction of high dose electron micrographs of the chitin-protein complex from Megarhyssa ovipositor. Electron microscopy of uranyl acetate stained insect cuticle has demonstrated a hexagonal array of unstained chitin monofibrils, 2.4−3.0 nm in diameter, in a stained protein matrix3,4. Optical diffraction Indicated a hexagonal lattice with a = 5.1-8.3 nm3 A particularly well ordered complex is found in the ovipositor of the ichneumon fly Megarhyssa: the small angle x-ray data gives a = 7.25 nm, and the wide angle pattern shows that the protein consists of subunits arranged in a 61 helix, with an axial repeat of 3.06 nm5.


1981 ◽  
Vol 64 (10) ◽  
pp. 9-17 ◽  
Author(s):  
Toshimichi Saito ◽  
Hiroichi Fujita

1987 ◽  
Vol 32 (1) ◽  
pp. 54-55
Author(s):  
Jack P. Shonkoff

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