Higher-order calculation of transmission below the potential barrier

1974 ◽  
Vol 9 (8) ◽  
pp. 2254-2258 ◽  
Author(s):  
S. S. Wald ◽  
P. Lu
1966 ◽  
Vol 5 (2) ◽  
pp. 190C-190C
Author(s):  
Kiyoji Uehara ◽  
Koichi Shimoda

2000 ◽  
Vol 473 (1-2) ◽  
pp. 6-12 ◽  
Author(s):  
Chang Ho Hyun ◽  
Tae-Sun Park ◽  
Dong-Pil Min

1982 ◽  
Vol 25 (2) ◽  
pp. 583-586 ◽  
Author(s):  
L. C. R. Wijewardhana

1980 ◽  
Vol 22 (7) ◽  
pp. 1711-1724 ◽  
Author(s):  
K. T. Mahanthappa ◽  
Marc A. Sher

1996 ◽  
Vol 06 (03) ◽  
pp. 485-496 ◽  
Author(s):  
HARRY DANKOWICZ

This paper derives an alternative approach to the Melnikov method, which greatly reduces the amount of algebra involved in higher-order calculations. To illustrate this, a particular system is studied for which such a higher-order analysis is necessary, due to an identically vanishing first-order Melnikov function. The results of a second-order calculation imply the existence of transverse homoclinic orbits and, consequently, the existence of a horseshoe.


1973 ◽  
Vol 6 (11) ◽  
pp. 665-670 ◽  
Author(s):  
S. K. Wong ◽  
D. A. Hutchinson ◽  
J. K. S. Wan

1985 ◽  
Vol 28 (3) ◽  
pp. 395-406 ◽  
Author(s):  
Y. Fujimoto ◽  
R. Grigjanis

1965 ◽  
Vol 15 (8) ◽  
pp. 338-341 ◽  
Author(s):  
Glen W. Erickson

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