|
1. |
The Uniqueness of Odd Pair Designs |
|
Studies in Applied Mathematics,
Volume 58,
Issue 1,
1978,
Page 1-4
J. R. Griggs,
Preview
|
PDF (427KB)
|
|
摘要:
A pair design is an ordering of all pairs in {1, 2,…,n} such that pairs that share an element have at least [(n − 3)/2] pairs separating them. Such designs can be constructed for alln. We present a shorter proof of a result of Simmons and Davis, that pair designs for oddnare unique up to permuting the numbers or reversing the order of the pa
ISSN:0022-2526
DOI:10.1002/sapm19785811
年代:1978
数据来源: WILEY
|
2. |
Frequency Entrainment of a Forced van der Pol Oscillator |
|
Studies in Applied Mathematics,
Volume 58,
Issue 1,
1978,
Page 5-15
J. E. Flaherty,
F. C. Hoppensteadt,
Preview
|
PDF (1018KB)
|
|
摘要:
A van der Pol relaxation oscillator that is subjected to external sinusoidal forcing can exhibit stable and unstable periodic and almost periodic responses. For some forcing amplitudes it even happens that two stable subharmonics having different periods may coexist. We investigate here the stable responses of such forced oscillators. By numerically computing the rotation number of stable oscillations for various values of the forcing amplitude and oscillator tuning, we obtain descriptions of regions of phase locking, successive bifurcation of stable subharmonic and almost periodic oscillations, and overlap regions where two distinct stable oscillations can coexist.
ISSN:0022-2526
DOI:10.1002/sapm19785815
年代:1978
数据来源: WILEY
|
3. |
Lectures on the Inverse Scattering Transform |
|
Studies in Applied Mathematics,
Volume 58,
Issue 1,
1978,
Page 17-94
Mark J. Ablowitz,
Preview
|
PDF (6755KB)
|
|
摘要:
In 1967 a new method of mathematical physics was discovered by Gardner, Greene, Kruskal, and Miura. Their significant results have received much attention, and numerous developments have occurred within the decade. In this paper a survey of some of these developments is made. By and large the emphasis is on relating the key ideas via typical examples.
ISSN:0022-2526
DOI:10.1002/sapm197858117
年代:1978
数据来源: WILEY
|
|