ISSN:0010-3640    

DOI:10.1002/cpa.3160470102

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractThis paper is dedicated to Henry McKean, whose master craftsmanship enriched such diverse areas of mathematics and provided his disciples with a lofty measure by which to gauge their efforts, and so redouble them.

ISSN:0010-3640    

DOI:10.1002/cpa.3160470103

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractThe problem of the equilibria of particle chains with nearest and next‐to‐nearest neighbor interaction has been reduced to the dynamical system, given by 4D or 2D web‐maps. It is shown that at the same time these maps can represent difference schemes for differential equations used in computational simulation. An analogy between particle disordering, dynamical chaos, and simulation induced chaos is established. © 1994 John Wiley&Son

ISSN:0010-3640    

DOI:10.1002/cpa.3160470104

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

ISSN:0010-3640    

DOI:10.1002/cpa.3160470105

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractIt is shown that the function [α + (1 + 2s)1/2]−1,s≥ 0, with fixed α ≥ −1, is the Laplace transform of an explicitly given non‐negative functiong(x;α), × ≥ 0. This class of functions has easily computable convolutions. This property is used to identify the distribution of a sojourn time integral for the diffusion defined as Brownian motion on the real line with constant drift to the origin. © 1994 John

ISSN:0010-3640    

DOI:10.1002/cpa.3160470106

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractPerturbed sine‐Gordon equations are investigated numerically to see if they have breather solutions. It is shown that breathers radiate, blow up, and split into kink‐antikink pairs under most perturbations. The two perturbations proven by Birnir, McKean, and Weinstein not to produce radiation, of the first order in the perturbation parameter, a sin(u) + b ucos(u) and 1+3cos(u) ‐ 4cos(u/2) + 4cos(u)log(cos(u/4)), stop radiating first‐order radiation after adjusting the initial breather by the emission of such radiation. The first perturbation is a scaling of the breather, the second is shown to give a quasi‐periodic orbit, which is a two‐breather, on a torus. © 1994 John Wil

ISSN:0010-3640    

DOI:10.1002/cpa.3160470107

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

ISSN:0010-3640    

DOI:10.1002/cpa.3160470101

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY