摘要:

A wide class of diffusion reaction equations with activator‐inhibitor reaction dynamics are studied analytically. It is shown that when the inhibitor diffuses much faster than the activator, patterns with large amplitude nonuniformities may exist. It is further shown that with a slightly nonuniform source of activator, the patterns which emerge from the time dependent process have a directional preference. The results given coincide with the numerical results of Gierer and Meinhardt [6

ISSN:0022-2526    

DOI:10.1002/sapm19785911

年代:1978

数据来源: WILEY

摘要:

The general solution for simple harmonic generation is obtained by inverse scattering techniques. The time evolution of the scattering data is found to be much more complicated than in all other cases which are solvable by inverse scattering. It is also pointed out that the instability of the real solutions of simple harmonic generation is related to the singular nature of the scattering data about ζ = 0

ISSN:0022-2526    

DOI:10.1002/sapm197859125

年代:1978

数据来源: WILEY

摘要:

The evolution of inviscid forced Rossby waves on a parallel flow in the presence of a critical layer is discussed. It is shown that the transient critical layer becomes nonlinear after sufficient time has elapsed and that the “− π” logarithmic phase shift is modified accordingly. All harmonics are found to be important in the nonlinear range, even outside the critical

ISSN:0022-2526    

DOI:10.1002/sapm197859137

年代:1978

数据来源: WILEY

摘要:

Generating functions of the type occur throughout enumerative combinatorics. We give a general setting for obtaining such generating functions in which the numbersM (n)have an explicit combinatorial meaning. Applications are given to the computation of Möbius functions and related invariants of certain posets

ISSN:0022-2526    

DOI:10.1002/sapm197859173

年代:1978

数据来源: WILEY

摘要:

LetS(n, k) denote Stirling numbers of the second kind, andKnbe the integer(s) such thatS(n, Kn) ⩾S(n, k) for allk. We determine the value(s) ofKnto within a maximum error of

ISSN:0022-2526    

DOI:10.1002/sapm197859183

年代:1978

数据来源: WILEY