Zobrazeno 1 - 10
of 28
pro vyhledávání: '"F. C. Hoppensteadt"'
Publikováno v:
BIT Numerical Mathematics. 47:325-350
Variable stepsize algorithms for the numerical solution of nonlinear Volterra integral and integro-differential equations of convolution type are described. These algorithms are based on an embedded pair of Runge–Kutta methods of order p=5 and p=4
Publikováno v:
Applied Numerical Mathematics. 56:533-543
We propose a numerical algorithm for a model of the spread of infection in the theory of epidemics. This model involves a threshold for becoming infective and leads to a system of delay-differential equations with the delay function which depends on
Autor:
F. C. Hoppensteadt
Publikováno v:
Mathematics of Biology ISBN: 9783642110689
When organisms reproduce, they pass on to their progeny a partiuclar genetic code that prescribes their chemical composition. This happens in various ways for various organisms. For example, bacteria reproduce by doubling in size, duplicating all of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c74b609b139ec4ae491dc0f2bbb6b31b
https://doi.org/10.1007/978-3-642-11069-6_5
https://doi.org/10.1007/978-3-642-11069-6_5
Autor:
F C, Hoppensteadt, E M, Izhikevich
Publikováno v:
Biological cybernetics. 75(2)
We study weakly connected networks of neural oscillators near multiple Andronov-Hopf bifurcation points. We analyze relationships between synaptic organizations (anatomy) of the networks and their dynamical properties (function). Our principal assump
Publikováno v:
The Statistician. 43:211
Autor:
F. C. Hoppensteadt, J. E. Flaherty
Publikováno v:
Annals of the New York Academy of Sciences. 316:511-516
Autor:
F. C. Hoppensteadt
Publikováno v:
Annals of the New York Academy of Sciences. 504:52-61
The VCON model described here shares certain qualitative features of stimulus-response characteristics with the data in FIGURE 1 and TABLE 1. At the same time, it provides an uncomplicated methodology for modelling neural networks that emphasizes the
Autor:
S. C. Persek, F. C. Hoppensteadt
Publikováno v:
Communications on Pure and Applied Mathematics. 31:133-156
Autor:
F. C. Hoppensteadt
Publikováno v:
Mathematical Medicine and Biology. 1:135-148
A simplified circuit analogue of a nerve cell is introduced here. This circuit is based on modulation of a voltage-controlled oscillator by signals entering through a circuit analogue of a chemical synapse. Phase locking of frequency-encoded informat
Autor:
F. C. Hoppensteadt, W. L. Miranker
Publikováno v:
SIAM Journal on Scientific and Statistical Computing. 4:612-625
We show how the form of the perturbation approximation for the solution of stiff systems of ordinary differential equations with an identifiable small parameter can be used to generate associated nonstiff or relaxed equations. Solutions of these rela