Finite dimensional dynamics for evolutionary equations
نویسندگان
چکیده
منابع مشابه
Moving Mesh Finite Volume Methods for One-dimensional Evolutionary Partial Diierential Equations
Finite volume moving mesh methods are developed for unsteady one-dimensional partial diierential equations. The methods can be viewed as conservative discretisations of the Lagrangian form of the original diier-ential equations. Grid points are moved using the idea of mesh equidistri-bution. The coupled unsteady diierential equations and grid movement equations are solved using a robust and eec...
متن کاملA MODEL FOR EVOLUTIONARY DYNAMICS OF WORDS IN A LANGUAGE
Human language, over its evolutionary history, has emerged as one of the fundamental defining characteristic of the modern man. However, this milestone evolutionary process through natural selection has not left any ’linguistic fossils’ that may enable us to trace back the actual course of development of language and its establishment in human societies. Lacking analytical tools to fathom the cr...
متن کاملNonstandard finite difference schemes for differential equations
In this paper, the reorganization of the denominator of the discrete derivative and nonlocal approximation of nonlinear terms are used in the design of nonstandard finite difference schemes (NSFDs). Numerical examples confirming then efficiency of schemes, for some differential equations are provided. In order to illustrate the accuracy of the new NSFDs, the numerical results are compared with ...
متن کاملEquations of Evolutionary Dynamics in High Dimensions
We study quasi-species and closely related evolutionary dynamics like the replicator-mutator equation in high dimensions. In particular, we show that under certain conditions the fitness of almost all quasi-species becomes independent of mutational probabilities and the initial frequency distributions of the sequences in high dimensional sequence spaces. This result is the consequence of the co...
متن کاملEvolutionary game dynamics in finite populations.
We introduce a model of stochastic evolutionary game dynamics in finite populations which is similar to the familiar replicator dynamics for infinite populations. Our focus is on the conditions for selection favoring the invasion and/or fixation of new phenotypes. For infinite populations, there are three generic selection scenarios describing evolutionary game dynamics among two strategies. Fo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinear Dynamics
سال: 2006
ISSN: 0924-090X,1573-269X
DOI: 10.1007/s11071-006-9049-5