Abstract
The problem of determining when a given discrete flow on a topological space is embeddable in some continuous flow was mentioned by G. R. Sell ("Topological Dynamics and Ordinary Differential Equations," Van Nostrand, New York, 1971) in his book on topological dynamics. In this book, the theory of generalized dynamical systems is exploited in the qualitative study of differential equations. Even more complicated is the problem of simultaneously embedding two or more discrete flows in a single continuous flow. We examine both of these problems when the underlying topological space is the space R of the real numbers. © 1980.
Recommended Citation
P. L. Sharma and T. L. Hicks, "Embedding Discrete Flows On R In A Continuous Flow," Journal of Mathematical Analysis and Applications, vol. 74, no. 1, pp. 31 - 40, Elsevier, Jan 1980.
The definitive version is available at https://doi.org/10.1016/0022-247X(80)90112-2
Department(s)
Mathematics and Statistics
International Standard Serial Number (ISSN)
1096-0813; 0022-247X
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 Elsevier, All rights reserved.
Publication Date
01 Jan 1980
