| Title |
-
en
On embedded bifurcation structure in some discretized vector fields
|
| Creator |
|
| Accessrights |
open access |
| Rights |
-
en
Copyright 2009 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Chaos, 19, 033132, 2009 and may be found at http://dx.doi.org/10.1063/1.3212934
|
| Subject |
-
Other
en
bifurcation
-
Other
en
nonlinear differential equations
-
Other
en
nonlinear dynamical systems
-
Other
en
vectors
-
NDC
421
|
| Description |
-
Abstract
en
In this paper, we study a dynamic structure of discretized vector fields obtained from the Brusselator, which is described by two-dimensional ordinary differential equations (ODEs). We found that a bifurcation structure of the logistic map is embedded in the discretized vector field. The embedded bifurcation structure was unraveled by the dynamical orbits that eventually converge to a fixed point. We provide a detailed mathematical analysis to explain this phenomenon and relate it to the solution of the original ODEs.
|
| Publisher |
en
American Institute of Physics
|
| Date |
|
| Language |
|
| Resource Type |
journal article |
| Version Type |
VoR |
| Identifier |
HDL
http://hdl.handle.net/2115/39276
|
| Relation |
-
isIdenticalTo
DOI
https://doi.org/10.1063/1.3212934
-
PMID
19792012
|
| Journal |
-
-
PISSN
1054-1500
-
EISSN
1089-7682
-
en
Chaos : An Interdisciplinary Journal of Nonlinear Science
-
Volume Number19
Issue Number3
Page Start033132
|
| File |
|
| Oaidate |
2023-07-26 |
