On circle map coupled map lattice

The circle map in one and two dimensions is studied. Both its stability and synchronization, using a bounded control and persistence, are discussed. This work is expected to be applicable in ecology where spatial effects are known to be important. Also, it will be relevant to systems where delay eff...

Full description

Bibliographic Details
Main Authors: E. Ahmed, A. S. Hegazi
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171203111234
id doaj-2c89c721f01141ad8ef3291e6cc1b795
record_format Article
spelling doaj-2c89c721f01141ad8ef3291e6cc1b7952020-11-24T22:57:51ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003452887289610.1155/S0161171203111234On circle map coupled map latticeE. Ahmed0A. S. Hegazi1Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, EgyptMathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, EgyptThe circle map in one and two dimensions is studied. Both its stability and synchronization, using a bounded control and persistence, are discussed. This work is expected to be applicable in ecology where spatial effects are known to be important. Also, it will be relevant to systems where delay effects are not negligible.http://dx.doi.org/10.1155/S0161171203111234
collection DOAJ
language English
format Article
sources DOAJ
author E. Ahmed
A. S. Hegazi
spellingShingle E. Ahmed
A. S. Hegazi
On circle map coupled map lattice
International Journal of Mathematics and Mathematical Sciences
author_facet E. Ahmed
A. S. Hegazi
author_sort E. Ahmed
title On circle map coupled map lattice
title_short On circle map coupled map lattice
title_full On circle map coupled map lattice
title_fullStr On circle map coupled map lattice
title_full_unstemmed On circle map coupled map lattice
title_sort on circle map coupled map lattice
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2003-01-01
description The circle map in one and two dimensions is studied. Both its stability and synchronization, using a bounded control and persistence, are discussed. This work is expected to be applicable in ecology where spatial effects are known to be important. Also, it will be relevant to systems where delay effects are not negligible.
url http://dx.doi.org/10.1155/S0161171203111234
work_keys_str_mv AT eahmed oncirclemapcoupledmaplattice
AT ashegazi oncirclemapcoupledmaplattice
_version_ 1725648953526976512