On the stabilization of internally coupled map lattice systems
The adaptive adjustment mechanism is applied to the stabilization of an internally coupled map lattice system defined by xi,t+1=G((1−αi−βi)xi,t+αixi+1,t+βixi−1,t), where f:ℝ→ℝ is a nonlinear map, and α and β are nonnegative coupling constants that satisfy the constraint αi+βi<1, for all x∈ℝ, i=...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/S1026022604309027 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832545784677007360 |
|---|---|
| author | Weihong Huang |
| author_facet | Weihong Huang |
| author_sort | Weihong Huang |
| collection | DOAJ |
| description | The adaptive adjustment mechanism is applied to the stabilization
of an internally coupled map lattice system defined by
xi,t+1=G((1−αi−βi)xi,t+αixi+1,t+βixi−1,t),
where f:ℝ→ℝ is a
nonlinear map, and α and β are nonnegative coupling
constants that satisfy the constraint
αi+βi<1, for all x∈ℝ, i=1,2,…,n. Sufficient conditions and ranges of adjustment
parameters that guarantee the local stability of a generic steady
state have been provided. Numerical simulations have demonstrated
the effectiveness and efficiency for this mechanism to stabilize
the system to a generic unstable steady state or a periodic orbit. |
| format | Article |
| id | doaj-art-5fffee3dcdba4894ae8e7fb8f891afe2 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5fffee3dcdba4894ae8e7fb8f891afe22025-02-03T07:24:38ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2004-01-012004234535610.1155/S1026022604309027On the stabilization of internally coupled map lattice systemsWeihong Huang0Division of Economics, School of Humanities and Social Sciences, Nanyang Technological University, Nanyang Avenue, Singapore 639798, SingaporeThe adaptive adjustment mechanism is applied to the stabilization of an internally coupled map lattice system defined by xi,t+1=G((1−αi−βi)xi,t+αixi+1,t+βixi−1,t), where f:ℝ→ℝ is a nonlinear map, and α and β are nonnegative coupling constants that satisfy the constraint αi+βi<1, for all x∈ℝ, i=1,2,…,n. Sufficient conditions and ranges of adjustment parameters that guarantee the local stability of a generic steady state have been provided. Numerical simulations have demonstrated the effectiveness and efficiency for this mechanism to stabilize the system to a generic unstable steady state or a periodic orbit.http://dx.doi.org/10.1155/S1026022604309027 |
| spellingShingle | Weihong Huang On the stabilization of internally coupled map lattice systems Discrete Dynamics in Nature and Society |
| title | On the stabilization of internally coupled map lattice systems |
| title_full | On the stabilization of internally coupled map lattice systems |
| title_fullStr | On the stabilization of internally coupled map lattice systems |
| title_full_unstemmed | On the stabilization of internally coupled map lattice systems |
| title_short | On the stabilization of internally coupled map lattice systems |
| title_sort | on the stabilization of internally coupled map lattice systems |
| url | http://dx.doi.org/10.1155/S1026022604309027 |
| work_keys_str_mv | AT weihonghuang onthestabilizationofinternallycoupledmaplatticesystems |