On the stabilization of internally coupled map lattice systems

Weihong Huang

Discrete Dynamics in Nature and Society, 2004, vol. 2004, 1-12

Abstract:

The adaptive adjustment mechanism is applied to the stabilization of an internally coupled map lattice system defined by x i , t + 1 = G ( ( 1 − α i − β i ) x i , t + α i x i + 1 , t + β i x i − 1 , t ) , where f : ℝ → ℝ is a nonlinear map, and α and β are nonnegative coupling constants that satisfy the constraint α i + β i < 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.

Date: 2004
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/DDNS/2004/134585.pdf (application/pdf)
http://downloads.hindawi.com/journals/DDNS/2004/134585.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:134585

DOI: 10.1155/S1026022604309027

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().