Weihong Huang, "On the stabilization of internally coupled map lattice systems", Discrete Dynamics in Nature and Society, vol. 2004, Article ID 134585, 12 pages, 2004. https://doi.org/10.1155/S1026022604309027
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 , where is a nonlinear map, and and are nonnegative coupling constants that satisfy the constraint , for all , . 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.
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