Root
/
Conference Proceedings
/
3rd INTERNATIONAL CONFERENCE "PHYSICS AND CONTROL" (PhysCon 2007)
/
On the Controlled Synchronization of Dynamical
Networks with Non Identical Nodes
/

On this contribution, the problem of chaos synchronization on networks of structurally

different dynamical systems is investigated. Synchronization of dynamical networks is usually define

in terms of identical accordance on the evolution of each individual node in the network. However,

for a network consisting of strictly different nodes, this type of synchronization may not be possible.

However, a generalized definition of synchronization can be introduced where the evolution of each

node can be related to the others in terms of a given transformation. In particular, in this study the

case considered is that of systems of identical dimension that can be express in a canonical form by

an appropriately chosen coordinate transformation. In order to determine conditions under which

a network of strictly different nodes can achieve a generalized synchronization, a local robust controller

is designed to forces the network to synchronize in terms of its transformed coordinates. The

main results of this study are illustrated by numerical simulations of a network of well-known chaotic

benchmark systems.

different dynamical systems is investigated. Synchronization of dynamical networks is usually define

in terms of identical accordance on the evolution of each individual node in the network. However,

for a network consisting of strictly different nodes, this type of synchronization may not be possible.

However, a generalized definition of synchronization can be introduced where the evolution of each

node can be related to the others in terms of a given transformation. In particular, in this study the

case considered is that of systems of identical dimension that can be express in a canonical form by

an appropriately chosen coordinate transformation. In order to determine conditions under which

a network of strictly different nodes can achieve a generalized synchronization, a local robust controller

is designed to forces the network to synchronize in terms of its transformed coordinates. The

main results of this study are illustrated by numerical simulations of a network of well-known chaotic

benchmark systems.