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And conditions to reach synchronization are more complex and difficult when chaotic systems have random parameters.
Particularly, an optional gain coefficient is selected in the parameter observers and positive Lyapunov function, which decides the transient period to identify the unknown parameters and reach synchronization.
When scaling message-passing applications to thousands of processors, their performance is often affected by wait states that occur when processes fail to reach synchronization points simultaneously.
Rigorous proof shows that the systems output can reach synchronization in a finite time and the final consensus states are the leader׳s states.
It is usually investigated in the NCDSs that all oscillators approach a uniform dynamical behavior, that is, all the nodes in the NCDSs reach synchronization eventually.
Under the hybrid topologies, the pinning controllers on the chosen nodes of undirected network are designed to reach synchronization behavior with convex combination of the nodes in direct network.
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The plot highlights the dynamic learning that Eve machine invokes until reaching synchronization.
The coordination mission is completed by reaching synchronization on a suitably defined path variable, even in the presence of partial knowledge of the reference speed.
When applying this algorithm to real sensor networks, typically, nodes cannot receive messages while transmitting, which prevents the networked nodes from reaching synchronization.
To describe the system's ability reaching synchronization, a concept about generalized algebraic connectivity is introduced for strongly connected networks and then extended to the strongly connected components of the directed network containing a directed spanning tree.
The two waldos can also be synchronized, forcing one to wait for the other to reach a synchronization command.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com