Theory of synchronisation and pattern formation on time varying networks

Synchronisation and pattern formation have been intensely addressed for systems evolving on static networks. Extending the study to include inherent ability of network adjust over time proved cumbersome led conclusions which lack generality, as relying peculiar assumptions. Here, master stability formalism is extended account, in a thoroughly general prospect, additional contributions stemming from evolution underlying network. The theory successfully challenged against two illustrative testbeds, can be respectively ascribed synchronisation Turing settings.