Contents
1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
Peter V. E. McClintock and Aneta Stefanovska
Part I Theory
2 Phase and Amplitude Description of Complex Oscillatory
Patterns in Reaction-Diffusion Systems . . . . . . . . . . . . . . . . . . . . . . 11
Hiroya Nakao
3 Reduced Phase Models of Oscillatory Neural Networks . . . . . . . . . 29
Bastian Pietras and Andreas Daffertshofer
4 Nonautonomous Attractors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55
Peter E. Kloeden and Meihua Yang
5 Normal Hyperbolicity for Non-autonomous Oscillators
and Oscillator Networks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
Robert S. MacKay
6 Synchronisation and Non-autonomicity . . . . . . . . . . . . . . . . . . . . . . 85
Maxime Lucas, Julian M. I. Newman, and Aneta Stefanovska
7 Non-asymptotic-time Dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111
Julian M. I. Newman, Maxime Lucas, and Aneta Stefanovska
8 Synchronization of Coupled Oscillators—Phase Transitions
and Entropy Production . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131
Steven Yuvan and Martin Bier
Part II Model-Driven and Data-Driven Approaches
9 On Localised Modes in Bio-inspired Hierarchically Organised
Oscillatory Chains . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153
Ivana Kovacic, Dragi Radomirovic, and Miodrag Zukovic
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