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In the past ten years, there has been much progress in understanding the global dynamics of systems with several degrees-of-freedom. An important tool in these studies has been the theory of normally hyperbolic invariant manifolds and foliations of normally hyperbolic invariant manifolds. In recent years these techniques have been used for the development of global perturbation methods, the study of resonance phenomena in coupled oscillators, geometric singular perturbation theory, and the study of bursting phenomena in biological oscillators. "Invariant manifold theorems" have become...

Flow Control and Optimization is increasingly incorporated in the design of engineering devices ranging from aircraft and space vehicles to micro?uidic devices. Research in this ?eld aims to integrate knowledge in ?ow physics with theoretical advances and novel experimental capabilities and engineering devices capable of materializing advanced design concepts. In turn controlled ?ow phenomena exhibit a new arrays of physics and open frontiers for further interdisciplinary research in ?uid mechanics and all the engineering domains that it a?ects. This collection of papers in ?ow control,...