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- W4315631634 abstract "Non-smooth dynamics induced by switches, impacts, sliding, and other abrupt changes are pervasive in physics, biology, and engineering. Yet, systems with non-smooth dynamics have historically received far less attention compared to their smooth counterparts. The classic Bristol book [di Bernardo et al., Piecewise-smooth Dynamical Systems. Theory and Applications (Springer-Verlag, 2008)] contains a 2008 state-of-the-art review of major results and challenges in the study of non-smooth dynamical systems. In this paper, we provide a detailed review of progress made since 2008. We cover hidden dynamics, generalizations of sliding motion, the effects of noise and randomness, multi-scale approaches, systems with time-dependent switching, and a variety of local and global bifurcations. Also, we survey new areas of application, including neuroscience, biology, ecology, climate sciences, and engineering, to which the theory has been applied." @default.
- W4315631634 created "2023-01-12" @default.
- W4315631634 creator A5018635001 @default.
- W4315631634 creator A5041066636 @default.
- W4315631634 creator A5067953112 @default.
- W4315631634 creator A5070081332 @default.
- W4315631634 date "2023-01-01" @default.
- W4315631634 modified "2023-10-16" @default.
- W4315631634 title "Beyond the Bristol book: Advances and perspectives in non-smooth dynamics and applications" @default.
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