Non-smooth dynamics induced by switches, impacts, sliding and other abrupt changes in system parameters are pervasive in physics, biology, and engineering. Yet systems with non-smooth dynamics have historically received far less attention. This focus issue brings together applied mathematicians, physicists, biologists, and engineers to present recent advances in the theory and applications of non-smooth dynamical systems. Topics to be covered in this focus issue range from the dynamics and bifurcations of piecewise-smooth and impacting systems, including non-classical sliding homoclinic and grazing bifurcations to the constructive role of non-smoothness in the stability and control of switched networks with an eye towards applications in biology and engineering.
Guest Editors: Igor Belykh, Rachel Kuske, Maurizio Porfiri, David Simpson