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Review of "Piecewise-Smooth Dynamical Systems: Theory and Applications by M. di Bernardo, C. Budd, A. Champneys and P. Kowalczyk; 2008"

Bernard Brogliato 1
1 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems
Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology, LJK - Laboratoire Jean Kuntzmann, Inria Grenoble - Rhône-Alpes
Abstract : This book deals with the analysis of bifurcation and chaos in nonsmooth (called piecewise smooth by the authors) dynamical systems. Some of the topics covered include: a very detailed study of discontinuity-induced bifurcations (DIBs) in nonsmooth maps and nonsmooth systems; limit-cycle bifurcations in vibro-impact systems; grazing bifurcations for periodic trajectories; the derivation of Poincare maps; the influence of chattering; and sliding mode systems. This book is a strong contribution to the field of bifurcation and chaos analysis and more generally to the field of nonsmooth dynamical systems analysis and will serve as a reference to specialists in the field.
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Bernard Brogliato. Review of "Piecewise-Smooth Dynamical Systems: Theory and Applications by M. di Bernardo, C. Budd, A. Champneys and P. Kowalczyk; 2008". 2008, pp.141-143. ⟨10.1109/MCS.2008.929164⟩. ⟨hal-00821363⟩

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