We give an overview of all codim 1 bifurcations in generic planar discontinuous piecewise
smooth autonomous systems, here called Filippov systems. Bifurcations are defined using …

Improving locomotion performance is the primary objective in studying vibration-driven
locomotion systems. In this paper, we report out recent progress within this topic from three …

This book presents a coherent framework for understanding the dynamics of piecewise-
smooth and hybrid systems. An informal introduction expounds the ubiquity of such models …

Power electronics is a discipline spawned by real-life applications in industrial, commercial,
residential and aerospace environments. Much of its development evolves around some …

Technical problems often lead to differential equations with piecewise-smooth right-hand
sides. Problems in mechanical engineering, for instance, violate the requirements of …

A review is presented of the one-parameter, nonsmooth bifurcations that occur in a variety of
continuous-time piecewise-smooth dynamical systems. Motivated by applications, a …

A systematic approach to the chattering analysis in systems with second-order sliding
modes is developed. The neglected actuator dynamics is considered to be the main cause …

Page 1 LECTURE NOTES IN APPLIED AND COMPUTATIONAL MECHANICS VOL. 43 Raouf A.
Ibrahim Vibro-Impact Dynamics Modeling, Map** and Applications Springer Page 2 Lecture …

Real-world systems that involve some non-smooth change are often well-modeled by
piecewise-smooth systems. However there still remain many gaps in the mathematical …

Discontinuous control systems are the oldest type of control system and the
mostwidespreadtypeofnonlinearcontrolsystem. Thetheoryofdiscontinuous control, and the …