For smooth dynamical systems, Lyapunov exponents are a well-established tool for making
qualitative predictions about the long-term behaviour of the system, since they describe the …

-Models of vibro-impact systems are widely used in machine dynamics, vibration
engineering, and structural mechanics.-Only monograph on this subject in English …

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

One of the most interesting properties of an impacting system is the possibility of an infinite
number of impacts occurring in a finite time (such as a ball bouncing to rest on a table). Such …

В предлагаемой книге излагается общий подход к априорным оценкам решений
нелинейных уравнений и неравенств в частных производных, основанный на методе …

In the present paper two types of nonsmooth oscillators are investigated: an impact oscillator
and a self-sustained friction oscillator. Both are nonsmooth one degree of freedom …

针对工程实际中普遍存在的碰撞振动系统这种典型的非光滑动力系统, 其研究具有重要的理论
意义和工程实用价值. 碰撞振动系统动力学的分析与研究方法主要有理论分析 …

Two algorithms, the objective function method (OFM) and the eigenvector algorithm (EVA),
of the inverse filter estimation are applied to extract the impulsive impacting signals. Both …

The exact periodic orbits of a conservative 2-degree-of-freedom vibro-impact system with
stereo-mechanical impact model is studied using a piecewise continuation method. Feasible …

Impacting systems are found in a great variety of mechanical constructions and they are
intrinsically nonlinear. In this paper it is shown how near-grazing systems, ie systems in …