Discontinuity induced bifurcations in nonlinear systems
作者： B. Santhosh , S. Narayanan , C. Padmanabhan
DOI: 10.1016/J.PIUTAM.2016.03.028
关键词: Time domain 、 Numerical integration 、 Sudden onset 、 Nonlinear system 、 Dry friction 、 Mathematical analysis 、 Shooting method 、 Mathematics 、 Classical mechanics 、 Discontinuity (geotechnical engineering)
摘要: Abstract Nonlinear systems involving impact, friction, free-play, switching etc. are discontinuous and exhibit sliding grazing bifurcations when periodic trajectories interact with the discontinuity surface which classified into crossing sliding, adding depending on nature of bifurcating solutions from surface. The sudden onset chaos stick-slip motion can be explained in terms these bifurcations. This paper presents numerical numerical-analytical methods studying dynamics harmonically excited nonlinearities representing them as Filippov systems. switch model based integration schemes combination time domain shooting method adopted to obtain
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