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Coexistent of Solutions in Non-Linear Systems with Impacts

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Abstract:

This paper proposes a corrected shooting method for a general non-linear system with impacts. We define the global Poincaré mapping for period orbits by the discontinuous mapping. It is suitable to construct the strategy of shooting method. As an illustrated example, we investigate the stability of period orbits in a Duffing system with impacts. In Addition, coexistence of attractors and bifurcations for period orbits are considered.

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Periodical:

Applied Mechanics and Materials (Volumes 543-547)

Pages:

1840-1843

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.543-547.1840

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Online since:

March 2014

Authors:

Jin Qian Feng*, Yue Tang Rong, Jun Li Liu

Keywords:

Bifurcation, Duffing System, Non-Smooth Dynamical System, Periodic Orbit, Shooting Method, Stability

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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