Published: 31 March 2011

Nonlinear oscillations, transition to chaos and escape in the Duffing system with non-classical damping

Laura Ruzziconi1
Grzegorz Litak2
Stefano Lenci3
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Abstract

We investigate the power of a ripping head in the process of concrete cutting. Using nonlinear embedding methods we study the corresponding time series obtained during the cutting process. The calculated maximal Lyapunov exponent indicates the exponential divergence typical for chaotic or stochastic systems. The recurrence plots technique has been used to get nonlinear process statistics for identification and description of nonlinear dynamics, lying behind the cutting process.

About this article

Received
11 November 2010
Accepted
04 February 2011
Published
31 March 2011
Keywords
ripping head
nonlinear dynamics
vibrations
embedding theory