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Bifurcation and chaos in drive systems

Kratochvil C., Houfek L., Houfek M., Krejsa J.

Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska

2006

z. 31

89-94

The paper is focused on analysis of dynamic properties of controlled drive systems. It describes the possible ways of stability analysis. Paper is also focused on bifurcation of steady states and possible oceurence of chaotic behavior.

Analysis resonant and off resonant status nonlinear drive system with nonlinear clutch

Houfek M., Kratochvil C.

Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska

2006

z. 31

63-66

The dynamic behaviour of drive system is described in the paper. The non-linearity is modeled as clearance in the clutch between the gear and working path. In the paper we present the simulations of dynamic behaviour and description of possible bifurcation of steady states and chaotic behaviour.

Factorization of the Popov Function of a Multivariable Linear Distributed Parameter System in the Non-Coercive Case: a Penalization Approach

Pandolfi L.

International Journal of Applied Mathematics and Computer Science

2001

Vol. 11, no 6

1249-1260

We study the construction of an outer factor to a positive definite Popov function Pi(iomega) of a distributed parameter system. We assume that Pi(iomega) is a non-negative definite matrix with non-zero determinant. Coercivity is not assumed. We present a penalization approach which gives an outer factor just in the case when there exists any outer factor.