THE OSCILLATION–ROTATION ATTRACTORS IN THE FORCED PENDULUM AND THEIR PECULIAR PROPERTIES

Author:

SZEMPLIŃSKA-STUPNICKA WANDA1,TYRKIEL ELŻBIETA1

Affiliation:

1. Institute of Fundamental Technological Research, Polish Academy of Sciences, Świȩtokrzyska 21, 00-049 Warsaw, Poland

Abstract

The paper is aimed at exploration of the properties of the oscillation–rotation attractors in the dissipative pendulum driven by external periodic force. The study of regions of existence of the orbits in the system control parameter plane, coexistence with other attractors, fractal structure of their basins of attraction, and the role they play in the onset of the tumbling chaos, give an insight into some peculiar features of the oscillation–rotation attractors and their bifurcational structures.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

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