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Routes to chaos in continuous mechanical systems: Part 2. Modelling transitions from regular to chaotic dynamics

Authors :
V.A. Krysko
Anton V. Krysko
Jan Awrejcewicz
Irina V Papkova
Source :
Chaos, Solitons & Fractals. 45:709-720
Publication Year :
2012
Publisher :
Elsevier BV, 2012.

Abstract

In second part of the paper both classical and novel scenarios of transition from regular to chaotic dynamics of dissipative continuous mechanical systems are studied. A detailed analysis allowed us to detect the already known classical scenarios of transition from periodic to chaotic dynamics, and in particular the Feigenbaum scenario. The Feigenbaum constant was computed for all continuous mechanical objects studied in the first part of the paper. In addition, we illustrate and discuss different and novel scenarios of transition of the analysed systems from regular to chaotic dynamics, and we show that the type of scenario depends essentially on excitation parameters.

Details

ISSN :
09600779
Volume :
45
Database :
OpenAIRE
Journal :
Chaos, Solitons & Fractals
Accession number :
edsair.doi...........eeec4eedb25f5b7690e8759e504f2b97