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

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  • Krysko, A.V.
  • Awrejcewicz, J.
  • Papkova, I.V.
  • Krysko, V.A.

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.

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  • Krysko, A.V. & Awrejcewicz, J. & Papkova, I.V. & Krysko, V.A., 2012. "Routes to chaos in continuous mechanical systems: Part 2. Modelling transitions from regular to chaotic dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 45(6), pages 709-720.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:6:p:709-720
    DOI: 10.1016/j.chaos.2012.02.001
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    Cited by:

    1. Petkov, Boyan H., 2015. "Difficulties in detecting chaos in a complex system," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 35-47.

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