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.
| Original language | English |
|---|---|
| Pages (from-to) | 709-720 |
| Number of pages | 12 |
| Journal | Chaos, Solitons and Fractals |
| Volume | 45 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Jun 2012 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Mathematics(all)
Cite this
Routes to chaos in continuous mechanical systems : Part 2. Modelling transitions from regular to chaotic dynamics. / Krysko, A. V.; Awrejcewicz, J.; Papkova, I. V.; Krysko, V. A.
In: Chaos, Solitons and Fractals, Vol. 45, No. 6, 01.06.2012, p. 709-720.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Routes to chaos in continuous mechanical systems
T2 - Part 2. Modelling transitions from regular to chaotic dynamics
AU - Krysko, A. V.
AU - Awrejcewicz, J.
AU - Papkova, I. V.
AU - Krysko, V. A.
PY - 2012/6/1
Y1 - 2012/6/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84860156205&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84860156205&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2012.02.001
DO - 10.1016/j.chaos.2012.02.001
M3 - Article
VL - 45
SP - 709
EP - 720
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
SN - 0960-0779
IS - 6
ER -