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Routes to chaos in continuous mechanical systems: Part 2. Modelling transitions from regular to chaotic dynamics
- 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.
- Subjects :
- General Mathematics
Applied Mathematics
Dynamics (mechanics)
Chaotic
General Physics and Astronomy
Statistical and Nonlinear Physics
Type (model theory)
Nonlinear Sciences::Chaotic Dynamics
CHAOS (operating system)
Mechanical system
Classical mechanics
Dissipative system
Feigenbaum constants
Mathematics
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 45
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........eeec4eedb25f5b7690e8759e504f2b97