Nonlinear Vibrations and Chaos: Symmetry and Topics of Symmetry
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Engineering and Materials".
Deadline for manuscript submissions: closed (29 February 2024) | Viewed by 1851
Special Issue Editor
Interests: nonlinear vibrations and chaos; machine learning and AI; manufacturing processes; monitoring; optimization and reliability; machinery sound and noise control
Special Issue Information
Dear Colleagues,
Nonlinear structural and mechanical systems are known to exhibit extensively rich and complex motion patterns. Such a diverse vibrational response is characterized by the presence of bifurcations, multiple coexisting modes, period doubling, and chaos. It is also documented that some manufacturing processes—for example, metal cutting—exhibit nonlinear vibrations that may include unpredictable chaotic behavior. Nonlinear and chaotic vibrations are usually described using tools such as iterated maps, phase plane analysis, Poincaré sections, bifurcation diagrams, fractal dimension, statistical parameters, and time–frequency wavelet analysis. Understanding the correlation between the patterns of symmetry in the vibration response and system parameters is fundamental to predicting and controlling these nonlinear systems. This Special Issue emphasizes the implications of symmetry and asymmetry of nonlinear vibrations and chaotic motion and the consideration of symmetry in structural properties that influence system response. Referring to nonlinear vibrations and chaos, this Special Issue welcomes novel research papers and comprehensive reviews dealing with recent theoretical and experimental developments within the scope of this journal.
Prof. Dr. Issam Abu-Mahfouz
Guest Editor
Manuscript Submission Information
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Keywords
- applications of nonlinear vibrations and chaos
- bifurcation and period doubling
- chaos and chaotic motion
- fractals
- nonlinear vibrations
- poincare’ section
- strange attractor
- symmetry in chaotic vibrations
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