CHAOTIC SYNCHRONIZATION OF VIBRATIONS OF A COUPLED MECHANICAL SYSTEM CONSISTING OF A PLATE AND BEAMS

Authors

  • JAN AWREJCEWICZ DEPARTMENT OF AUTOMATION AND BIOMECHANICS
  • ANTON KRYSKO ENGELS INSTITUTE OF TECHNOLOGY (BRANCH) SARATOV STATE TECHNICAL UNIVERSITY
  • TV YAKOVLEVA ENGELS INSTITUTE OF TECHNOLOGY (BRANCH) SARATOV STATE TECHNICAL UNIVERSITY
  • DS ZELENCHUK ENGELS INSTITUTE OF TECHNOLOGY (BRANCH) SARATOV STATE TECHNICAL UNIVERSITY
  • VADIM KRYSKO SARATOV STATE TECHNICAL UNIVERSITY, DEPARTMENT OF MATHEMATICS AND MODELING

Keywords:

CHAOTIC SYNCHRONIZATION, PDE REDUCTION, FOURIER AND WAVELET TRANSFORMS,

Abstract

IN THIS PAPER MATHEMATICAL MODEL OF A MECHANICAL SYSTEM CONSISTING OF A PLATE AND EITHER ONE OR TWO BEAMS IS DERIVED. OBTAINED PDES ARE REDUCED TO ODES, AND THEN STUDIED MAINLY USING THE FAST FOURIER AND WAVELET TRANSFORMS. A FEW EXAMPLES OF THE CHAOTIC SYNCHRONIZATIONS ARE ILLUSTRATED AND DISCUSSED.

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Published

2012-11-22

Issue

Vol. 10 No. 1 (2013)

Section

Articles

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