Multipulse chaotic dynamics for a laminated composite piezoelectric plate

DOI10.1155/2011/148906zbMath1213.74211OpenAlexW1992072892WikidataQ58692367 ScholiaQ58692367MaRDI QIDQ541437

Wei Zhang, Jun Hua Zhang

Publication date: 7 June 2011

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228592

Mathematics Subject Classification ID

Plates (74K20) Dynamical systems in solid mechanics (37N15) Electromagnetic effects in solid mechanics (74F15)

Cites Work

• Multi-pulse chaotic dynamics of non-autonomous nonlinear system for a laminated composite piezoelectric rectangular plate
• The extended Melnikov method for non-autonomous nonlinear dynamical systems and application to multi-pulse chaotic dynamics of a buckled thin plate
• Periodic and chaotic dynamics of composite laminated piezoelectric rectangular plate with one-to-two internal resonance
• Orbits homoclinic to resonances, with an applications to chaos in a model of the forced and damped sine-Gordon equation
• A Melnikov method for homoclinic orbits with many pulses
• Computation of normal forms for high dimensional non-linear systems and application to non-planar non-linear oscillations of a cantilever beam