Multipulse Chaotic Dynamics of Six-Dimensional Nonautonomous Nonlinear System for a Honeycomb Sandwich Plate

DOI10.1142/S0218127414501387zbMath1304.34089OpenAlexW2070101797MaRDI QIDQ5496765

Minghui Yao, Wei Zhang, Wangli Hao

Publication date: 28 January 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127414501387

zbMATH Keywords

extended Melnikov methodmultipulse chaossix-dimensional nonautonomous nonlinear systemthe honeycomb sandwich rectangular plate

Mathematics Subject Classification ID

Plates (74K20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Various Bifurcation Phenomena in a Nonlinear Curved Beam Subjected to Base Harmonic Excitation ⋮ Stability and Bifurcation in Discrete Mechanical Systems: An Experimental and Analytical Study ⋮ Coexistence of bistable multi-pulse chaotic motions with large amplitude vibrations in buckled sandwich plate under transverse and in-plane excitations ⋮ Subharmonic Melnikov theory for degenerate resonance systems and its application ⋮ Nonlinear primary resonance with \(1:3:6\) internal resonances of the symmetric rectangular honeycomb sandwich panels

Cites Work

• Unnamed Item
• Multi-pulse jumping orbits and homoclinic trees in motion of a simply supported rectangular metallic plate
• Multi-pulse orbits dynamics of composite laminated piezoelectric rectangular plate
• A study of nonlinear dynamic equations of higher-order shear deformation plate theories
• 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
• Chaotic vibrations of an orthotropic FGM rectangular plate based on third-order shear deformation theory
• Nonlinear dynamics of angle-ply composite laminated thin plate with third-order shear deformation
• 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
• Orbits homoclinic to resonances: The Hamiltonian case
• Two-mode response of simply supported, rectangular laminated plates
• Homoclinic orbit in a six-dimensional model of a perturbed higher-order nonlinear Schrödinger equation.
• Multipulse orbits in the motion of flexible spinning discs
• Multi-pulse jumping orbits and homoclinic trees in a modal truncation of the damped-forced nonlinear Schrödinger equation
• The effects of non-periodic microstructure on the elastic properties of two-dimensional cellular solids
• Geometry and chaos near resonant equilibria of 3-DOF Hamiltonian systems
• Global bifurcations of a simply supported rectangular metallic plate subjected to a transverse harmonic excitation
• Multi-pulse chaotic dynamics of non-autonomous nonlinear system for a honeycomb sandwich plate
• Nonlinear vibrations of FGM rectangular plates in thermal environments
• Local and global nonlinear dynamics of a parametrically excited rectangular symmetric cross-ply laminated composite plate
• Nonlinear oscillations and chaotic dynamics of an antisymmetric cross-ply laminated composite rectangular thin plate under parametric excitation
• NONLINEAR VIBRATIONS OF RECTANGULAR LAMINATED COMPOSITE PLATES WITH DIFFERENT BOUNDARY CONDITIONS
• THEORIES OF MULTI-PULSE GLOBAL BIFURCATIONS FOR HIGH-DIMENSIONAL SYSTEMS AND APPLICATION TO CANTILEVER BEAM
• Non-Linear Vibration Analysis Of Arbitrarily Laminated Thin Rectangular Plates On Elastic Foundations
• Multi-bump orbits homoclinic to resonance bands
• FURTHER STUDIES ON NONLINEAR OSCILLATIONS AND CHAOS OF A SYMMETRIC CROSS-PLY LAMINATED THIN PLATE UNDER PARAMETRIC EXCITATION

This page was built for publication: Multipulse Chaotic Dynamics of Six-Dimensional Nonautonomous Nonlinear System for a Honeycomb Sandwich Plate