Phase synchronization of two coupled chaotic systems with internal resonance;

Nonlinear vibration of functionally graded material plate under different internal resonances

The first-order approximate dynamic equations were obtained through analysis on the mathematical model of nonlinear absorber with internal resonance.

The result shows that the vibration isolation performance of " room in room" structure is significantly lower on the high-frequency wave,because of the effect of internal resonance and non-rigid base.

Particular attention was paid to the fundamental, subharmonic resonance with internal resonance under the condition ω20/ω10≈3 as ω is near ω10,.

By a newly developed method for finding the normal form, this paper deduces the normal form for the mutiple Hopf bifurcations of a high dimensional nonlinear dynamical system in noninternal resonance cases when its Jacobian matrix has many pairs of imaginary eigenvalues, and gives the expressions of the coefficients in the normal form by those inthe original system.

It is found that the energy band of the well slab submerged into the band gap of barrier slab is discretized into resonant modes and the number of the resonant modes changes with the well slab thickness.

As a weak disorder is introduced, there will be a resonant mode in the gap, and electromagnetic waves with resonant mode frequency can propagate in the structure, while they can not propagate in the one with no disorder.

Guided-mode resonance analysis of compressed grating with periodic stack structure;

Guided-mode resonance reflection filters are presented by adding a buffer layer in designing homogeneous thin-film reflection filters for studying the influence of buffer layer on reflection spectra of the guided-mode resonance filters.