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中文摘要：
高维非线性系统的复杂动力学理论和应用研究是目前国际上非线性动力学领域的前沿课题，已经引起了各个领域科学家们的广泛关注。本项目主要研究高维非线性系统动力学理论及在机械结构中的应用，结合一些工程结构中具有典型意义的高维非线性动力学模型，发展相应的适用研究方法。初步建立一套研究高维近可积自治非线性系统和高维近可积非自治非线性系统多脉冲全局分叉和Shilnikov型混沌动力学的新全局摄动方法。研究高维非线性系统规范形的计算。发展用于研究多自由度非线性系统复杂响应的近似解析方法。发展适用于研究多自由度随机非线性系统的改进的高性能增维精细积分方法。研究功能梯度材料和压电复合材料薄板和壳的复杂非线性响应、多脉冲全局分叉和Shilnikov型混沌动力学。研究流固耦合柔性结构的复杂非线性动力学、多脉冲全局分叉和Shilnikov型混沌动力学。进行高维非线性系统复杂动力学的实验研究。
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期刊论文
The extended Melnikov method for non-autonomous nonlinear dynamical systems and application to multi
Global bifurcations and chaotic dynam
-ics for a rotor-active magnetic bearing system with time-vary
Bifurcation analysis of bursting solutions of two Hindmarsh-Rose neurons with joint electrical and s
Resonant chaotic motions of a buckled rectangular thin plate with parametrically and externally exci
On asymptotic analysis for large amplitude nonlinear free vibration of simply supported laminated pl
Periodic solutions for multi-degree
-of-freedom strongly nonlinear coupled van der Pol oscillators b
Nonlinear dynamic response of functionally graded rectangular plates under different internal resona
Convergence and stability of the split-step backward Euler method for linear stochastic delay integr
Research on periodic and chaotic oscil- lation of composite laminated plates with one-to-one interna
Nonlinear study of the dynamic behavior of a string-beam coupled system under external, parametric a
Study on asymptotic analytical solutions using HAM for strongly nonlinear vibrations of a restrained
Nonlinear dynamic response of a simply supported rectangular functionally graded material plate unde
Periodic solutions for n-dimensional generalized Li′enard type p-Laplacian functional differential s
Chaotic vibrations of an orthotropic FGM rectangular plate based on third-order shear deformation th
Multi-pulse chaotic dynamics of a functionally graded material rectangular plate with one-to-one int
Nonlinear dynamic characteristics of semi-active suspension system with SMA spring based on hysteret
An improved way of detecting the threshold value of chaotic motion on a parametrical excited rectang
Multi-pulse chaotic dynamics of non-autonomous nonlinear system for a laminated composite piezoelect
会议论文
Global Bifurcations and multipulse type chaotic dynamics in the interactions of two flexural modes o
Multi-pulse heteroclinic orbits and chaotic dynamics of laminated composite piezoelectric rectangula
Multi-pulse homoclinic orbits and chaotic dynamics of the cantilevered pipe conveying pulsating flui
Periodic solutions for the coupled van der Pol oscillators of two-degree-of-freedom solved by homoto
Global bifurcations and multipulse chaotic dynamics for functionally graded materials rectangular pl
Global bifurcation and multipulse type chaotic dynamics in the nonlinear nonplanar oscillations of a
Periodic solutions for multi-degree-of -freedom nonlinear dynamic system solved by the extended homo
The extended homotopy analysis method for multi-degree-of-freedom nonlinear dynamical systems and ap
The extended Melnikov method for non-autonomous higher dimensional nonlinear systems and multi-pulse
Periodic and chaotic oscillations of composite laminated thin plate with third-order shear deformati
Experimental investigation on chaotic vibration of cantilever beam subjected to base in-plane excita
A new kind of energy transfer from the high-frequency to low-frequency mode in a composite laminated
Using the extended Melnikov method to study the multi-pulse global bifurcations and chaos of a compo
Multi-pulse orbits with a Melnikov method and chaotic dynamics in motion of composite laminated rect
Computation of the simplest normal form for the singularity of two non-semisimple double zero eigenv
Nonlinear vibration of the cantilever fgm plate based on the third-order shear deformation plate the
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