本项目以非晶合金为代表，拟研究一类无序结构材料塑性变形的Burridge-Knopoff系统的动力学行为。目前，此类弹簧-滑块系统尚存在很多未充分掌握的复杂行为。考虑到非晶合金塑性变形机理研究尚缺乏完善的动力学理论支撑，本项目首先建立考虑温度影响的塑性动力学模型。在系统的剪切抵抗项中引入小的扰动参数，研究塑性动力系统在Smale马蹄存在意义下的混沌存在性及多尺度行为。另外，本项目拟研究参数在周期扰动下BK系统的分岔、混沌及动力学行为的转变机理。通过理论分析确定具体的参数范围，使材料在服役中达到较高的塑性。本项目的开展将进一步明确非晶合金塑性压缩变形动力学行为及动力学行为转变的内在机理，有助于逐步构建和完善无序结构材料压缩塑性变形这一研究领域。同时，通过研究参数扰动下系统的分岔、混沌、自组织临界及多尺度行为等问题，可为 Burridge-Knopoff 系统的研究提供新的理论参考。

The project is concerned with the dynamical behavior of Burridge-Knopoff system for plastic deformation in disordered materials, for which the bulk metal glass was selected as the representative material. So far this kind of Spring-Block model is lack of perfect dynamical theory. Considering the research on the mechanism of the plastic deformation for bulk metal glass is lack of perfect theory support, we will establish the temperature influenced plastic models. We introduce small parameter perturbation in the nonlinear shear resistance of the system, and then we study the chaos state based on the existence of Smale horseshoe and the multiscale behavior. In addition，the project is concerned with the bifurcation, chaos and the dynamics transition in Burridge-Knopoff system under periodic parameter perturbation. Based on all above analysis, we give specific range of parameter so that the material reaches the best plasticity on active service. The work of the project will make a more clear understanding of the dynamics of the plastic compressive deformation behavior and dynamic behavior transition mechanism, which is helpful for the research on the disordered structure material compression plasticity dynamics. Meanwhile, the study about the bifurcation, chaos, self-organized criticality and multiscale behavior in the system with parameter perturbation will provide new theoretical reference for the research of Burridge-Knopoff system.