MULTI-SCROLL HYPERCHAOTIC SYSTEM BASED ON COLPITTS MODEL AND ITS CIRCUIT IMPLEMENTATION

Based on the framework of Colpitts oscillator, a four-dimensional multi-scroll hyperchaotic system is proposed, which generates (2M+1)×(2N+1)-scroll chaotic and hyperchaotic attractors. The key strategy is to increase the number of index-2 equilibrium points by introducing two unit saw-tooth functions to extend and modify the Colpitts oscillator model. By using bifurcation diagram and phase portrait, the dynamical characteristics of the multi-scroll hyperchaotic system are briefly studied. Moreover, micro-controller based circuit realization is introduced and the experimental results dem-onstrate that 7×5-scroll chaotic and hyperchaotic attractors can be obtained in the digital circuit.

断裂基因转录原理在曲线锯形态设计中的应用

目的为满足电动工具企业对品牌识别的需求,将生物学断裂基因转录原理应用到产品形态设计过程中以实现电动工具产品的迭代更新,加强产品的家族化特征和品牌识别性。方法分析企业目标产品族的基本形态基因,利用平面绘图软件提取早期产品造型的轮廓线,形成该产品的形态基因图谱,基于断裂基因转录的剪接机制和电动工具迭代中形态基因筛减过程的相似之处,运用设计形态分析法和聚类分析将形态基因分为3类,即典型基因、次典型基因和一般基因,其中典型基因和次典型基因组合形成产品基因框架体。以产品基因框架体为基础,以形状文法为推演方法,基于建立的品牌特征识别的规则约束,创造出新产品的形态基因图谱以指导产品迭代,最后通过李克特量表对新旧形态基因图谱进行评估验证。结果提出了基于断裂基因转录原理的迭代设计理论与方法,通过形状文法创造出具有家族识别特征的新形态基因图谱。结论以东达品牌曲线锯设计为例,根据李克特量表的相关统计数据显示,新形态基因图谱优于旧形态基因图谱,验证了该方法的可行性。