本书的重点是基于向量场和一元二次函数的非线性动力学。本书从不同视角研究非线性动力学和二次动力系统的分岔。二维动力系统是非线性动力学中最简单的动力系统之一,但二维二次系统中平衡点和流的局部与全局结构有助于我们理解其他非线性动力系统,这也是解决希尔伯特第十六问题的关键一步。本书详细探论了二维二次系统可能存在的奇异动力学问题;介绍了二维系统中平衡态和一维流的动力学;讨论了鞍形汇和鞍形源分岔,给出了鞍形中心分岔;提出了无限平衡态是非线性系统的开关分岔;从第一类积分流形出发,发展了鞍焦点网络,并给出了鞍、源和汇网络。 本书可作为动力系统和控制专业的参考书,适合数学、机械和电气工程领域的研究人员、学生和工程师阅读参考。
Your hands-on study guide to the inner world of the cell Need to get a handle on molecular and cell biology? Thiseasy-to-understand guide explains the structure and function of thecell and how recombinant DNA technology is changing the face ofscience and medicine. You discover how fundamental principles andconcepts relate to everyday life. Plus, you get plenty of studytips to improve your grades and score higher on exams! Explore the world of the cell — take a tour inside the structureand function of cells and see how viruses attack and destroythem Understand the stuff of life (molecules) — get up to speed on thestructure of atoms, types of bonds, carbohydrates, proteins, DNA,RNA, and lipids Watch as cells function and reproduce — see how cellscommunicate, obtain matter and energy, and copy themselves forgrowth, repair, and reproduction Make sense of genetics — learn how parental cells organize theirDNA during sexual reproduction and how scientists can predictinheritance