Bifurcation Theory of Dynamical Systems

• Main Authors: Ho Shih Chi, 何詩琦
• Other Authors: 林長壽
• Format: Others
• Language: en_US
• Published: 2001
• Online Access: http://ndltd.ncl.edu.tw/handle/05215840024016157958

碩士 === 國立中正大學 === 應用數學研究所 === 89 === In Chapter 1 : Define Fold and Hopf bifurcations , which are both locally bifurcations to its nonhyperbolic equilibrium , and introduce their Normal Forms with proof . In chapter 2 : Introduce one parameter dependent systems of 2-dimensional and 3-dimensional Homoclinic bifurcations , which are both a global bifurcation to its orbits , and show that there will generates a limit cycle while the homoclinic bifurcation is happening . In Chapter 3 : Choose an example -- the two parameter dependent system with double zero eigenvalues equilibrium -- to formulate how to discuss it by one parameter dependent systems we known .