Bifurcation Theory of Dynamical Systems
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...
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| Format: | Others |
| Language: | en_US |
| Published: |
2001
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| Online Access: | http://ndltd.ncl.edu.tw/handle/05215840024016157958 |
| Summary: | 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 .
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