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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ndltd-TW-089CCU005070012016-07-06T04:10:03Z http://ndltd.ncl.edu.tw/handle/05215840024016157958 Bifurcation Theory of Dynamical Systems (連續型)動態系統的分歧理論 Ho Shih Chi 何詩琦 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 . 林長壽 2001 學位論文 ; thesis 35 en_US |
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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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author2 |
林長壽 |
author_facet |
林長壽 Ho Shih Chi 何詩琦 |
author |
Ho Shih Chi 何詩琦 |
spellingShingle |
Ho Shih Chi 何詩琦 Bifurcation Theory of Dynamical Systems |
author_sort |
Ho Shih Chi |
title |
Bifurcation Theory of Dynamical Systems |
title_short |
Bifurcation Theory of Dynamical Systems |
title_full |
Bifurcation Theory of Dynamical Systems |
title_fullStr |
Bifurcation Theory of Dynamical Systems |
title_full_unstemmed |
Bifurcation Theory of Dynamical Systems |
title_sort |
bifurcation theory of dynamical systems |
publishDate |
2001 |
url |
http://ndltd.ncl.edu.tw/handle/05215840024016157958 |
work_keys_str_mv |
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1718337083813134336 |