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LOCAL CONNECTIVITY OF JULIA SETS AND BIFURCATION LOCI:THREE THEOREMS OF J.-C. YOCCOZ
LOCAL CONNECTIVITY JULIA SETS BIFURCATION LOCI THREE THEOREMS OF J.-C. YOCCOZ
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2015/8/26
This paper consists of three parts, each devoted to a result due to J.-C. Yoccoz.The proofs are all somewhat modied, but they are also deeply in!uenced byYoccoz's work.
The structure and evolution of confined tori near a Hamiltonian Hopf Bifurcation
Chaos and Dynamical Systems 4D surfaces of section Hopf Bifurcation Galactic
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2011/3/2
We study the orbital behavior at the neighborhood of complex unstable periodic orbits in a 3D
autonomous Hamiltonian system of galactic type. At a transition of a family of periodic orbits
from stab...
The structure and evolution of confined tori near a Hamiltonian Hopf Bifurcation
Chaos and Dynamical Systems 4D surfaces of section Hopf Bifurcation
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2010/12/28
We study the orbital behavior at the neighborhood of complex unstable periodic orbits in a 3D
autonomous Hamiltonian system of galactic type. At a transition of a family of periodic orbits
from stab...
Euler characteristic of the bifurcation set for a polynomial of degree 2 or 3
Euler characteristic the bifurcation set polynomial
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2010/11/11
Assume that the coefficients of a polynomial in a complex variable are Laurent polynomials in some complex parameters. The parameter space (a complex torus) splits into strata corresponding to differ...
The Unfolding of Equivariant Bifurcation Problems with Two Types of State Variables in the Presence of Parameters Symmetry
equivariant bifurcation problems versal unfolding ${\mathscr K}(\Gamma \Delta)$-equivalence
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2007/12/11
The unfolding of equivariant bifurcation problems with two types of state variables under the action of group ${\mathscr K}(\Gamma,\Delta)$ is discussed by using DA-algebraic tools. One of the main re...
EXISTENCE OF MULTIPLE SOLUTIONS AND BIFURCATION FOR CRITICAL SEMILINEAR BIHARMONIC EQUATIONS
Biharmonic equation critical exponent mu
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2007/8/7
We inverstigate in this paper the existence problem for a critical semilinear biharmonic problem defined on a bounded domain.It is verified that the Palais-Smale condition holds true in certain interv...
Homoclinic bifurcation of strongly nonlinear oscillators by frequency-incremental method
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2007/7/28
专著信息
书名
Homoclinic bifurcation of strongly nonlinear oscillators by frequency-incremental method
语种
英文
撰写或编译
作者
Zhang Y.M.,Lu Q.S
第一作者单位
出版社
Comm. Nonlinear Sci. Numer. Simulation, 2003, 8, 1-7 (EI)
出...