Chaos near a resonant inclination-flip [PDF]
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Fontaine, Marcus +2 more
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Bifurcation of a heterodimensional cycle with weak inclination flip
Local moving frame is constructed to analyze the bifurcation of a heterodimensional cycle with weak inclination flip in $\mathbb{R}^4$. Under some generic hypotheses, the existence conditions for the heteroclinic orbit, $1$-homoclinic orbit, $1$-periodic orbit and two-fold or three-fold $1$-periodic orbit are given, respectively.
Zhiqin Qiao, Deming Zhu, Qiuying Lu
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Bifurcations of Orbit and Inclination Flips Heteroclinic Loop with Nonhyperbolic Equilibria [PDF]
The bifurcations of heteroclinic loop with one nonhyperbolic equilibrium and one hyperbolic saddle are considered, where the nonhyperbolic equilibrium is supposed to undergo a transcritical bifurcation; moreover, the heteroclinic loop has an orbit flip and an inclination flip.
Fengjie Geng, Junfang Zhao
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A topological approach to stability of pulses bifurcating from an inclination-flip homoclinic orbit [PDF]
The paper deals with the linear stability problem of multiple pulse solutions of a parabolic system, which bifurcate from an inclination-flip homoclinic orbit. A topological approach is applied to the eigenvalue problem and a relation between the distribution of the eigenvalues and the geometry of the homoclinic orbits is proven.
Shunsaku Nii
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Codimension-4 resonant homoclinic bifurcations with orbit flips and inclination flips
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Zhang, Tian Si, Zhu, De Ming
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Nongeneric bifurcations near heterodimensional cycles with inclination flip in $\mathbb{R}^4$
Nongeneric bifurcation analysis near rough heterodimensional cycles associated to two saddles in $\mathbb{R}^4$ is presented under inclination flip. By setting up local moving frame systems in some tubular neighborhood of unperturbed heterodimensional cycles, we construct a Poincare return map under the nongeneric conditions and further obtain the
Dan Liu, Shigui Ruan, Deming Zhu
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Degenerated singular cycles of inclination-flip type1 [PDF]
C MORALES, M PACIFICO
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The aim of this study was to perform a three-dimensional evaluation of Herbst appliance effects on the mandibular canines.The subjects consisted of 23 Class II:1 patients (12 men, 11 women), mean age of 15.76± 1.75 years, consecutively treated with a ...
J. P. Schwartz +3 more
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A Novel Kinematics Model of Flip-Flow Screen Panel: Inclined Catenary Model
A flip-flow screen can effectively screen viscous particles, and its kinematic characteristics determine its screening performance. Since previous kinematic models have errors, a novel kinematics model of the flip-flow screen panel, namely the inclined catenary model, is developed.
Jingfeng Fan +3 more
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Saddle Invariant Objects and Their Global Manifolds in a Neighborhood of a Homoclinic Flip Bifurcation of Case B [PDF]
When a real saddle equilibrium in a three-dimensional vector field undergoes a homoclinic bifurcation, the associated two-dimensional invariant manifold of the equilibrium closes on itself in an orientable or nonorientable way, provided the corresponding
A. Giraldo, B. Krauskopf, H. Osinga
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