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Bifurcations of Orbit and Inclination Flips Heteroclinic Loop with Nonhyperbolic Equilibria [PDF]
The Scientific World Journal, 2014 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 ...
Fengjie Geng, Junfang Zhao
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Chaos near a resonant inclination-flip [PDF]
Physica D: Nonlinear Phenomena, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
William D Kalies, Vincent Naudot
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Resonant Homoclinic Bifurcations with Orbit Flips and Inclination Flips
Applied Mathematics, 2013 Homoclinic bifurcation with one orbit flip, two inclination flips and resonance in the tangent directions of homoclinic orbit is considered. By studying the associated successor functions constructed from a local active coordinate system, we prove the existence of double 1-periodic orbit, 1-homoclinic orbit, and also some coexistence conditions of 1 ...
Tiansi Zhang
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Bifurcation of a heterodimensional cycle with weak inclination flip
Discrete and Continuous Dynamical Systems - Series B, 2012 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.
Deming Zhu, Qiuying Lu
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A topological approach to stability of pulses bifurcating from an inclination-flip homoclinic orbit [PDF]
Methods and Applications of Analysis, 2000 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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Nongeneric bifurcations near heterodimensional cycles with inclination flip in $\mathbb{R}^4$
Discrete and Continuous Dynamical Systems - Series S, 2011 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
Shigui Ruan, Deming Zhu
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Resonant Homoclinic Flips Bifurcation in Principal Eigendirections
Abstract and Applied Analysis, 2013 A codimension-4 homoclinic bifurcation with one orbit flip and one inclination flip at principal eigenvalue direction resonance is considered. By introducing a local active coordinate system in some small neighborhood of homoclinic orbit, we get the ...
Tiansi Zhang, Xiaoxin Huang, Deming Zhu
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Degenerated singular cycles of inclination-flip type1 [PDF]
Annales Scientifiques de l’École Normale Supérieure, 1998 C. A. Morales, Maria José Pacífico
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Acta Scientiarum. Health Sciences, 2023 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 ...
João Paulo Schwartz +3 more
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Heads or tails: do stranded fish (mosquitofish, Gambusia affinis) know where they are on a slope and how to return to the water? [PDF]
PLoS ONE, 2014 Aquatic vertebrates that emerge onto land to spawn, feed, or evade aquatic predators must return to the water to avoid dehydration or asphyxiation. How do such aquatic organisms determine their location on land?
Robert J Boumis +3 more
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