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The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit
Ergodic Theory and Dynamical Systems, 1994AbstractDeng has demonstrated a mechanism through which a perturbation of a vector field having an inclination-flip homoclinic orbit would have a Smale horseshoe. In this article we prove that if the eigenvalues of the saddle to which the homoclinic orbit is asymptotic satisfy the condition 2λu > min{−λs, λuu} then there are arbitrarily small ...
HOMBURG, AJ, KOKUBU, H, KRUPA, M
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Heavy Atom-Induced Spin-Orbit Coupling to Quench Singlet Oxygen in a Li-O2 Battery.
Journal of the American Chemical SocietyLi-O2 batteries have aroused considerable interest due to high theoretical energy density; however, the singlet oxygen (1O2) generated in both discharge and charge processes induces severe parasitic reactions and leads to their low round-trip efficiency ...
Zhuoliang Jiang +5 more
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Strange attractor in the unfolding of an inclination-flip homoclinic orbit
Ergodic Theory and Dynamical Systems, 1996AbstractWe study the unfolding of a smooth vector-fieldXon ℝ3having a homoclinic orbit to a hyperbolic equilibrium point with three real eigenvalues satisfying − λss< λs< 0 < λuWe say that Γ is an inclination-flip homoclinic orbit if the extended unstable manifold at the equilibrium point is, along Γ, non-transverse to the stable manifold and ...
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Bifurcation Complexity from Orbit-Flip Homoclinic Orbit of Weak Type
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2016Qiuying Lu, V. Naudot
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On inclination-flip homoclinic orbit associated to a saddle-node singularity
Boletim da Sociedade Brasileira de Matem�tica, 1996The author studies the bifurcation of vector fields through a saddle-node equilibrium point with an unstable homoclinic orbit. The study is made in the setting of two parameters perturbations of the vector fields \((X_{\mu})_{\mu\in\mathbb{R}^2}\) and in the case that \(X_{(0,0)}\) exhibits an inclination-flip homoclinic orbit associated to the ...
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Heterodimensional Cycle bifurcation with Orbit-Flip
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2010Qiuying Lu +3 more
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Bifurcations of heterodimensional cycles with one orbit flip and one inclination flip
, 2010Yancong Xu, Deming Zhu
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International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2004
Tiansi Zhang, Deming Zhu
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Tiansi Zhang, Deming Zhu
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MULTIPLE HOMOCLINIC BIFURCATIONS FROM ORBIT-FLIP I: SUCCESSIVE HOMOCLINIC DOUBLINGS
, 1996H. Kokubu, M. Komuro, H. Oka
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