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The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit

Ergodic Theory and Dynamical Systems, 1994
AbstractDeng 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
openaire   +3 more sources

Heavy Atom-Induced Spin-Orbit Coupling to Quench Singlet Oxygen in a Li-O2 Battery.

Journal of the American Chemical Society
Li-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
semanticscholar   +1 more source

Strange attractor in the unfolding of an inclination-flip homoclinic orbit

Ergodic Theory and Dynamical Systems, 1996
AbstractWe 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 ...
openaire   +1 more source

Bifurcation Complexity from Orbit-Flip Homoclinic Orbit of Weak Type

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2016
Qiuying Lu, V. Naudot
semanticscholar   +1 more source

On inclination-flip homoclinic orbit associated to a saddle-node singularity

Boletim da Sociedade Brasileira de Matem�tica, 1996
The 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 ...
openaire   +1 more source

Heterodimensional Cycle bifurcation with Orbit-Flip

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2010
Qiuying Lu   +3 more
semanticscholar   +1 more source

Design of high-speed, low-power non-volatile master slave flip flop (NVMSFF) for memory registers designs

Applied Nanoscience, 2023
K. Muthappa   +7 more
semanticscholar   +1 more source

Codimension 3 homoclinic bifurcation of Orbit flip with Resonant eigenvalues Corresponding to the Tangent Directions

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2004
Tiansi Zhang, Deming Zhu
semanticscholar   +1 more source

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