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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 ...
V. Naudot
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CODIMENSION 3 BIFURCATIONS OF HOMOCLINIC ORBITS WITH ORBIT FLIPS AND INCLINATION FLIPS

Chinese Annals of Mathematics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shui, Shuliang, Zhu, Deming
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Bifurcation of rough heteroclinic loop with orbit and inclination flips

Nonlinear Analysis: Real World Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiao, Zhiqin, Lu, Qiuying, Zhu, Deming
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Codimension 3 nonresonant bifurcations of homoclinic orbits with two inclination flips

Science in China Series A, 2005
Homoclinic bifurcations in four-dimensional vector fields are investigated by setting up a local coordinate near a homoclinic orbit. This homoclinic orbit is principal but its stable and unstable foliations take inclination flip. The existence, nonexistence, and uniqueness of the 1-homoclinic orbit and 1-periodic orbit are studied. The existence of the
Shuliang Shui, Deming Zhu
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Inclination-Flips in the Unfolding of a Singular Heteroclinic Cycle

Chaos, Solitons & Fractals, 2000
We study bifurcations from a singular heteroclinic cycle in ℝ3. This heteroclinic cycle contains a hyperbolic singularity and a saddle-node. At the saddlenode, the linearized vector field has two complex conjugate eigenvalues in addition to an eigenvalue 0.
HOMBURG, AJ, KOKUBU, H, KRUPA, M
  +9 more sources

Investigation of Buried-Well Potential Perturbation Effects on SEU in SOI DICE-Based Flip-Flop Under Proton Irradiation

IEEE Transactions on Nuclear Science, 2021
The effects of buried-well potential perturbation under the buried-oxide (BOX) layer are studied in both a heavy-ion single event upset (SEU) test and a high-energy proton-SEU test of a silicon-on-insulator (SOI) dual interlocked storage cell (DICE ...
K. Sakamoto   +12 more
semanticscholar   +1 more source

Biomimetic Flip-and-Flap Strategy of Flying Objects for Perching on Inclined Surfaces

IEEE Robotics and Automation Letters, 2021
Animals can use the maneuver of a flipping body and flapping wings to reduce the normal rebound force of impact during landing, decreasing the adsorption force required by the contact point. This capability aids aerial vehicles with landing not only on vertical surfaces, but also on inclined surfaces.
Zhifeng Huang   +5 more
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Codimension 2 reversible heteroclinic bifurcations with inclination flips

Science in China Series A: Mathematics, 2009
The authors consider a four-dimensional system \(\dot{z}=g(z,\mu)\) where \(g\in \mathbb{C}^r\) with \(r\geq 5\) and \(\mu\in {\mathbb R}^l\), \(l>3\) is a small parameter. It is assumed that the system has two fixed points \(p_1(\mu)\) and \(p_2(\mu)\) having in local coordinates the linearizations \[ \dot{x}=\lambda_1^i(\mu)x,\;\; \dot{y}=-\lambda_1 ...
Xu, YanCong, Zhu, DeMing, Deng, GuiFeng
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Vibration characteristics of an inclined flip-flow screen panel in banana flip-flow screens

Journal of Sound and Vibration, 2017
Abstract A banana flip-flow screen is an effective solution for the screening of high-viscosity, high-water and fine materials. As one of the key components, the vibration characteristics of the inclined flip-flow screen panel largely affects the screen performance and the processing capacity.
Xiaoyan Xiong   +3 more
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Development of Inclined Conductive Bump for Flip-Chip Interconnection

IEEE Transactions on Components, Packaging and Manufacturing Technology, 2015
In this paper, inclined conductive bumps (ICBs) are proposed as a substitute for the anisotropic conductive film (ACF). The new interconnection method ICBs can provide controlled bump deformation, uniform electrical conductivity, and fine pitch interconnection without short circuit.
Park, AY Park, Ah-Young   +2 more
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