Results 81 to 90 of about 2,509 (113)

Chaos from Orbit-Flip Homoclinic Orbits Generated in a Practical Circuit

Physical Review Letters, 1995
A new class of chaotic systems is generated in a practical, nonlinear, mutually coupled phase-locked loop (PLL) circuit. Theoretical results make it possible to understand experimental results of such PLL's on the onset of chaos using the geometry of the invariant manifolds, while the resultant simple geometry and complex dynamics is expected to have ...
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Homoclinic Bifurcation of Orbit Flip with Resonant Principal Eigenvalues

Acta Mathematica Sinica, English Series, 2005
The authors consider the general 4-dimensional system in a resonant orbit flip situation. The resonance takes place between the two principal eigenvalues. This is a kind of codimension-3 bifurcation. The authors obtain the existence, number, coexistence of the 1-homoclinic orbit, 1-periodic orbit and 2-homoclinic orbit, etc.
Zhang, Tiansi, Zhu, Deming
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Bifurcation analysis of the multiple flips homoclinic orbit

Chinese Annals of Mathematics, Series B, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Tiansi, Zhu, Deming
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MULTIPLE HOMOCLINIC BIFURCATIONS FROM ORBIT-FLIP I: SUCCESSIVE HOMOCLINIC DOUBLINGS

International Journal of Bifurcation and Chaos, 1996
The purpose of this and forthcoming papers is to obtain a better understanding of complicated bifurcations for multiple homoclinic orbits. We shall take one particular type of codimension two homoclinic orbits called orbit-flip and study bifurcations to multiple homoclinic orbits appearing in a tubular neighborhood of the original orbit-flip. The main
Kokubu, Hiroshi, Komuro, Motomasa, Oka, Hiroe   +2 more
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Degenerate bifurcations of heterodimensional cycle with orbit flip and inclination flip

SCIENTIA SINICA Mathematica, 2013
We study the heterodimensional cycle with orbit flip and inclination flip in four-dimensional system. By setting up a new local coordinate system in small tubular neighborhood of unperturbed heterodimensional cycle, we construct a Poincare return map and further obtain the bifurcation equations.
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Bifurcations of double homoclinic flip orbits with resonant eigenvalues

Applied Mathematics and Mechanics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Tian-Si, Zhu, De-Ming
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Effect of spin-orbit and spin-flip scattering on conductance fluctuations

Physical Review B, 1990
We discuss the effect of the spin-dependent scattering on conductance fluctuations in the regime where the spin-orbit scattering length ${\mathit{l}}_{\mathrm{so}}$ and the magnetic spin-flip scattering length ${\mathit{l}}_{\mathit{S}}$ are comparable to the electron-phase-breaking length ${\mathit{l}}_{\mathrm{\ensuremath{\varphi}}}$.
, Chandrasekhar, , Santhanam, , Prober
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Bifurcation of rough heteroclinic loop with orbit and inclination flips

Nonlinear Analysis: Real World Applications, 2009
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Qiao, Zhiqin, Lu, Qiuying, Zhu, Deming
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Spin-Orbit Induced Spin-Flip Scattering by a Local Moment

Journal of Applied Physics, 1971
The spin-orbit-induced spin-flip cross section presented to a conduction electron by a 3d impurity having a local moment is calculated. The Anderson model is treated in Hartree-Fock (HF) approximation. The difference from the nonmagnetic case is that the total angular momentum j is not a good quantum number so that one cannot use its eigenstates to ...
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Engineered platforms for topological superconductivity and Majorana zero modes

Nature Reviews Materials, 2021
Karsten Flensberg, Felix von Oppen, Ady Stern   +2 more
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