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BIFURCATION OF ROUGH HETEROCLINIC LOOP WITH ORBIT FLIPS
International Journal of Bifurcation and Chaos, 2012In this paper, heteroclinic loop bifurcations with double orbit flips are investigated in four-dimensional vector fields. We obtain the bifurcation equations by setting up a local coordinate system near the rough heteroclinic orbit and establishing the Poincaré map.
Liu, Xingbo, Wang, Zhenzhen, Zhu, Deming
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Degenerate Orbit Flip Homoclinic Bifurcations with Higher Dimensions
Acta Mathematica Sinica, English Series, 2006For higher dimensional systems, bifurcations of a degenerate homoclinic orbit with orbit flip are studied. By establishing local coordinates near the homoclinic orbit, conditions are given sufficient for the existence and uniqueness of a 1-homoclinic orbit and a 1-periodic orbit.
Wu, Ran Chao, Sun, Jian Hua
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Orbit flip magnetic transitions
Nuclear Physics, 1962Abstract In well deformed nuclei it sometimes happens that a magnetic transition between two nuclear single particle (Nilsson) states depends only on the orbit flip of the particle. Two M4 transitions, one in Hf179 and one in Yb177, which correspond to such a case were investigated and were found to be inhibited by factors of 2000 and more than 500 ...
H. Morinaga, K. Takahashi
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DEGENERATE BIFURCATIONS OF HETERODIMENSIONAL CYCLES WITH ORBIT FLIP
International Journal of Bifurcation and Chaos, 2013In this paper, nongeneric bifurcation analysis near heterodimensional cycles with orbit flip is investigated for three-dimensional systems. With the aid of a suitable local coordinate system, the Poincaré map is constructed. By means of the bifurcation equations, the existence, nonexistence, coexistence and uniqueness of homoclinic orbit, periodic ...
Liu, Xingbo, Liu, Junying, Zhu, Deming
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Heterodimensional cycle bifurcation with two orbit flips
Nonlinear Dynamics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Xingbo, Xu, Yancong, Wang, Sisi
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