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Inclination-flip homoclinic orbits arising from orbit-flip
Nonlinearity, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Morales, C. A., Pacifico, M. J.
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An equivariant, inclination-flip, heteroclinic bifurcation
Nonlinearity, 1996Summary: We examine a heteroclinic bifurcation occurring in families of equivariant vector fields. Within these families, the flows contain structurally stable heteroclinic cycles. The flow can twist around the cycle to produce what is the equivalent of an `inclination-flip' homoclinic orbit.
P. Worfolk
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Degenerate bifurcations of heterodimensional cycle with orbit flip and inclination flip
SCIENTIA SINICA Mathematica, 2013We 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.
Xingbo Liu
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NONRESONANT BIFURCATIONS OF HETEROCLINIC LOOPS WITH ONE INCLINATION FLIP
International Journal of Bifurcation and Chaos, 2011Heteroclinic bifurcations in four-dimensional vector fields are investigated by setting up local coordinates near a heteroclinic loop. This heteroclinic loop consists of two principal heteroclinic orbits, but there is one stable foliation that involves an inclination flip.
Shui, Shuliang +2 more
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Bifurcations of heterodimensional cycles with one orbit flip and one inclination flip
Nonlinear Dynamics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Yancong, Zhu, Deming
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