Heteroclinic cycles in a new class of four-dimensional discontinuous piecewise affine systems [PDF]
Wenjing Xu, Wei Xu, Li Cai
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On bifurcations of three-dimensional diffeomorphisms with a non-transversal heteroclinic cycle containing saddle-foci [PDF]
С. В. Гонченко +1 more
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Heteroclinic cycles for reaction diffusion systems by forced symmetry-breaking [PDF]
Stanislaus Maier‐Paape +1 more
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Limit Cycles Appearing from a Generalized Heteroclinic Loop with an Elementary Saddle and a Nilpotent Saddle by Perturbing Piecewise Hamiltonian Systems [PDF]
Jin Zhou +2 more
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Pseudo-simple heteroclinic cycles in $R^4$
We study pseudo-simple heteroclinic cycles for a $ $-equivariant system in $R^4$ with finite $ \subset O(4)$, and their nearby dynamics. In particular, in a first step towards a full classification - analogous to that which exists already for the class of simple cycles - we identify all finite subgroups of $O(4)$ admitting pseudo-simple cycles.
Chossat, Pascal +2 more
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Bifurcations from an attracting heteroclinic cycle under periodic\n forcing [PDF]
Isabel S. Labouriau +1 more
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Global attraction and repulsion of a heteroclinic limit cycle in three dimensional Kolmogorov maps [PDF]
Zhanyuan Hou
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Stable Heteroclinic Channel Networks for Physical Human-Humanoid Robot Collaboration. [PDF]
Brecelj T, Petrič T.
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Slow ion concentration oscillations and multiple states in neuron-glia interaction-insights gained from reduced mathematical models. [PDF]
Øyehaug L.
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On birth of discrete Lorenz attractors under bifurcations of 3D maps with nontransversal heteroclinic cycles [PDF]
Ivan Ovsyannikov
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