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Asymptotic stability of heteroclinic cycles in systems with symmetry. II
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1995Systems possessing symmetries often admit robust heteroclinic cycles that persist under perturbations that respect the symmetry. In previous work, we began a systematic investigation into the asymptotic stability of such cycles. In particular, we found a sufficient condition for asymptotic stability, and we gave algebraic criteria for deciding when ...
KRUPA, M, MELBOURNE, [No Value]
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On heteroclinic cycles of competitive maps via carrying simplices
Journal of Mathematical Biology, 2015We concentrate on the effects of heteroclinic cycles and the interplay of heteroclinic attractors or repellers on the boundary of the carrying simplices for low-dimensional discrete-time competitive systems. Based on the existence of the carrying simplex for the competitive mapping, we provide the criteria on stability of the heteroclinic cycle.
Jiang, Jifa, Niu, Lei, Wang, Yi
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The marine nitrogen cycle: new developments and global change
Nature Reviews Microbiology, 2022David A Hutchins, Douglas G Capone
exaly
Heteroclinic Cycles in Symmetrically Coupled Systems
1999A characteristic feature of symmetric dynamics is the presence of robust heteroclinic cycles. Although this phenomenon was first described by dos Reis in 1978 (see [25]), it only gained wide attention in the dynamics community after the work of Guckenheimer and Holmes [18] on a dynamical system used by Busse and Clever [7] as a model of fluid ...
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Human and environmental safety of carbon nanotubes across their life cycle
Nature Reviews Materials, 2023Dana Goerzen, Matteo Pasquali
exaly
Pseudo-simple heteroclinic cycles in \(\mathbb{R}^4\)
2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chossat, Pascal +2 more
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Balancing interfacial reactions to achieve long cycle life in high-energy lithium metal batteries
Nature Energy, 2021Chaojiang Niu, Joshua A Lochala, Xia Cao
exaly

