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Discrete Sequential Information Coding: Heteroclinic Cognitive Dynamics. [PDF]
Front Comput Neurosci, 2018 Rabinovich MI, Varona P.
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Nonlinear stability analysis of whirl flutter in a rotor-nacelle system. [PDF]
Nonlinear Dyn, 2018 Mair C, Rezgui D, Titurus B.
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On the complex dynamics of savanna landscapes. [PDF]
Proc Natl Acad Sci U S A, 2018 Touboul JD, Staver AC, Levin SA.
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Exploring Limit Cycles of Differential Equations through Information Geometry Unveils the Solution to Hilbert's 16th Problem. [PDF]
Entropy (Basel)da Silva VB, Vieira JP, Leonel ED.
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Coexistence and extinction in flow-kick systems: An invasion growth rate approach. [PDF]
J Math BiolSchreiber SJ.
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Asymptotic Stability of Pseudo-simple Heteroclinic Cycles in $\mathbb{R}^4$
, 2017 Olga Podvigina, Pascal Chossat
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Nonreciprocal synchronization in embryonic oscillator ensembles
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Structurally stable heteroclinic cycles
Mathematical Proceedings of the Cambridge Philosophical Society, 1988This paper describes a previously undocumented phenomenon in dynamical systems theory; namely, the occurrence of heteroclinic cycles that are structurally stable within the space of Cr vector fields equivariant with respect to a symmetry group. In the space X(M) of Cr vector fields on a manifold M, there is a residual set of vector fields having no ...
Philip Holmes, John Guckenheimer
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