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Exploring Limit Cycles of Differential Equations through Information Geometry Unveils the Solution to Hilbert's 16th Problem. [PDF]
da Silva VB, Vieira JP, Leonel ED.
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A geometrical model of cell fate specification in the mouse blastocyst.
Raju A, Siggia ED.
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Early warning signals for bifurcations embedded in high dimensions. [PDF]
Dylewsky D, Anand M, Bauch CT.
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Computation of soliton structure and analysis of chaotic behaviour in quantum deformed Sinh-Gordon model. [PDF]
Jhangeer A+4 more
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Differences in enantiomeric diffusion can lead to selective chiral amplification. [PDF]
Gillet J+3 more
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Bifurcations of heteroclinic loop accompanied by pitchfork bifurcation [PDF]
In this paper, using the local coordinate moving frame approach, we investigate bifurcations of generic heteroclinic loop with a hyperbolic equilibrium and a nonhyperbolic equilibrium which undergoes a pitchfork bifurcation. Under some generic hypotheses, the existence of homoclinic loop, heteroclinic loop, periodic orbit and three or four heteroclinic
Yancong Xu, Yancong Xu, Fengjie Geng
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Supercritical Pitchfork Bifurcation in Implicit Regression Modeling
International Journal of Artificial Life Research, 2010Chaotic systems have been widely studied for description and explanation of various observed phenomena. The problem of statistical modeling for messy data can be attempted using the so called Supercritical Pitchfork Bifurcation (SPB) approach. This work considers the possibility of applying SPB technique to regression modeling of the implicit functions.
S. Lipovetsky
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Hopf‐pitchfork bifurcation in a two‐neuron system with discrete and distributed delays
Mathematical Methods in the Applied Sciences, 2015Hongbin Wang, Jingnan Wang
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