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Dynamotypes for Dummies: A Toolbox, Atlas, and Tutorial for Simulating a Comprehensive Range of Realistic Synthetic Seizures. [PDF]
Sheckler C +7 more
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A predator-prey model with age-structured role reversal. [PDF]
Suarez LC, Cameron MK, Fagan WF, Levy D.
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Dynamics and conditions for inhibitory synaptic current to induce bursting and spreading depolarization in pyramidal neurons. [PDF]
Hua H, Gu H, Ma K, Jia Y, Wu L.
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Neuronal Network Dynamics in the Posterodorsal Amygdala: Shaping Reproductive Hormone Pulsatility
Nechyporenko K +7 more
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Homoclinic bifurcation at resonant eigenvalues
Journal of Dynamics and Differential Equations, 1990zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chow, Shui-Nee +2 more
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Generalized Hopf Bifurcation and Its Dual Generalized Homoclinic Bifurcation
SIAM Journal on Applied Mathematics, 1988We show the duality between the generalized Hopf bifurcation (GHB) and the generalized homoclinic bifurcation \((GHB^*)\). This duality is twofold: (1) the Poincaré normal forms at a weak focus and at a weak saddle, (2) the bifurcation diagrams of the GHB and the \(GHB^*\).
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Resonant Homoclinic Flip Bifurcations
Journal of Dynamics and Differential Equations, 2000Homoclinic bifurcations gained a lot of attention because they are closely related to transitions to chaotic dynamics. Many kinds of homoclinic bifurcations were studied (the best known is the Shil'nikov case of a homoclinic orbit to a saddle-focus equilibrium).
Homburg, A.J., Krauskopf, B.
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