A topological approach to stability of pulses bifurcating from an inclination-flip homoclinic orbit [PDF]
, 2000 Shunsaku Nii
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Modeling, dynamical analysis and numerical simulation of a new 3D cubic Lorenz-like system. [PDF]
Sci Rep, 2023 Wang H, Ke G, Pan J, Su Q.
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Electronic Journal of Qualitative Theory of Differential EquationsThis paper tightens the classical Poincaré–Bendixson theory for a positively invariant, simply-connected compact set $\mathcal M$ in a continuously differentiable planar vector field by further characterizing for any point $p\in \mathcal M$, the ...
Pouria Ramazi +2 more
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Nonlinear mechanism for the enhanced bursting activities induced by fast inhibitory autapse and reduced activities by fast excitatory autapse. [PDF]
Cogn Neurodyn, 2023 Qi C, Li Y, Gu H, Yang Y.
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Correction: An SIRS model with nonmonotone incidence and saturated treatment in a changing environment. [PDF]
J Math Biol, 2023 Pan Q, Huang J, Wang H.
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Homoclinic orbits in the near-integrable double discrete sine-Gordon equation [PDF]
, 2001 Vassilis M. Rothos
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Some remarks on the Melnikov function
Electronic Journal of Differential Equations, 2002 We study the Melnikov function associated with a periodic perturbation of a differential equation having a homoclinic orbit. Our main interest is the characterization of perturbations that give rise to vanishing or non-vanishing of the Melnikov function.
Flaviano Battelli, Michal Feckan
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Limit theorem for a dynamical system in the presence of resonances and homoclinic orbits
, 1990 Gershon Wolansky
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Temperature elevations can induce switches to homoclinic action potentials that alter neural encoding and synchronization. [PDF]
Nat Commun, 2022 Hesse J +4 more
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