Homoclinic solutions for a class of second order non-autonomous systems
Electronic Journal of Differential Equations, 2009 This article concerns the existence of homoclinic solutions for the second order non-autonomous system $$ ddot q+A dot q-L(t)q+W_{q}(t,q)=0, $$ where $A$ is a skew-symmetric constant matrix, $L(t)$ is a symmetric positive definite matrix depending ...
Ziheng Zhang, Rong Yuan
doaj
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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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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Homoclinic orbits to small periodic orbits for a class of reversible systems
, 1996 In this paper a one-parameter class of four-dimensional, reversible vector fields is investigated near an equilibrium. We call the parameter μ and place the equilibrium at 0.
Eric Lombardi
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Complex dynamics and control analysis of an epidemic model with non-monotone incidence and saturated treatment. [PDF]
Int J Dyn Control, 2023 Saha P, Ghosh U.
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Multiple homoclinic solutions for superquadratic Hamiltonian systems
Electronic Journal of Differential Equations, 2016 In this article we study the existence of infinitely many homoclinic solutions for a class of second-order Hamiltonian systems $$ \ddot{u}-L(t)u+W_u(t,u)=0, \quad \forall t\in\mathbb{R}, $$ where L is not required to be either uniformly positive ...
Wei Jiang, Qingye Zhang
doaj
An SIRS model with nonmonotone incidence and saturated treatment in a changing environment. [PDF]
J Math Biol, 2022 Pan Q, Huang J, Wang H.
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Waves of infection emerging from coupled social and epidemiological dynamics. [PDF]
J Theor Biol, 2023 Iwasa Y, Hayashi R.
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A Numerical Bifurcation Function For Homoclinic Orbits
, 1998 . We present a numerical method to locate periodic orbits near homoclinic orbits. Using a method of X.-B. Lin and solutions of the adjoint variational equation, we get a bifurcation function for periodic orbits whose period is asymptotic to infinity on ...
Mei, Zhen +3 more
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Classification of bursting patterns: A tale of two ducks. [PDF]
PLoS Comput Biol, 2022 Desroches M, Rinzel J, Rodrigues S.
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