We systematically study the evolution of modulated nerve impulses in a myelinated nerve
fiber, where both the ionic current and membrane capacitance provide the necessary …

A class of exact solutions is obtained for the Liénard-type ordinary nonlinear differential
equation. As a first step in our study, the second-order Liénard-type equation is transformed …

We show that a class of arbitrary, autonomous kinetic equations in two variables describing
chemical and biochemical oscillations can be reduced to the form of a Liénard oscillator …

We investigate the connection between the linear harmonic oscillator equation and some
classes of second-order nonlinear ordinary differential equations of Liénard and generalized …

We analytically derived the complex Ginzburg-Landau equation from the Liénard form of the
discrete FitzHugh Nagumo model by employing the multiple scale expansions in the …

We prove the existence of infinitely many periodic solutions, as well as the presence of
chaotic dynamics, for a periodically perturbed planar Liénard system of the form …

We consider a class of time-periodic switched systems, which are obtained as a perturbation
of a planar autonomous reversible system by a periodic forcing term. The model is motivated …

We present some exact integrability cases of the extended Liénard equation y ″+ f (y)(y′)
n+ k (y)(y′) m+ g (y) y′+ h (y)= 0, with n> 0 and m> 0 arbitrary constants, while f (y), k (y), g …

We analytically derived the complex Ginzburg-Landau equation from the Liénard form of the
discrete FitzHugh Nagumo model, by employing the multiple scale expansions in the …

We study the dynamics of phytoplankton blooms by a simple nutrient-phytoplankton model.
A mathematical modeling with small but rapid fluctuations of nutrient shows a major …