A viral infection model with a nonlinear infection rate.
A Viterbo-Hofer-Zehnder type result for hamiltonian inclusions
A weak invariance principle and asymptotic stability for evolution equations with bounded generators.
A within-host dengue infection model with immune response and nonlinear incidence rate
A model of viral infection of monocytes population by the dengue virus is formulated as a system of four ordinary differential equations. The model takes into account the immune response and nonlinear incidence rate of susceptible and free virus particles. Global stability of the uninfected steady state is investigated. Such a steady state always exists. If it is the only steady state, then it is globally asymptotically stable. If any infected steady state exists, then the uninfected...
A zero-dissipative Runge-Kutta-Nyström method with minimal phase-lag.
Abelian integrals in holomorphic foliations.
The aim of this paper is to introduce the theory of Abelian integrals for holomorphic foliations in a complex manifold of dimension two. We will show the importance of Picard-Lefschetz theory and the classification of relatively exact 1-forms in this theory. As an application we identify some irreducible components of the space of holomorphic foliations of a fixed degree and with a center singularity in the projective space of dimension two. Also we calculate higher Melnikov functions under some...
Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line.
We prove that the lowest upper bound for the number of isolated zeros of the Abelian integrals associated to quadratic Hamiltonian vector fields having a center and an invariant straight line after quadratic perturbations is one.
Abelian integrals related to Morse polynomials and perturbations of plane hamiltonian vector fields
Let be the real vector space of Abelian integralswhere is a fixed real polynomial, is an arbitrary real polynomial and , , is the interior of the oval of which surrounds the origin and tends to it as . We prove that if is a semiweighted homogeneous polynomial with only Morse critical points, then is a free finitely generated module over the ring of real polynomials , and compute its rank. We find the generators of in the case when is an arbitrary cubic polynomial. Finally we...
About a second-order equation with variable coefficients.
About one property of the generalized Liénard differential equations
About uniform boundedness and convergence of solutions of certain nonlinear differential equations of fifth-order.
Absolutely convergent series expansions for quasi periodic motions.
Abstract differential equations of arbitrary (fractional) orders
Accompanying spaces to a linear two-dimensional space of continuous functions with a continuous first derivative
Accurate reduction of a model of circadian rhythms by delayed quasi-steady state assumptions
Quasi-steady state assumptions are often used to simplify complex systems of ordinary differential equations in the modelling of biochemical processes. The simplified system is designed to have the same qualitative properties as the original system and to have a small number of variables. This enables to use the stability and bifurcation analysis to reveal a deeper structure in the dynamics of the original system. This contribution shows that introducing delays to quasi-steady state assumptions...
Adaptive finite-time synchronization of cross-strict feedback hyperchaotic systems with parameter uncertainties
This paper is concerned with the finite-time synchronization problem for a class of cross-strict feedback underactuated hyperchaotic systems. Using finite-time control and backstepping control approaches, a new robust adaptive synchronization scheme is proposed to make the synchronization errors of the systems with parameter uncertainties zero in a finite time. Appropriate adaptive laws are derived to deal with the unknown parameters of the systems. The proposed method can be applied to a variety...
Addenda to “Periodic solutions of with arbitrarily large period”
Addendum to periodic solutions of a third-order nonlinear differential equation
Additive groups connected with asymptotic stability of some differential equations
The asymptotic behaviour of a Sturm-Liouville differential equation with coefficient is investigated, where and is a nondecreasing step function tending to as . Let denote the set of those ’s for which the corresponding differential equation has a solution not tending to 0. It is proved that is an additive group. Four examples are given with , , (i.e. the set of dyadic numbers), and .
Adjungierte und selbstadjungierte lineare Differentialgleichungen