Mathematical models in continuous or discrete time are widely used to simplify real-world systems in order to understand their mechanisms for a particular purpose. Consequently, a welldefined model should be able to carry out some predictions and be fitted to observational data in a variety of time measurements (seconds, hours, days, weeks, months, or years). Therefore, the time scales approach...

Abstract: In this work, the dynamics of a duopoly game with two heterogeneous players and time delay is investigated. It is assumed that one player adopts adaptive adjustment method and another considers time delay for marginal profit. A nonlinear dynamics is built and theoretical and numerical stability analysis is done for it. It is shown that time delay plays an important role in the system ...

The sequences generated by neuronal recurrence equations of the form xHnL ! 1A⁄j!1 h aj xHn jL qE are studied. From a neuronal recurrence equation of memory size h that describes a cycle of length rHmLä lcmIp0, p1, ... , p-1+r HmLM, a set of rHmL neuronal recurrence equations is constructed with dynamics that describe respectively the transient of length OHrHmLä lcmHp0, ... , pdLL and the cycle...

We describe how classical Floquet theory may be utilized, in a continuation framework, to construct an efficient Fourier spectral algorithm for approximating periodic orbits. At each continuation step, only a single square matrix, whose size equals the dimension of the phasespace, needs to be factorized; the rest of the required numerical linear algebra just consists of backsubstitutions with t...

the extended postpartum period is the time which is usually given less emphasis regarding family planning by policy makers, service providers and users. however, it is a time with a rising risk of unwanted conception and an often-frustrated desire for contraceptive protection. understanding the contraceptive behaviors, needs and preferences of women in this period is important the main objectiv...

In this paper, we evaluate whether the robustness of a market mechanism that allocates complementary resources could be improved through the aggregation of time periods in which resources are consumed. In particular, we study a multi-round combinatorial auction that is built on a general equilibrium framework. We adopt the general equilibrium framework and the particular combinatorial auction d...