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...

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...

This short paper deals with parallel scientific applications using non-blocking and periodic coordinated checkpointing to enforce resilience. We provide a model and detailed formulas for total execution time and consumed energy. We characterize the optimal period for both objectives, and we assess the range of time/energy trade-offs to be made by instantiating the model with a set of realistic ...

This study aims at identifying when an event written in text occurs. In particular, we classify a sentence for an event into four time-slots; morning, daytime, evening, and night. To realize our goal, we focus on expressions associated with time-slot (time-associated words). However, listing up all the time-associated words is impractical, because there are numerous time-associated expressions....

Period detection from time series is an important problem with many real-world applications such as weather forecast, stock market predictions, electrocardiogram analysis, periodic disease outbreak. In this work, we present a novel approximate period detection method for time series. The simplicity of our algorithm and its adaptability for high dimensional datasets using renowned tools and tech...

This paper presents an optical fiber gas sensor based on sandwiched long-period fiber grating (SLPFG) that is fabricated via the microelectromechanical systems (MEMS) process and coated with amino silica adsorbent for carbon dioxide (CO2) gas sensing. The amine-modified nanoporous silica foams were coated onto the SLPFG for CO2 adsorption. To characterize the CO2 adsorption of the SLPFG sensor,...