In their utilization of R&D (information) output, different sectors of a heterogeneous industry display different reaction times. This paper analyzes the effects of this temporal heterogeniety on output and productivity for an extended version of the Baumol-Wolff model. Results include...

We present a simple two-dimensional dynamical system where two nonlinear terms, exerting respectively positive feedback and reversal, compete to create a singularity in finite time decorated by accelerating oscillations. The power law singularity results from the increasing growth rate. The...

Fluctuations in stellar nuclear reaction–diffusion system affected by the g–T effect are investigated and the oscillations related to the fluctuations of particle number density in the proceedings of the core nuclear reactions of stars are analyzed. It is shown that there is a series of...

We propose a model for macroautophagy and study the resulting dynamics of autophagy in a system isolated from its extra-cellular environment. It is found that the intracellular concentrations of autophagosomes and autolysosomes display oscillations with their own natural frequencies. Such...

This article's motivation is to understand the volatile Bitcoin price increase. The objective is to develop price estimation methods. The methodology is to present five differential equation models estimated against the 23 July 2010-21 June 2021 Bitcoin data. The findings are that Gompertz...