2017/10/29 by L. A. Maslov, Maslov, Lev A
Earth and Planetary Sciences · Environmental Science · #Atmospheric and Oceanic Physics (physics.ao-ph) #Ecosystem dynamics and resilience #FOS: Physical sciences #Geology and Paleoclimatology Research #Sustainability and Ecological Systems Analysis
paper · pdf · doi:10.48550/arxiv.1710.11470
openalex publication_date 2017/10/29 · openalex created_date 2017/11/10 · openalex updated_date 2026/07/28
A system of nonlinear ordinary differential equations with forcing function is developed to model evolution processes in complex systems. In this system R, C, and P are the resource, consumption, and production functions correspondingly. F is the forcing function. Two cases F=0, and F=A+Bsin(omega x t) are considered. It is shown that if F=0, there exist an unstable periodic solution for a certain set of system coefficients. In the case of periodic forcing, system has an attractor solution. The system developed may have a wide range of applications: in biological and social sciences, in economics, in ecology, and, as well, in modeling climate. A correspondence between the theoretical (numerical) solution and Late Pleistocene climate data dynamics is analyzed on a qualitative level.