Аннотация:
The research being carried out is aimed at applying nonlinear
dynamics methods in product life cycle management to improve
communication between processes and achieve environmental
sustainability. The purpose of the article is to create a nonlinear
mathematical model for analysing product lifecycle
management. Chaotic nonlinear dynamical processes of product
lifecycle are deterministic but have the property that even small
uncertainties in initial conditions lead to exponentially growing
errors in the management that limit long-term forecasts. The
emergence of chaotic behaviour in processes of product lifecycle
was explored, focusing on fluctuations. The study employed
methods such as systems analysis, correlation analysis,
nonlinear dynamics, and the Surrogate model of chaotic Lorenz
waterwheel. It was identified that sharp technological
innovations as the primary drivers of short-term fluctuations
impacting fixed efficiency and effectiveness of product life cycle
process development. The resulting nonlinear dynamic model
allowed for flexible operation, transitioning between
equilibrium, periodic, and chaotic states based on coefficient
values for asset growth rates and time constants reflecting
product life cycle process dynamics. The research results are
valuable for companies seeking to reduce their environmental
impact and implement circular economy principles.
