AI 中文总结
本文研究含时滞的Sommerfeld-Kononenko非理想“单摆-电动机”系统最大吸引子的分岔,明确时滞可改变该系统极限集类型与混沌转迁过程,描述了系统的规则与混沌型最大吸引子及其分岔。
AI 中文摘要
研究时滞参数对Sommerfeld-Kononenko非理想动力学系统“单摆-电动机”中“非经典”最大吸引子分岔的影响,描述该系统的规则型与混沌型最大吸引子及其分岔,明确时滞的存在可从根本上改变该动力学系统极限集的类型,并显著改变向确定性混沌的转迁过程。
英文摘要
The influence of the time-delay parameters on the bifurcations of "non-classical" maximal attractors in the Sommerfeld-Kononenko non-ideal dynamical system "spherical pendulum-electric motor" is investigated. Regular and chaotic maximal attractors of this system, as well as their bifurcations, are described. It is established that the presence of time delays can fundamentally change the type of limit sets of the considered dynamical system and significantly alter the scenarios of transitions to deterministic chaos.