The Existence of Autonomous Chaos in EDM Process

The dynamical evolution of electrical discharge machining (EDM) has drawn immense research interest. Previous on mechanism analysis discussed the deterministic nonlinearity gap states at pulse-on discharging duration, while describing pulse-off deionization process separately as a stochastic evolutionary process. In this case, precise model complete process, well optimum performance parameters EDM, can hardly be determined. main purpose paper is to clarify whether EDM system maintain consistency in dynamic characteristics within interval. A nonlinear self-maintained equivalent first established, and two threshold conditions are obtained by Shilnikov theory. theoretical results prove that could lead chaos without external excitation. time series recorded experiments then analyzed further validate conclusion. Qualitative chaotic analyses verify autonomous characteristics. Quantitative methods used estimate feature By comparing quantitative with non-autonomous deduction made will evolve towards steady under an state.