Answers are grounded in this paper and cite their sources.
Analytic framework analyzes periodic orbits in piecewise holomorphic systems, revealing center conditions.
In this paper, we propose an analytic framework to characterize centers in piecewise holomorphic systems on [Formula: see text] by analyzing the structure of periodic orbits in the associated real systems. For three representative classes of such systems, we establish necessary and sufficient conditions for the existence of a simple pseudo-center in each case, and we determine the dimension of the set of periodic orbits in the corresponding real systems when the simple pseudo-center conditions are not satisfied.
No takes yet. Share an insight, caveat, or question.
Dong et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: