The paper investigates how well linear vector autoregressions (VARs) identify endogenous cycle mechanisms and cycle frequencies when the underlying process is a nonlinear limit cycle. We conduct Monte Carlo simulations with five nonlinear models in which cycles are driven by the interaction of two state variables. We find that while linear VARs quantitatively underestimate the strength of the interaction mechanism, they successfully identify the qualitative presence of a cycle mechanism in most cases (55%-100%). Our results further suggest that linear VARs are surprisingly successful at estimating cycle frequencies of nonlinear processes.'some systems of low-order linear stochastic difference equations with a non-oscillatory deterministic part, and therefore no cycle, display key business cycle features [...] I thus do not refer to business cycles, but rather to business cycle phenomena, which are nothing more nor less than a certain set of statistical properties of a certain set of important aggregate time series.' Recently, however, the idea of endogenous cycles has re-emerged in macroeconomic theory. Azariadis (2018) and Gal í (2018), for example, call for new models with complex eigenvalues and endogenous propagation mechanisms to account for periodic fluctuations JEL Classification numbers: C15, C32, E32. *We thank the editor Jonathan Temple, an anonymous referee,