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J. Bifurcation Chaos"],"published-print":{"date-parts":[[2026,6,30]]},"abstract":"<jats:p>A stochastic dynamic model is proposed for a Z-shaped folding wing with random excitations. The method of multiple scales is employed to derive amplitude equations. Bistable phenomenon on the deterministic system is revealed through analyses on bifurcation and basin of attraction. Under the effect of random loads, the noise-induced transition behavior is observed, and the noise-enhanced stabilization phenomenon is examined in detail. Reliability analysis is conducted using a proposed reliability index. Reliability region is presented versus different parameters including noise intensity. 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