237 citations · 662 across the 35 of their papers we have counts for
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math.DS2009★ 3 cited
Period-doubling cascades galore
Evelyn Sander, James A. Yorke
The appearance of numerous period-doubling cascades is among the most prominent features of {\bf parametrized maps}, that is, smooth one-parameter families of maps $F:R \times {\ma…
math.DS2009★ 9 cited
Period-doubling cascades for large perturbations of Henon families
Evelyn Sander, James A. Yorke
The Henon family has been shown to have period-doubling cascades. We show here that the same occurs for a much larger class: Large perturbations do not destroy cascades. Furthermor…