9 citations · 14 across the 3 of their papers we have counts for
3 papers
nlin.CD2009★ 2 cited
The cascades route to chaos
Evelyn Sander, James A. Yorke
The presence of a period-doubling cascade in dynamical systems that depend on a parameter is one of the basic routes to chaos. It is rarely mentioned that there are virtually alway…
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…