24 citations · 77 across the 5 of their papers we have counts for
3 papers
nlin.CD2005★ 5 cited
Probability of local bifurcation type from a fixed point: A random matrix perspective
D. J. Albers, J. C. Sprott
Results regarding probable bifurcations from fixed points are presented in the context of general dynamical systems (real, random matrices), time-delay dynamical systems (companion…
nlin.CD2005★ 24 cited
Persistent Chaos in High Dimensions
D. J. Albers, J. C. Sprott, J. P. Crutchfield
An extensive statistical survey of universal approximators shows that as the dimension of a typical dissipative dynamical system is increased, the number of positive Lyapunov expon…
nlin.CD2004
Structural Stability and Hyperbolicity Violation in High-Dimensional Dynamical Systems
D. J. Albers, J. C. Sprott
This report investigates the dynamical stability conjectures of Palis and Smale, and Pugh and Shub from the standpoint of numerical observation and lays the foundation for a stabil…