25 citations · 63 across the 13 of their papers we have counts for
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Connecting Lyapunov Vectors with the Pattern Dynamics of Chaotic Rayleigh-Bénard Convection
Rachel Levanger, Mu Xu, Jacek Cyranka +3
We explore the chaotic dynamics of Rayleigh-Bénard convection using large-scale, parallel numerical simulations for experimentally accessible conditions. We quantify the connection…
Contractibility of a persistence map preimage
Jacek Cyranka, Konstantin Mischaikow, Charles Weibel
This work is motivated by the following question in data-driven study of dynamical systems: given a dynamical system that is observed via time series of persistence diagrams that e…
Tight Continuous-Time Reachtubes for Lagrangian Reachability
Jacek Cyranka, Md. Ariful Islam, Scott A. Smolka +2
We introduce continuous Lagrangian reachability (CLRT), a new algorithm for the computation of a tight and continuous-time reachtube for the solution flows of a nonlinear, time-var…