3 citations · 3 across the 3 of their papers we have counts for
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Conditioned Weiner Processes as Nonlinearities: A Rigorous Probabilistic Analysis of Dynamics
Konstantin Mischaikow, Cameron Thieme
We study a Weiner process that is conditioned to pass through a finite set of points and consider the dynamics generated by iterating a sample path from this process. Using topolog…
Conley Index Theory and the Attractor-Repeller Decomposition for Differential Inclusions
Cameron Thieme
The Conley index theory is a powerful topological tool for describing the basic structure of dynamical systems. One important feature of this theory is the attractor-repeller decom…
Isolating Neighborhoods and Filippov Systems: Extending Conley Theory to Differential Inclusions
Cameron Thieme
The Conley index theory is a powerful topological tool for obtaining information about invariant sets in continuous dynamical systems. A key feature of Conley theory is that the in…
Multiflows: A New Technique for Filippov Systems and Differential Inclusions
Cameron Thieme
The flow is very useful in studying dynamical systems. However, many modern systems--notably differential inclusions--do not have unique solutions, and therefore cannot be describe…