172 citations · 796 across the 66 of their papers we have counts for
Showing math.DSShow all
3 papers · 1 filter
math.DS2016★ 6 cited
An algebra of open continuous time dynamical systems and networks
Eugene Lerman, David I. Spivak
Many systems of interest in science and engineering are made up of interacting subsystems. These subsystems, in turn, could be made up of collections of smaller interacting subsyst…
math.DS2015★ 13 cited
The steady states of coupled dynamical systems compose according to matrix arithmetic
David I. Spivak
Open dynamical systems are mathematical models of machines that take input, change their internal state, and produce output. For example, one may model anything from neurons to rob…
math.DS2015★ 3 cited
Nesting of dynamic systems and mode-dependent networks
David I. Spivak, Joshua Z. Tan
For many networks, the connection pattern (often called the topology) can vary in time, depending on the changing state, or mode, of the modules within the network. For example, "a…