however
my name is hang out the high and this is the video abstract for the
paper miscarry symmetries explain dynamical equivalent or who once
i read in this paper together with last syllable and q rules
middle scale structures are parts of networks
but a smaller than the entire network
bigger than a single note
a central goal in complex systems research
is to find the consequences of such messes guy structures for the network
for example voice dynamics
in our paper we consider food webs
i don't networks representing the feeding relations in ecosystem
in particular we study symmetric mel-scale structures
this means that they contain notes which can be exchange with each other without changing
the network structure as shown here
we show that for such symmetries special localised dynamical modes exist
these dynamical modes i independent from the surrounding that work
depending on the symmetry such remote can be either stable or unstable
if it is unstable it implies instability that is likely to affect the entire network
it however it is stable
it has no consequences for the overall dynamics
it can then be removed by collapsing the symmetric north onto each other
resulting in a reduced network what exactly equivalent dynamics
although we have shown this explicitly who works
this approach should be applicable
to a variety of dynamical systems