| 0:00:04 | however |
|---|
| 0:00:05 | my name is hang out the high and this is the video abstract for the |
|---|
| 0:00:09 | paper miscarry symmetries explain dynamical equivalent or who once |
|---|
| 0:00:15 | i read in this paper together with last syllable and q rules |
|---|
| 0:00:20 | middle scale structures are parts of networks |
|---|
| 0:00:24 | but a smaller than the entire network |
|---|
| 0:00:27 | bigger than a single note |
|---|
| 0:00:30 | a central goal in complex systems research |
|---|
| 0:00:33 | is to find the consequences of such messes guy structures for the network |
|---|
| 0:00:37 | for example voice dynamics |
|---|
| 0:00:41 | in our paper we consider food webs |
|---|
| 0:00:44 | i don't networks representing the feeding relations in ecosystem |
|---|
| 0:00:48 | in particular we study symmetric mel-scale structures |
|---|
| 0:00:53 | this means that they contain notes which can be exchange with each other without changing |
|---|
| 0:00:59 | the network structure as shown here |
|---|
| 0:01:02 | we show that for such symmetries special localised dynamical modes exist |
|---|
| 0:01:08 | these dynamical modes i independent from the surrounding that work |
|---|
| 0:01:13 | depending on the symmetry such remote can be either stable or unstable |
|---|
| 0:01:18 | if it is unstable it implies instability that is likely to affect the entire network |
|---|
| 0:01:26 | it however it is stable |
|---|
| 0:01:28 | it has no consequences for the overall dynamics |
|---|
| 0:01:31 | it can then be removed by collapsing the symmetric north onto each other |
|---|
| 0:01:36 | resulting in a reduced network what exactly equivalent dynamics |
|---|
| 0:01:41 | although we have shown this explicitly who works |
|---|
| 0:01:45 | this approach should be applicable |
|---|
| 0:01:47 | to a variety of dynamical systems |
|---|