Emergent excitability in adaptive networks of non-excitable units
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2020
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915308948684800 |
|---|---|
| author | Ciszak, Marzena Marino, Francesco Torcini, Alessandro Olmi, Simona |
| author_facet | Ciszak, Marzena Marino, Francesco Torcini, Alessandro Olmi, Simona |
| contents | Population bursts in a large ensemble of coupled elements result from the interplay between the local excitable properties of the nodes and the global network topology. Here collective excitability and self-sustained bursting oscillations are shown to spontaneously emerge in adaptive networks of globally coupled non-excitable units. The ingredients to observe collective excitability are the coexistence of states with different degree of synchronizaton joined to a global feedback acting, on a slow timescale, against the synchronization (desynchronization) of the oscillators. These regimes are illustrated for two paradigmatic classes of coupled rotators: namely, the Kuramoto model with and without inertia. For the bimodal Kuramoto model we analytically show that the macroscopic evolution originates from the existence of a critical manifold organizing the fast collective dynamics on a slow timescale. Our results provide evidence that adaptation can induce excitability by maintaining a network permanently out-of-equilibrium. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_06249 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Emergent excitability in adaptive networks of non-excitable units Ciszak, Marzena Marino, Francesco Torcini, Alessandro Olmi, Simona Adaptation and Self-Organizing Systems Disordered Systems and Neural Networks Chaotic Dynamics Population bursts in a large ensemble of coupled elements result from the interplay between the local excitable properties of the nodes and the global network topology. Here collective excitability and self-sustained bursting oscillations are shown to spontaneously emerge in adaptive networks of globally coupled non-excitable units. The ingredients to observe collective excitability are the coexistence of states with different degree of synchronizaton joined to a global feedback acting, on a slow timescale, against the synchronization (desynchronization) of the oscillators. These regimes are illustrated for two paradigmatic classes of coupled rotators: namely, the Kuramoto model with and without inertia. For the bimodal Kuramoto model we analytically show that the macroscopic evolution originates from the existence of a critical manifold organizing the fast collective dynamics on a slow timescale. Our results provide evidence that adaptation can induce excitability by maintaining a network permanently out-of-equilibrium. |
| title | Emergent excitability in adaptive networks of non-excitable units |
| topic | Adaptation and Self-Organizing Systems Disordered Systems and Neural Networks Chaotic Dynamics |
| url | https://arxiv.org/abs/2010.06249 |