Emergence of a tipping subnetwork during a critical transition in networked systems: A new avenue to extreme events
Unexpected and often irreversible shifts in the state or the dynamics of a complex system often accumulate in extreme events with likely disastrous impact on the system and its environment. Detection, understanding, and possible prediction of such critical transitions are thus of paramount importanc...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-05-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.023109 |
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| _version_ | 1849322891444748288 |
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| author | Timo Bröhl Klaus Lehnertz |
| author_facet | Timo Bröhl Klaus Lehnertz |
| author_sort | Timo Bröhl |
| collection | DOAJ |
| description | Unexpected and often irreversible shifts in the state or the dynamics of a complex system often accumulate in extreme events with likely disastrous impact on the system and its environment. Detection, understanding, and possible prediction of such critical transitions are thus of paramount importance across a variety of scientific fields. The rather modest improvement achieved so far may be due previous research mostly concentrating on either particular subsystems, considered to be of vital importance for the generating mechanism of a critical transition, or on the system as a whole. These approaches only rarely take into account the intricate, time-dependent interrelatedness of subsystems that can essentially determine emerging behaviors underlying critical transitions. We uncover subsystems, network vertices, and the interrelatedness of certain subsystems, network edges, as tipping elements in a networked dynamical system, forming a time-evolving tipping subnetwork. We demonstrate the existence of tipping subnetworks in excitable complex networks and in human epileptic brains. These systems can repeatedly undergo critical transitions that result in extreme events. Our findings reveal that tipping subnetworks encapsulate key properties of mechanisms involved in critical transitions. |
| format | Article |
| id | doaj-art-e90d43f242534d769cf09123cd18fe29 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-e90d43f242534d769cf09123cd18fe292025-08-20T03:49:13ZengAmerican Physical SocietyPhysical Review Research2643-15642025-05-017202310910.1103/PhysRevResearch.7.023109Emergence of a tipping subnetwork during a critical transition in networked systems: A new avenue to extreme eventsTimo BröhlKlaus LehnertzUnexpected and often irreversible shifts in the state or the dynamics of a complex system often accumulate in extreme events with likely disastrous impact on the system and its environment. Detection, understanding, and possible prediction of such critical transitions are thus of paramount importance across a variety of scientific fields. The rather modest improvement achieved so far may be due previous research mostly concentrating on either particular subsystems, considered to be of vital importance for the generating mechanism of a critical transition, or on the system as a whole. These approaches only rarely take into account the intricate, time-dependent interrelatedness of subsystems that can essentially determine emerging behaviors underlying critical transitions. We uncover subsystems, network vertices, and the interrelatedness of certain subsystems, network edges, as tipping elements in a networked dynamical system, forming a time-evolving tipping subnetwork. We demonstrate the existence of tipping subnetworks in excitable complex networks and in human epileptic brains. These systems can repeatedly undergo critical transitions that result in extreme events. Our findings reveal that tipping subnetworks encapsulate key properties of mechanisms involved in critical transitions.http://doi.org/10.1103/PhysRevResearch.7.023109 |
| spellingShingle | Timo Bröhl Klaus Lehnertz Emergence of a tipping subnetwork during a critical transition in networked systems: A new avenue to extreme events Physical Review Research |
| title | Emergence of a tipping subnetwork during a critical transition in networked systems: A new avenue to extreme events |
| title_full | Emergence of a tipping subnetwork during a critical transition in networked systems: A new avenue to extreme events |
| title_fullStr | Emergence of a tipping subnetwork during a critical transition in networked systems: A new avenue to extreme events |
| title_full_unstemmed | Emergence of a tipping subnetwork during a critical transition in networked systems: A new avenue to extreme events |
| title_short | Emergence of a tipping subnetwork during a critical transition in networked systems: A new avenue to extreme events |
| title_sort | emergence of a tipping subnetwork during a critical transition in networked systems a new avenue to extreme events |
| url | http://doi.org/10.1103/PhysRevResearch.7.023109 |
| work_keys_str_mv | AT timobrohl emergenceofatippingsubnetworkduringacriticaltransitioninnetworkedsystemsanewavenuetoextremeevents AT klauslehnertz emergenceofatippingsubnetworkduringacriticaltransitioninnetworkedsystemsanewavenuetoextremeevents |