Globally stable synchronization by inhibitory pulse coupling
Research output: Contribution to book/conference proceedings/anthology/report › Conference contribution › Contributed › peer-review
Contributors
Abstract
We analyze global synchronization of oscillator networks with inhibitory delayed and non-delayed pulse coupling. For a fully-coupled system without delays, we propose simple modifications to the state-of-the-art. We prove that the resulting system converges to full in-phase synchronization of all oscillators from arbitrary initial conditions. For systems with arbitrarily distributed delays we propose a second, related approach. We prove that here a state close to synchrony is globally and asymptotically stable, such that all oscillators lock up to a certain precision from arbitrary initial conditions. The precision of synchronization is determined by the coupling strength and the maximal delay appearing.
Details
Original language | English |
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Title of host publication | 2nd International Symposium on Applied Sciences in Biomedical and Communication Technologies, ISABEL 2009 |
Publication status | Published - 2009 |
Peer-reviewed | Yes |
Externally published | Yes |
Conference
Title | 2nd International Symposium on Applied Sciences in Biomedical and Communication Technologies, ISABEL 2009 |
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Duration | 24 - 27 November 2009 |
City | Bratislava |
Country | Slovakia |
External IDs
ORCID | /0000-0002-5956-3137/work/142242517 |
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Keywords
ASJC Scopus subject areas
Keywords
- Inhibitory coupling, Networked systems, Pulse coupled oscillators, Synchronization, Synchronous behavior