Timme, Marc

[["dc.bibliographiccitation.artnumber","068101"],["dc.bibliographiccitation.issue","6"],["dc.bibliographiccitation.journal","Physical Review Letters"],["dc.bibliographiccitation.volume","102"],["dc.contributor.author","Kirst, Christoph"],["dc.contributor.author","Geisel, Theo"],["dc.contributor.author","Timme, Marc"],["dc.date.accessioned","2018-11-07T08:32:45Z"],["dc.date.available","2018-11-07T08:32:45Z"],["dc.date.issued","2009"],["dc.description.abstract","The response of a neuron to synaptic input strongly depends on whether or not the neuron has just emitted a spike. We propose a neuron model that after spike emission exhibits a partial response to residual input charges and study its collective network dynamics analytically. We uncover a desynchronization mechanism that causes a sequential desynchronization transition: In globally coupled neurons an increase in the strength of the partial response induces a sequence of bifurcations from states with large clusters of synchronously firing neurons, through states with smaller clusters to completely asynchronous spiking. We briefly discuss key consequences of this mechanism for more general networks of biophysical neurons."],["dc.identifier.doi","10.1103/PhysRevLett.102.068101"],["dc.identifier.fs","503776"],["dc.identifier.isi","000263389500068"],["dc.identifier.pmid","19257635"],["dc.identifier.purl","https://resolver.sub.uni-goettingen.de/purl?gs-1/7964"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/17412"],["dc.notes.intern","Merged from goescholar"],["dc.notes.intern","Merged from goescholar"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Amer Physical Soc"],["dc.relation.issn","0031-9007"],["dc.relation.orgunit","Fakultät für Physik"],["dc.rights","CC BY 3.0"],["dc.rights.uri","https://creativecommons.org/licenses/by/3.0"],["dc.title","Sequential Desynchronization in Networks of Spiking Neurons with Partial Reset"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dc.type.version","published_version"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","065201"],["dc.bibliographiccitation.issue","6"],["dc.bibliographiccitation.journal","PHYSICAL REVIEW E"],["dc.bibliographiccitation.volume","78"],["dc.contributor.author","Kirst, Christoph"],["dc.contributor.author","Timme, Marc"],["dc.date.accessioned","2018-11-07T11:08:50Z"],["dc.date.available","2018-11-07T11:08:50Z"],["dc.date.issued","2008"],["dc.description.abstract","We present a dynamical system that naturally exhibits two unstable attractors that are completely enclosed by each other's basin volume. This counterintuitive phenomenon occurs in networks of pulse-coupled oscillators with delayed interactions. We analytically show that upon continuously removing a local noninvertibility of the system, the two unstable attractors become a set of two nonattracting saddle states that are heteroclinically connected. This transition equally occurs from larger networks of unstable attractors to heteroclinic structures and constitutes a new type of singular bifurcation in dynamical systems."],["dc.description.sponsorship","Federal Ministry of Education & Research (BMBF) [01GQ0430]"],["dc.identifier.doi","10.1103/PhysRevE.78.065201"],["dc.identifier.isi","000262240600003"],["dc.identifier.pmid","19256893"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/52878"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Amer Physical Soc"],["dc.relation.issn","2470-0053"],["dc.relation.issn","2470-0045"],["dc.title","From networks of unstable attractors to heteroclinic switching"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","1606"],["dc.bibliographiccitation.issue","4"],["dc.bibliographiccitation.journal","IEEE Transactions on Automatic Control"],["dc.bibliographiccitation.lastpage","1619"],["dc.bibliographiccitation.volume","62"],["dc.contributor.author","Klinglmayr, Johannes"],["dc.contributor.author","Bettstetter, Christian"],["dc.contributor.author","Timme, Marc"],["dc.contributor.author","Kirst, Christoph"],["dc.date.accessioned","2020-12-10T18:26:15Z"],["dc.date.available","2020-12-10T18:26:15Z"],["dc.date.issued","2017"],["dc.description.abstract","The theory of pulse-coupled oscillators provides a framework to formulate and develop self-organizing synchronization strategies for wireless communications and mobile computing. These strategies show low complexity and are adaptive to changes in the network. Even though several protocols have been proposed and theoretical insight was gained there is no proof that guarantees synchronization of the oscillator phases in general dynamic coupling topologies under technological constraints. Here, we introduce a family of coupling strategies for pulse-coupled oscillators and prove that synchronizationemerges for systems with arbitrary connected and dynamic topologies, individually changing signal propagation and processing delays, and stochastic pulse emission. It is shown by simulations how unreliable links or intentionally incomplete communication between oscillators can improve synchronization performance."],["dc.identifier.doi","10.1109/TAC.2016.2593642"],["dc.identifier.eissn","1558-2523"],["dc.identifier.isi","000399033000005"],["dc.identifier.issn","0018-9286"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/76014"],["dc.notes.intern","DOI Import GROB-354"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","PUB_WoS_Import"],["dc.publisher","Ieee-inst Electrical Electronics Engineers Inc"],["dc.relation.issn","1558-2523"],["dc.relation.issn","0018-9286"],["dc.title","Convergence of Self-Organizing Pulse-Coupled Oscillator Synchronization in Dynamic Networks"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","2119"],["dc.bibliographiccitation.issue","7"],["dc.bibliographiccitation.journal","SIAM Journal on Applied Mathematics"],["dc.bibliographiccitation.lastpage","2149"],["dc.bibliographiccitation.volume","70"],["dc.contributor.author","Kirst, Christoph"],["dc.contributor.author","Timme, Marc"],["dc.date.accessioned","2018-11-07T08:48:35Z"],["dc.date.available","2018-11-07T08:48:35Z"],["dc.date.issued","2010"],["dc.description.abstract","Pulse-coupled threshold units serve as paradigmatic models for a wide range of complex systems. When the state variable of a unit crosses a threshold, the unit sends a pulse that is received by other units, thereby mediating the interactions. At the same time, the state variable of the sending unit is reset. Here we present and analyze a class of pulse-coupled oscillators where the reset may be partial only and is mediated by a partial reset function. Such a partial reset characterizes intrinsic physical or biophysical features of a unit, e. g., resistive coupling between dendrite and soma of compartmental neurons; at the same time the description in terms of a partial reset enables a rigorous mathematical investigation of the collective network dynamics. The partial reset acts as a desynchronization mechanism. For N all-to-all pulse-coupled oscillators an increase in the strength of the partial reset causes a sequence of desynchronizing bifurcations from the fully synchronous state via states with large clusters of synchronized units through states with smaller clusters to complete asynchrony. By considering inter-and intracluster stability we derive sufficient and necessary conditions for the existence and stability of cluster states on the partial reset function and on the intrinsic dynamics of the oscillators. For a specific class of oscillators we obtain a rigorous derivation of all N-1 bifurcation points and demonstrate that already arbitrarily small changes in the reset function may produce the entire sequence of bifurcations. We illustrate that the transition is robust against structural perturbations and prevails in the presence of heterogeneous network connectivity and changes in the intrinsic oscillator dynamics."],["dc.identifier.doi","10.1137/09074749X"],["dc.identifier.isi","000281108800002"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/21248"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Siam Publications"],["dc.relation.issn","0036-1399"],["dc.title","PARTIAL RESET IN PULSE-COUPLED OSCILLATORS"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","11061"],["dc.bibliographiccitation.journal","Nature Communications"],["dc.bibliographiccitation.volume","7"],["dc.contributor.author","Kirst, Christoph"],["dc.contributor.author","Timme, Marc"],["dc.contributor.author","Battaglia, Demian"],["dc.date.accessioned","2018-11-07T10:16:17Z"],["dc.date.available","2018-11-07T10:16:17Z"],["dc.date.issued","2016"],["dc.description.abstract","Flexible information routing fundamentally underlies the function of many biological and artificial networks. Yet, how such systems may specifically communicate and dynamically route information is not well understood. Here we identify a generic mechanism to route information on top of collective dynamical reference states in complex networks. Switching between collective dynamics induces flexible reorganization of information sharing and routing patterns, as quantified by delayed mutual information and transfer entropy measures between activities of a network's units. We demonstrate the power of this mechanism specifically for oscillatory dynamics and analyse how individual unit properties, the network topology and external inputs co-act to systematically organize information routing. For multi-scale, modular architectures, we resolve routing patterns at all levels. Interestingly, local interventions within one sub-network may remotely determine nonlocal network-wide communication. These results help understanding and designing information routing patterns across systems where collective dynamics co-occurs with a communication function."],["dc.identifier.doi","10.1038/ncomms11061"],["dc.identifier.isi","000373804900001"],["dc.identifier.pmid","27067257"],["dc.identifier.purl","https://resolver.sub.uni-goettingen.de/purl?gs-1/13255"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/41006"],["dc.notes.intern","Merged from goescholar"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Nature Publishing Group"],["dc.relation","info:eu-repo/grantAgreement/EC/FP7/330792/EU//DYNVIB"],["dc.relation.issn","2041-1723"],["dc.relation.orgunit","Fakultät für Physik"],["dc.rights","CC BY-NC-SA 3.0"],["dc.rights.uri","http://creativecommons.org/licenses/by-nc-sa/3.0/"],["dc.title","Dynamic information routing in complex networks"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dc.type.version","published_version"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","O17"],["dc.bibliographiccitation.issue","Suppl 1"],["dc.bibliographiccitation.journal","BMC Neuroscience"],["dc.bibliographiccitation.volume","10"],["dc.contributor.author","Kirst, Christoph"],["dc.contributor.author","Timme, Marc"],["dc.date.accessioned","2011-04-06T09:55:49Z"],["dc.date.accessioned","2021-10-11T11:34:52Z"],["dc.date.available","2011-04-06T09:55:49Z"],["dc.date.available","2021-10-11T11:34:52Z"],["dc.date.issued","2009"],["dc.identifier.citation","Kirst, Christoph; Timme, Marc (2009): Partial response to supra-threshold excitation desynchronizes spiking neurons - BMC Neuroscience, Vol. 10, Nr. Suppl 1, p. O17-"],["dc.identifier.doi","10.1186/1471-2202-10-S1-O17"],["dc.identifier.purl","https://resolver.sub.uni-goettingen.de/purl?gs-1/6047"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/90709"],["dc.language.iso","en"],["dc.notes.intern","Merged from goescholar"],["dc.relation.orgunit","Fakultät für Physik"],["dc.rights","Goescholar"],["dc.rights.access","openAccess"],["dc.rights.uri","https://goedoc.uni-goettingen.de/licenses"],["dc.subject","spiking neurons"],["dc.subject.ddc","530"],["dc.subject.ddc","573"],["dc.subject.ddc","573.8"],["dc.subject.ddc","612"],["dc.subject.ddc","612.8"],["dc.title","Partial response to supra-threshold excitation desynchronizes spiking neurons"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.version","published_version"],["dspace.entity.type","Publication"]]