Now showing 1 - 9 of 9
  • 2020Journal Article
    [["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","Physical Review E"],["dc.bibliographiccitation.volume","102"],["dc.contributor.author","Lilienkamp, Thomas"],["dc.contributor.author","Parlitz, Ulrich"],["dc.date.accessioned","2021-04-14T08:22:58Z"],["dc.date.available","2021-04-14T08:22:58Z"],["dc.date.issued","2020"],["dc.identifier.doi","10.1103/PhysRevE.102.032219"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/80756"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-399"],["dc.relation.eissn","2470-0053"],["dc.relation.issn","2470-0045"],["dc.title","Susceptibility of transient chimera states"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]
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  • 2018Journal Article
    [["dc.bibliographiccitation.issue","9"],["dc.bibliographiccitation.journal","Physical Review Letters"],["dc.bibliographiccitation.volume","120"],["dc.contributor.author","Lilienkamp, Thomas"],["dc.contributor.author","Parlitz, Ulrich"],["dc.date.accessioned","2020-12-10T18:25:45Z"],["dc.date.available","2020-12-10T18:25:45Z"],["dc.date.issued","2018"],["dc.identifier.doi","10.1103/PhysRevLett.120.094101"],["dc.identifier.eissn","1079-7114"],["dc.identifier.issn","0031-9007"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/75816"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-354"],["dc.title","Terminal Transient Phase of Chaotic Transients"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]
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  • 2022Journal Article
    [["dc.bibliographiccitation.artnumber","063118"],["dc.bibliographiccitation.issue","6"],["dc.bibliographiccitation.journal","Chaos: An Interdisciplinary Journal of Nonlinear Science"],["dc.bibliographiccitation.volume","32"],["dc.contributor.author","Nieto, Alexandre R."],["dc.contributor.author","Lilienkamp, Thomas"],["dc.contributor.author","Seoane, Jesús M."],["dc.contributor.author","Sanjuán, Miguel A. F."],["dc.contributor.author","Parlitz, Ulrich"],["dc.date.accessioned","2022-07-01T07:34:58Z"],["dc.date.available","2022-07-01T07:34:58Z"],["dc.date.issued","2022"],["dc.description.abstract","We investigate the possibility of avoiding the escape of chaotic scattering trajectories in two-degree-of-freedom Hamiltonian systems. We develop a continuous control technique based on the introduction of coupling forces between the chaotic trajectories and some periodic orbits of the system. The main results are shown through numerical simulations, which confirm that all trajectories starting near the stable manifold of the chaotic saddle can be controlled. We also show that it is possible to jump between different unstable periodic orbits until reaching a stable periodic orbit belonging to a Kolmogorov–Arnold–Moser island."],["dc.description.sponsorship"," Spanish State Research Agency 501100011033"],["dc.description.sponsorship"," European Regional Development Fund 501100008530"],["dc.identifier.doi","10.1063/5.0090150"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/112054"],["dc.language.iso","en"],["dc.notes.intern","DOI-Import GROB-581"],["dc.relation.eissn","1089-7682"],["dc.relation.issn","1054-1500"],["dc.title","Control of escapes in two-degree-of-freedom open Hamiltonian systems"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]
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  • 2017Journal Article
    [["dc.bibliographiccitation.issue","5"],["dc.bibliographiccitation.journal","Physical Review Letters"],["dc.bibliographiccitation.volume","119"],["dc.contributor.author","Lilienkamp, Thomas"],["dc.contributor.author","Christoph, Jan"],["dc.contributor.author","Parlitz, Ulrich"],["dc.date.accessioned","2020-12-10T18:25:43Z"],["dc.date.available","2020-12-10T18:25:43Z"],["dc.date.issued","2017"],["dc.identifier.doi","10.1103/PhysRevLett.119.054101"],["dc.identifier.eissn","1079-7114"],["dc.identifier.issn","0031-9007"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/75803"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-354"],["dc.title","Features of Chaotic Transients in Excitable Media Governed by Spiral and Scroll Waves"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]
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  • 2018Journal Article
    [["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Physical Review E"],["dc.bibliographiccitation.volume","98"],["dc.contributor.author","Lilienkamp, Thomas"],["dc.contributor.author","Parlitz, Ulrich"],["dc.date.accessioned","2020-12-10T18:25:37Z"],["dc.date.available","2020-12-10T18:25:37Z"],["dc.date.issued","2018"],["dc.identifier.doi","10.1103/PhysRevE.98.022215"],["dc.identifier.eissn","2470-0053"],["dc.identifier.issn","2470-0045"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/75763"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-354"],["dc.title","Scaling behavior of the terminal transient phase"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]
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  • 2019Journal Article
    [["dc.bibliographiccitation.firstpage","e0221401"],["dc.bibliographiccitation.issue","8"],["dc.bibliographiccitation.journal","PLoS One"],["dc.bibliographiccitation.volume","14"],["dc.contributor.author","Aron, Marcel"],["dc.contributor.author","Herzog, Sebastian"],["dc.contributor.author","Parlitz, Ulrich"],["dc.contributor.author","Luther, Stefan"],["dc.contributor.author","Lilienkamp, Thomas"],["dc.contributor.editor","Bondarenko, Vladimir E."],["dc.date.accessioned","2020-12-10T18:42:10Z"],["dc.date.available","2020-12-10T18:42:10Z"],["dc.date.issued","2019"],["dc.identifier.doi","10.1371/journal.pone.0221401"],["dc.identifier.eissn","1932-6203"],["dc.identifier.purl","https://resolver.sub.uni-goettingen.de/purl?gs-1/16602"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/77832"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-354"],["dc.notes.intern","Merged from goescholar"],["dc.rights","CC BY 4.0"],["dc.rights.uri","https://creativecommons.org/licenses/by/4.0"],["dc.title","Spontaneous termination of chaotic spiral wave dynamics in human cardiac ion channel models"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.version","published_version"],["dspace.entity.type","Publication"]]
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  • 2020Journal Article
    [["dc.bibliographiccitation.firstpage","051108"],["dc.bibliographiccitation.issue","5"],["dc.bibliographiccitation.journal","Chaos: An Interdisciplinary Journal of Nonlinear Science"],["dc.bibliographiccitation.volume","30"],["dc.contributor.author","Lilienkamp, Thomas"],["dc.contributor.author","Parlitz, Ulrich"],["dc.date.accessioned","2021-04-14T08:26:42Z"],["dc.date.available","2021-04-14T08:26:42Z"],["dc.date.issued","2020"],["dc.identifier.doi","10.1063/5.0011506"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/82047"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-399"],["dc.relation.eissn","1089-7682"],["dc.relation.issn","1054-1500"],["dc.title","Terminating transient chaos in spatially extended systems"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]
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  • 2022Journal Article
    [["dc.bibliographiccitation.issue","1"],["dc.bibliographiccitation.journal","Scientific Reports"],["dc.bibliographiccitation.volume","12"],["dc.contributor.author","Lilienkamp, Thomas"],["dc.contributor.author","Parlitz, Ulrich"],["dc.contributor.author","Luther, Stefan"],["dc.date.accessioned","2022-09-01T09:50:06Z"],["dc.date.available","2022-09-01T09:50:06Z"],["dc.date.issued","2022"],["dc.description.abstract","Abstract\n The conventional termination technique of life threatening cardiac arrhythmia like ventricular fibrillation is the application of a high-energy electrical defibrillation shock, coming along with severe side-effects. In order to improve the current treatment reducing these side-effects, the application of pulse sequences of lower energy instead of a single high-energy pulse are promising candidates. In this study, we show that in numerical simulations the dose-response function of pulse sequences applied to two-dimensional spiral wave chaos is not necessarily monotonously increasing, but exhibits a non-trivial frequency dependence. This insight into crucial phenomena appearing during termination attempts provides a deeper understanding of the governing termination mechanisms in general, and therefore may open up the path towards an efficient termination of cardiac arrhythmia in the future."],["dc.description.sponsorship"," Deutsches Zentrum für Herz-Kreislaufforschung http://dx.doi.org/10.13039/100010447"],["dc.description.sponsorship","Max Planck Institut for Dynamics and Self-Organization"],["dc.description.sponsorship","Max Planck Institute for Dynamics and Self-Organization (MPIDS)"],["dc.identifier.doi","10.1038/s41598-022-16068-8"],["dc.identifier.pii","16068"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/113625"],["dc.language.iso","en"],["dc.notes.intern","DOI-Import GROB-597"],["dc.relation.eissn","2045-2322"],["dc.rights.uri","https://creativecommons.org/licenses/by/4.0"],["dc.title","Non-monotonous dose response function of the termination of spiral wave chaos"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]
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  • 2018Journal Article
    [["dc.bibliographiccitation.journal","Frontiers in Physics"],["dc.bibliographiccitation.volume","6"],["dc.contributor.author","Schlemmer, Alexander"],["dc.contributor.author","Berg, Sebastian"],["dc.contributor.author","Lilienkamp, Thomas"],["dc.contributor.author","Luther, Stefan"],["dc.contributor.author","Parlitz, Ulrich"],["dc.date.accessioned","2020-12-10T18:44:37Z"],["dc.date.available","2020-12-10T18:44:37Z"],["dc.date.issued","2018"],["dc.description.abstract","Permutation entropy (PE) is a robust quantity for measuring the complexity of time series. In the cardiac community it is predominantly used in the context of electrocardiogram (ECG) signal analysis for diagnoses and predictions with a major application found in heart rate variability parameters. In this article we are combining spatial and temporal PE to form a spatiotemporal PE that captures both, complexity of spatial structures and temporal complexity at the same time. We demonstrate that the spatiotemporal PE (STPE) quantifies complexity using two datasets from simulated cardiac arrhythmia and compare it to phase singularity analysis and spatial PE (SPE). These datasets simulate ventricular fibrillation (VF) on a two-dimensional and a three-dimensional medium using the Fenton-Karma model. We show that SPE and STPE are robust against noise and demonstrate its usefulness for extracting complexity features at different spatial scales."],["dc.identifier.doi","10.3389/fphy.2018.00039"],["dc.identifier.eissn","2296-424X"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/78528"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-354"],["dc.publisher","Frontiers Media S.A."],["dc.relation.eissn","2296-424X"],["dc.rights","http://creativecommons.org/licenses/by/4.0/"],["dc.title","Spatiotemporal Permutation Entropy as a Measure for Complexity of Cardiac Arrhythmia"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]
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