ALBERT

All Library Books, journals and Electronic Records Telegrafenberg

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    facet.materialart.
    Unknown
    On controlling networks of limit-cycle oscillators (2016)
    American Institute of Physics (AIP)
    In: Chaos
    Details
    Publication Date: 2016-07-14
    Description: The control of network-coupled nonlinear dynamical systems is an active area of research in the nonlinear science community. Coupled oscillator networks represent a particularly important family of nonlinear systems, with applications ranging from the power grid to cardiac excitation. Here, we study the control of network-coupled limit cycle oscillators, extending the previous work that focused on phase oscillators. Based on stabilizing a target fixed point, our method aims to attain complete frequency synchronization, i.e., consensus, by applying control to as few oscillators as possible. We develop two types of controls. The first type directs oscillators towards larger amplitudes, while the second does not. We present numerical examples of both control types and comment on the potential failures of the method.
    Print ISSN: 1054-1500
    Electronic ISSN: 1089-7682
    Topics: Physics
    Published by American Institute of Physics (AIP)
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 2
    facet.materialart.
    Unknown
    Optimal synchronization of directed complex networks (2016)
    American Institute of Physics (AIP)
    In: Chaos
    Details
    Publication Date: 2016-06-24
    Description: We study optimal synchronization of networks of coupled phase oscillators. We extend previous theory for optimizing the synchronization properties of undirected networks to the important case of directed networks. We derive a generalized synchrony alignment function that encodes the interplay between the network structure and the oscillators' natural frequencies and serves as an objective measure for the network's degree of synchronization. Using the generalized synchrony alignment function, we show that a network's synchronization properties can be systematically optimized. This framework also allows us to study the properties of synchrony-optimized networks, and in particular, investigate the role of directed network properties such as nodal in- and out-degrees. For instance, we find that in optimally rewired networks, the heterogeneity of the in-degree distribution roughly matches the heterogeneity of the natural frequency distribution, but no such relationship emerges for out-degrees. We also observe that a network's synchronization properties are promoted by a strong correlation between the nodal in-degrees and the natural frequencies of oscillators, whereas the relationship between the nodal out-degrees and the natural frequencies has comparatively little effect. This result is supported by our theory, which indicates that synchronization is promoted by a strong alignment of the natural frequencies with the left singular vectors corresponding to the largest singular values of the Laplacian matrix.
    Print ISSN: 1054-1500
    Electronic ISSN: 1089-7682
    Topics: Physics
    Published by American Institute of Physics (AIP)
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 3
    facet.materialart.
    Unknown
    Frequency assortativity can induce chaos in oscillator networks (2015)
    American Physical Society (APS)
    Details
    Publication Date: 2015-06-27
    Description: Author(s): Per Sebastian Skardal, Juan G. Restrepo, and Edward Ott We investigate the effect of preferentially connecting oscillators with similar frequency to each other in networks of coupled phase oscillators (i.e., frequency assortativity). Using the network Kuramoto model as an example, we find that frequency assortativity can induce chaos in the macroscopic d… [Phys. Rev. E 91, 060902(R)] Published Wed Jun 24, 2015
    Keywords: Nonlinear Dynamics and Chaos
    Print ISSN: 1539-3755
    Electronic ISSN: 1550-2376
    Topics: Physics
    Published by American Physical Society (APS)
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 4
    facet.materialart.
    Unknown
    Erosion of synchronization in networks of coupled oscillators (2015)
    American Physical Society (APS)
    Details
    Publication Date: 2015-01-29
    Description: Author(s): Per Sebastian Skardal, Dane Taylor, Jie Sun, and Alex Arenas We report erosion of synchronization in networks of coupled phase oscillators, a phenomenon where perfect phase synchronization is unattainable in steady state, even in the limit of infinite coupling. An analysis reveals that the total erosion is separable into the product of terms characterizing co... [Phys. Rev. E 91, 010802] Published Wed Jan 28, 2015
    Keywords: Networks and Interdisciplinary Physics
    Print ISSN: 1539-3755
    Electronic ISSN: 1550-2376
    Topics: Physics
    Published by American Physical Society (APS)
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 5
    facet.materialart.
    Unknown
    Unidirectional Pinning and Hysteresis of Spatially Discordant Alternans in Cardiac Tissue (2012)
    American Physical Society (APS)
    Details
    Publication Date: 2012-03-09
    Description: Author(s): Per Sebastian Skardal, Alain Karma, and Juan G. Restrepo Spatially discordant alternans is a widely observed pattern of voltage and calcium signals in cardiac tissue that can precipitate lethal cardiac arrhythmia. Using spatially coupled iterative maps of the beat-to-beat dynamics, we explore this pattern’s dynamics in the regime of a calcium-dominated pe... [Phys. Rev. Lett. 108, 108103] Published Thu Mar 08, 2012
    Keywords: Soft Matter, Biological, and Interdisciplinary Physics
    Print ISSN: 0031-9007
    Electronic ISSN: 1079-7114
    Topics: Physics
    Published by American Physical Society (APS)
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 6
    facet.materialart.
    Unknown
    Cluster synchrony in systems of coupled phase oscillators with higher-order coupling (2011)
    American Physical Society (APS)
    Details
    Publication Date: 2011-09-17
    Description: Author(s): Per Sebastian Skardal, Edward Ott, and Juan G. Restrepo We study the phenomenon of cluster synchrony that occurs in ensembles of coupled phase oscillators when higher-order modes dominate the coupling between oscillators. For the first time, we develop a complete analytic description of the dynamics in the limit of a large number of oscillators and use i... [Phys. Rev. E 84, 036208] Published Fri Sep 16, 2011
    Keywords: Chaos and pattern formation
    Print ISSN: 1539-3755
    Electronic ISSN: 1550-2376
    Topics: Physics
    Published by American Physical Society (APS)
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 7
    facet.materialart.
    Unknown
    Hierarchical synchrony of phase oscillators in modular networks (2012)
    American Physical Society (APS)
    Details
    Publication Date: 2012-01-19
    Description: Author(s): Per Sebastian Skardal and Juan G. Restrepo We study synchronization of sinusoidally coupled phase oscillators on networks with modular structure and a large number of oscillators in each community. Of particular interest is the hierarchy of local and global synchrony, i.e., synchrony within and between communities, respectively. Using the re... [Phys. Rev. E 85, 016208] Published Wed Jan 18, 2012
    Keywords: Chaos and pattern formation
    Print ISSN: 1539-3755
    Electronic ISSN: 1550-2376
    Topics: Physics
    Published by American Physical Society (APS)
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 8
    facet.materialart.
    Unknown
    Coexisting chaotic and multi-periodic dynamics in a model of cardiac alternans (2014)
    American Institute of Physics (AIP)
    In: Chaos
    Details
    Publication Date: 2014-11-15
    Description: The spatiotemporal dynamics of cardiac tissue is an active area of research for biologists, physicists, and mathematicians. Of particular interest is the study of period-doubling bifurcations and chaos due to their link with cardiac arrhythmogenesis. In this paper, we study the spatiotemporal dynamics of a recently developed model for calcium-driven alternans in a one dimensional cable of tissue. In particular, we observe in the cable coexistence of regions with chaotic and multi-periodic dynamics over wide ranges of parameters. We study these dynamics using global and local Lyapunov exponents and spatial trajectory correlations. Interestingly, near nodes—or phase reversals—low-periodic dynamics prevail, while away from the nodes, the dynamics tend to be higher-periodic and eventually chaotic. Finally, we show that similar coexisting multi-periodic and chaotic dynamics can also be observed in a detailed ionic model.
    Print ISSN: 1054-1500
    Electronic ISSN: 1089-7682
    Topics: Physics
    Published by American Institute of Physics (AIP)
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 9
    facet.materialart.
    Unknown
    Optimal Synchronization of Complex Networks (2014)
    American Physical Society (APS)
    Details
    Publication Date: 2014-10-01
    Description: Author(s): Per Sebastian Skardal, Dane Taylor, and Jie Sun We study optimal synchronization in networks of heterogeneous phase oscillators. Our main result is the derivation of a synchrony alignment function that encodes the interplay between network structure and oscillators’ frequencies and that can be readily optimized. We highlight its utility in two ge... [Phys. Rev. Lett. 113, 144101] Published Tue Sep 30, 2014
    Keywords: Nonlinear Dynamics, Fluid Dynamics, Classical Optics, etc.
    Print ISSN: 0031-9007
    Electronic ISSN: 1079-7114
    Topics: Physics
    Published by American Physical Society (APS)
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 10
    facet.materialart.
    Unknown
    Low-dimensional dynamics of the Kuramoto model with rational frequency distributions (2018)
    American Physical Society (APS)
    Details
    Publication Date: 2018-08-10
    Description: Author(s): Per Sebastian Skardal The Kuramoto model is a paradigmatic tool for studying the dynamics of collective behavior in large ensembles of coupled dynamical systems. Over the past decade a great deal of progress has been made in analytical descriptions of the macroscopic dynamics of the Kuramoto model, facilitated by the dis... [Phys. Rev. E 98, 022207] Published Thu Aug 09, 2018
    Keywords: Nonlinear Dynamics and Chaos
    Print ISSN: 1539-3755
    Electronic ISSN: 1550-2376
    Topics: Physics
    Published by American Physical Society (APS)
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...