Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 8: Networks: From Topology to Dynamics (joint session DY/SOE)

DY 8.9: Talk

Monday, April 1, 2019, 17:15–17:30, H20

Terminal Transient Phase of Chimera States — •Thomas Lilienkamp¹ and Ulrich Parlitz^{1, 2} — ¹Max Planck Institute for Dynamics and Self-Organization, Göttingen, Germany — ²Institute for Nonlinear Dynamics, Georg-August-Universität Göttingen, Germany

In spatially homogeneous systems regions with regular and coherent motion may coexist with regions where irregular and incoherent dynamics occurs. In many cases, chimera states are actually chaotic transients which self-terminate abruptly e.g. towards the completely coherent state. Recent studies of chaotic transients in various systems show, that although the process of self-termination seems to be abrupt [1], a particular final transition phase in state space could be verified, called the "Terminal Transient Phase" [2, 3]. Using small but finite perturbations it was shown, that the state space structure is significantly different in this transition zone. We detected this behavior also in different spatially extended systems which exhibit chimera states. Furthermore, the spatial distribution of perturbations which have a significant impact on trajectories just before the collapse turns out to be correlated with the state of the system. Thus, before its self-termination the chimera state is mostly "vulnerable" only at specific regions of the spatial domain.

[1] T. Lilienkamp, J. Christoph, and U. Parlitz. Phys. Rev. Lett. 119, 054101 (2017)

[2] T. Lilienkamp and U. Parlitz. Phys. Rev. Lett. 120, 094101 (2018)

[3] T. Lilienkamp and U. Parlitz, Phys. Rev. E 98, 022215 (2018)