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Main Title: Filtering Suppresses Amplitude Chimeras
Author(s): Banerjee, Tanmoy
Bandyopadhyay, Biswabibek
Zakharova, Anna
Schöll, Eckehard
Type: Article
Language Code: en
Abstract: Amplitude chimera (AC) is an interesting chimera pattern that has been discovered recently and is distinct from other chimera patterns, like phase chimeras and amplitude mediated phase chimeras. Unlike other chimeras, in the AC pattern all the oscillators have the same phase velocity, however, the oscillators in the incoherent domain show periodic oscillations with randomly shifted origin. In this paper we investigate the effect of local filtering in the coupling path on the occurrence of AC patterns. Our study is motivated by the fact that in the practical coupling channels filtering effects come into play due to the presence of dispersion and dissipation. We show that a low-pass or all-pass filtering is actually detrimental to the occurrence of AC. We quantitatively establish that with decreasing cut-off frequency of the filter, an AC transforms into a synchronized pattern. We also show that the symmetry-breaking steady state, i.e., the oscillation death state can be revoked and rhythmogenesis can be induced by local filtering. Our study will shed light on the understanding of many biological systems where spontaneous symmetry-breaking and local filtering occur simultaneously.
Issue Date: 11-Feb-2019
Date Available: 27-Aug-2019
DDC Class: 530 Physik
Subject(s): chimera
amplitude chimera
oscillation death
all-pass filter
Sponsor/Funder: DFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepte
Journal Title: Frontiers in Applied Mathematics and Statistics
Publisher: Frontiers Media S.A.
Publisher Place: Lausanne
Volume: 5
Article Number: 8
Publisher DOI: 10.3389/fams.2019.00008
EISSN: 2297-4687
Appears in Collections:FG Nichtlineare Dynamik und Kontrolle » Publications

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