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DY: Fachverband Dynamik und Statistische Physik
DY 10: Nonlinear Dynamics, Synchronization and Chaos
DY 10.5: Vortrag
Montag, 18. März 2024, 16:00–16:15, BH-N 128
Complex state space in high dimension - Impact on chimera dynamics? — •Seungjae Lee1,2 and Katharina Krischer2 — 1Chair for Network Dynamics (cfaed) and Institute of Theoretical Physics, Technische Universität Dresden, Dresden, Germany — 2Department of Physics, Technische Universität München, Garching bei München, Germany
Chimeras, states of coexisting coherence and incoherence, constitute intriguing collective dynamics of coupled oscillators and arise from symmetry-breaking. Past research focussed on systems of (Abelian) Kuramoto-Sakaguchi (KS) phase oscillators. Recent generalizations studied ensembles of higher-dimensional non-Abelian Kuramoto oscillators moving on the surface of a D-dimensional unit sphere, rather than being confined to a unit circle. Here, we discuss observable chimera dynamics in a system of higher-dimensional KS oscillators in two-population networks. Exploiting a generalized Watanabe-Strogatz transformation and the higher-dimensional Ott-Antonsen ansatz, we explore the macroscopic collective dynamics. For 2-dimensional complex spaces, we find diverse dynamics of the order parameter vectors, depending on the strength of intra-population coupling. We in particular observe both stationary and breathing chimeras. We furthermore show the transition of the chimera state into a component-wise aperiodic dynamics as the coupling strength weakens sufficiently. The emergence of aperiodic chimera dynamics is attributed to the breaking of conserved quantities that are preserved in trajectories of stationary, breathing, and alternating chimera states.
Keywords: Chimera states; Dimension reduction methods; Synchronization; Watanabe-Strogatz transformation; Ott-Antonsen ansatz