Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Attracting Poisson Chimeras in Two-population Networks   Chimera states, i.e., dynamical states composed of coexisting synchronous and
asynchronous oscillations, have been reported to exist in diverse topologies of
oscillators in simulations and experiments. Two-population networks with
distinct intra - and inter-population coupling have served as simple model
systems for chimera states since they possess an invariant synchronized
manifold, in contrast to networks on a spatial structure. Here, we study
dynamical and spectral properties of finite-sized chimeras on two-population
networks. First, we elucidate how the Kuramoto order parameter of the finite
sized globally coupled two-population network of phase oscillators is connected
to that of the continuum limit. These findings suggest that it is suitable to
classify the chimera states according to their order parameter dynamics, and
therefore we define Poisson and Non-Poisson chimera states. We then perform a
Lyapunov analysis of these two types of chimera states which yields insight
into the full stability properties of the chimera trajectories as well as of
collective modes. In particular, our analysis also confirms that Poisson
chimeras are neutrally stable. We then introduce two types of "perturbation"
that act as small heterogeneities and render Poisson chimeras attracting: A
topological variation via the simplest nonlocal intra-population coupling that
keeps the network symmetries, and the allowance of amplitude variations in the
globally coupled two-population network, i.e., we replace the phase oscillators
by Stuart-Landau oscillators. The Lyapunov spectral properties of chimera
states in the two modified networks are investigated, exploiting an ansatz
based on the network symmetry-induced cluster pattern dynamics of the finite
size network.

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The categories of this paper are: cs
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc