K Efstathiou
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Synchronized clusters in globally connected networks of second-order oscillators: Uncovering the role of inertia
We discuss the formation of secondary synchronized clusters, that is, small clusters of synchronized oscillators besides the main …
J. Gao
,
K. Efstathiou
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Persistent homology of the cosmic web — I. Hierarchical topology in ΛCDM cosmologies
Using a set of Lambda cold dark matter simulations of cosmic structure formation, we study the evolving connectivity and changing …
G. Wilding
,
K. Nevenzeel
,
R. van de Weygaert
,
G. Vegter
,
P. Pranav
,
B. J. T. Jones
,
K. Efstathiou
,
J. Feldbrugge
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Recent advances in the monodromy theory of integrable Hamiltonian systems
The notion of monodromy was introduced by J. J. Duistermaat as the first obstruction to the existence of global action coordinates in …
N. Martynchuk
,
H. W. Broer
,
K. Efstathiou
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Hamiltonian monodromy and Morse theory
We show that Hamiltonian monodromy of an integrable two degrees of freedom system with a global circle action can be computed by …
N. Martynchuk
,
H. W. Broer
,
K. Efstathiou
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Reduction of oscillator dynamics on complex networks to dynamics on complete graphs through virtual frequencies
We consider the synchronization of oscillators in complex networks where there is an interplay between the oscillator dynamics and the …
J. Gao
,
K. Efstathiou
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A Lagrangian fibration of the isotropic 3-dimensional harmonic oscillator with monodromy
The isotropic harmonic oscillator in dimension 3 separates in several different coordinate systems. Separating in a particular …
I. Chiscop
,
H. R. Dullin
,
K. Efstathiou
,
H. Waalkens
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Bifurcations and monodromy of the axially symmetric 1:1:-2 resonance
We consider integrable Hamiltonian systems in three degrees of freedom near an elliptic equilibrium in 1:1:-2 resonance. The …
K. Efstathiou
,
H. Hanßmann
,
A. Marchesiello
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Scattering invariants in Euler's two-center problem
The problem of two fixed centers was introduced by Euler as early as in 1760. It plays an important role both in celestial mechanics …
N. Martynchuk
,
H. R. Dullin
,
K. Efstathiou
,
H. Waalkens
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A study of the effect of doughnut chart parameters on proportion estimation accuracy
Pie and doughnut charts nicely convey the part–whole relationship and they have become the most recognizable chart types for …
X. Cai
,
K. Efstathiou
,
X. Xie
,
Y. Wu
,
Y. Shi
,
L. Yu
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Self-consistent method and steady states of second-order oscillators
The self-consistent method, first introduced by Kuramoto, is a powerful tool for the analysis of the steady states of coupled …
J. Gao
,
K. Efstathiou
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Isochronous dynamics in pulse coupled oscillator networks with delay
We consider a network of identical pulse-coupled oscillators with delay and all-to-all coupling. We demonstrate that the discontinuous …
P. Li
,
W. Lin
,
K. Efstathiou
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Monodromy of Hamiltonian systems with complexity 1 torus actions
We consider the monodromy of $n$-torus bundles in $n$ degree of freedom integrable Hamiltonian systems with a complexity 1 torus …
K. Efstathiou
,
N. Martynchuk
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Parallel transport along Seifert manifolds and fractional monodromy
The notion of fractional monodromy was introduced by Nekhoroshev, Sadovskií and Zhilinskií as a generalization of standard (‘integer’) …
N. Martynchuk
,
K. Efstathiou
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Rotation forms and local Hamiltonian monodromy
The monodromy of torus bundles associated to completely integrable systems can be computed using geometric techniques (constructing …
K. Efstathiou
,
A. Giacobbe
,
P. Mardešić
,
D. Sugny
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CAST: effective and efficient user interaction for context-aware selection in 3D particle clouds
We present a family of three interactive Context-Aware Selection Techniques (CAST) for the analysis of large 3D particle datasets. For …
L. Yu
,
K. Efstathiou
,
P. Isenberg
,
T. Isenberg
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The Boundary-Hopf-Fold bifurcation in Filippov systems
This paper studies the, codimension-3, Boundary-Hopf-Fold (BHF) bifurcation of planar Filippov systems. Filippov systems consist of at …
K. Efstathiou
,
X. Liu
,
H. W. Broer
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Uncovering fractional monodromy
The uncovering of the role of monodromy in integrable Hamiltonian fibrations has been one of the major advances in the study of …
K. Efstathiou
,
H. W. Broer
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Efficient structure-aware selection techniques for 3D point cloud visualizations with 2DOF input
Data selection is a fundamental task in visualization because it serves as a pre-requisite to many follow-up interactions. Efficient …
L. Yu
,
K. Efstathiou
,
P. Isenberg
,
T. Isenberg
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The topology associated to cusp singular points
In this paper we investigate the global geometry associated to cusp singular points of two-degree of freedom completely integrable …
K. Efstathiou
,
A. Giacobbe
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Pacer cell response to periodic Zeitgebers
Almost all organisms show some kind of time periodicity in their behavior. In mammals, the neurons of the suprachiasmatic nucleus form …
D. G. M. Beersma
,
H. W. Broer
,
K. Efstathiou
,
K. A. Gargar
,
I. Hoveijn
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