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Titlebook: Higher-Order Systems; Federico Battiston,Giovanni Petri Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license

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The Master Stability Function for Synchronization in Simplicial Complexes,Within this framework, we study the onset of full synchronization and the conditions for the stability of a synchronized state in systems of identical dynamical units. We show that, under certain assumptions on the network topology or on the form of the coupling, these conditions can be written in t
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,Geometry, Topology and Simplicial Synchronization,ology is shown to determine the dynamical properties of the higher-order Kuramoto model. The higher-order Kuramoto model describes synchronization of topological signals, i.e., phases not only associated to the nodes of a simplicial complexes but associated also to higher-order simplices, including
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,Signal Processing on Simplicial Complexes,ks based on simplicial complexes. Key to our developments is the Hodge Laplacian matrix, a multi-relational operator that leverages the special structure of simplicial complexes and generalizes desirable properties of the Laplacian matrix in graph signal processing.
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Anton Eriksson,Timoteo Carletti,Renaud Lambiotte,Alexis Rojas,Martin Rosvalle jedoch sieht die Situation ganz anders aus. Die Disziplinen verbinden sich mehr und mehr: Künstler bauen Häuser und entwerfen Möbel, Designer und Musiker machen Kunst, Architekten und Künstler arbeiten oft gemeinsam an Projekten. Dieser Austausch und die Expansion in andere Disziplinen werfen viel
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Arkady Pikovsky,Michael Rosenblumough the contexts of the national labour regime, Pollock’s working life and the home improvements at Springs, the discussion analyses three paintings from across the drip period. In all, the chapter offers a frame for Pollock’s transcendent masculinity, at the threshold of technical virtuosity and n
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Peter Ashwin,Christian Bick,Ana Rodriguesen to battle to the death in a coliseum-style contest which takes place at the heart of the imperium. After lots have been drawn, and her younger sister has been picked out, Katniss volunteers to fight in her sibling’s place. And so, the 74th Hunger Games commence.
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Per Sebastian Skardal,Alex Arenas, master all things by calculation. This means that the world is disenchanted” (139). Behind this may be Phenomenological concepts explained by Schutz and Luckmann. We again recall William James’s dictum that . [James, ., II, 289.] Husserl also comes to the same conclusion. [Erfahrung und Urtiel, 74
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