Partial Inverse Problems for Dirac Operators on Star Graphs
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DOI: 10.1007/s00009-020-01620-5
Abstract: Partial inverse problems for Dirac operators on star graphs are studied. We consider Dirac operators on the graphs, and prove that the potential on one edge is uniquely determined by part of its spectra and… read more here.
Keywords: dirac operators; problems dirac; star graphs; inverse problems ... See more keywords
Traces for Sturm–Liouville Operators with Frozen Argument on Star Graphs
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DOI: 10.1007/s00025-020-1165-x
Abstract: In this paper, Sturm-Liouville operators with frozen argument on star graphs are studied. First, we derive the asymptotic expression for the large eigenvalues. Second, the regularized trace formulae for these operators are calculated with the… read more here.
Keywords: sturm liouville; frozen argument; operators frozen; star graphs ... See more keywords
Deadlocks in the synchronization of pulse-coupled oscillators on star graphs.
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DOI: 10.1103/physreve.102.062211
Abstract: Some convergence proofs for systems of oscillators with inhibitory pulse coupling assume that all initial phases reside in one half of their domain. A violation of this assumption can trigger deadlocks that prevent synchronization. We… read more here.
Keywords: coupled oscillators; synchronization pulse; star graphs; deadlocks synchronization ... See more keywords
On the Nodal Structure of Nonlinear Stationary Waves on Star Graphs
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DOI: 10.3390/sym11020185
Abstract: We consider stationary waves on nonlinear quantum star graphs, i.e., solutions to the stationary (cubic) nonlinear Schrödinger equation on a metric star graph with Kirchhoff matching conditions at the centre. We prove the existence of… read more here.
Keywords: nonlinear stationary; stationary waves; star graphs; nodal structure ... See more keywords