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Vol 10, No 1 (2019) On the metric graph model for flows in tubular nanostructures Abstract  PDF (Eng)  similar documents
M. O. Smolkina, I. Y. Popov, I. V. Blinova, E. Milakis
"... A metric graph model is suggested for the Stokes flow concentrated in the vicinity of a network ..."
 
Vol 8, No 1 (2017) Nonlinear standing waves on planar branched systems: shrinking into metric graph Abstract  PDF (Eng)  similar documents
Z. Sobirov, D. Babajanov, D. Matrasulov
"... -called fat graphs. The shrinking limit when the domain becomes one-dimensional metric graph is studied ..."
 
Vol 10, No 6 (2019) Metric graph version of the FitzHugh–Nagumo model Abstract  PDF (Eng)  similar documents
E. G. Fedorov, A. I. Popov, I. Y. Popov
"... The FitzHugh–Nagumo model on a metric graph is studied. System of delayed differential equations ..."
 
Vol 8, No 1 (2017) Stationary nonlinear Schrӧdinger equation on the graph for the triangle with outgoing bonds Abstract  PDF (Eng)  similar documents
K. K. Sabirov, M. Aripov, D. B. Sagdullayev
"... We consider the stationary (cubic) nonlinear Schrӧdinger equation (NLSE) on a simple metric graph ..."
 
Vol 13, No 1 (2022) Networks with point-like nonlinearities Abstract  PDF (Eng)  similar documents
K. K. Sabirov, J. R. Yusupov, Kh. Sh. Matyokubov, H. Susanto, D. U. Matrasulov
"... with point-like nonlinearities on metric graphs. Explicit solutions fulfilling vertex boundary conditions ..."
 
Vol 8, No 2 (2017) Quasi-semidefinite eigenvalue problem and applications Abstract  PDF (Eng)  similar documents
L. Grubisic, J. Tambaca
"... appear in the study of complex systems, e.g. differential equations posed on metric graphs, in mixed ..."
 
Vol 15, No 5 (2024) Inverse source problem for the subdiffusion equation with edge-dependent order of time-fractional derivative on the metric star graph Abstract  PDF (Eng)  similar documents
Zarifboy A Sobirov, Ariukhan A. Turemuratova
 
Vol 12, No 3 (2021) Green’s function method for time-fractional diffusion equation on the star graph with equal bonds Abstract  PDF (Eng)  similar documents
Z. A. Sobirov, K. U. Rakhimov, R. E. Ergashov
"... problems for the time-fractional diffusion equation on the metric star graph with equal bonds. In the case ..."
 
Vol 6, No 6 (2015) Linearized KdV equation on a metric graph Abstract  PDF (Eng)  similar documents
Z. A. Sobirov, M. I. Akhmedov, O. V. Karpova, B. Jabbarova
"... We address a linearized KdV equation on metric star graphs with one incoming finite bond and two ..."
 
Vol 8, No 4 (2017) Time dependent quantum graph with loop Abstract  PDF (Eng)  similar documents
D. A. Eremin, E. N. Grishanov, O. G. Kostrov, D. S. Nikiforov, I. Y. Popov
"...    A quantum graph, consisting of a ring and segment is considered. We deal with the free Schr ..."
 
Vol 12, No 4 (2021) Dirac operator with different potentials on edges of quantum graph: resonance asymptotics Abstract  PDF (Eng)  similar documents
A. G. Belolipetskaia, I. Y. Popov
"... graph with the Kirchhoff coupling conditions at vertices is studied. The results are obtained ..."
 
Vol 15, No 4 (2024) Quantum graph as a benchmark for persistent current. Abstract  PDF (Eng)  similar documents
I. Y. Popov, A. I. Popov, P. A. Gilev, A. Chatterjee
"... for improvement of the persistence current measurement procedure. The consideration is based on the quantum graph ..."
 
Vol 11, No 2 (2020) Reduced second Zagreb index of product graphs Abstract  PDF (Eng)  similar documents
N. De
"... The reduced second Zagreb index of a graph G is defined as RM2(G) = X (dG(u)−1)(dG(v)−1), where dG ..."
 
Vol 9, No 4 (2018) Wave dynamics on time-depending graph with Aharonov-Bohm ring Abstract  PDF (Eng)  similar documents
D. A. Eremin, E. N. Grishanov, D. S. Nikiforov, I. Y. Popov
"... with wave dynamics on quantum graph consisting of AB ring coupled to a segment. It is assumed ..."
 
Vol 6, No 3 (2015) Topological damping of Aharonov-Bohm effect: quantum graphs and vertex conditions Abstract  PDF (Eng)  similar documents
O. Kurasov, A. Serio
"... The magnetic Schr¨ odinger operator was studied on a figure 8-shaped graph. It is shown ..."
 
Vol 6, No 6 (2015) The Green function for simplest quantum graphs Abstract  PDF (Eng)  similar documents
K. K. Sabirov, U. A. Aminov, Kh. Sh. Saparov, M. K. Karimov, Kh. Abdikarimov
"... We treat the problem of the Green function for quantum graphs by focusing on such topologies ..."
 
Vol 14, No 2 (2023) Optical high harmonic generation in a quantum graph Abstract  PDF (Eng)  similar documents
S. Z. Rakhmanov, I. B. Tursunov, K. Sh. Matyokubov, D. U. Matrasulov
"... High ordered harmonic generation in a quantum graph is studied by considering quantum star graph ..."
 
Vol 12, No 3 (2021) The F-index and coindex of V-Phenylenic Nanotubes and Nanotorus and their molecular complement graphs Abstract  PDF (Eng)  similar documents
M. S.Y. Alsharafi, A. Q. Alameri
"... which often appear in drug molecular graphs. In this paper, we studied the F-index and F-coindex ..."
 
Vol 13, No 4 (2022) Comparison of Gaussian and vortex beams in free-space QKD with phase encoding in turbulent atmosphere Abstract  PDF (Eng)  similar documents
I. A. Adam, D. A. Yashin, D. A. Kargina, B. A. Nasedkin
 
Vol 13, No 3 (2022) Spectral gaps for star-like quantum graph and for two coupled rings Abstract  PDF (Eng)  similar documents
I. V. Blinova, A. I. Popov, A. A. Bosova
"... The spectral problems for two types of quantum graphs are considered. We deal with star-like graph ..."
 
Vol 15, No 1 (2024) Graph spectral analysis of nonane isomers Abstract  PDF (Eng)  similar documents
B. I. Andrew, A. Anuradha
"... chemical formula but different structural arrangement. Due to this, their corresponding molecular graphs ..."
 
Vol 13, No 6 (2022) Spin Boltzmann machine Abstract  PDF (Eng)  similar documents
I. S. Lobanov
 
Vol 11, No 5 (2020) Computational analysis of some degree based topological indices of cubic structured tungsten trioxide [l,m,n] nanomultilayer Abstract  PDF (Eng)  similar documents
M. S. Duraisami, K. Parasuraman
"... Topological indices are numerical invariants of molecular graphs and are beneficial for predicting ..."
 
Vol 11, No 2 (2020) Particle transport in a network of quantum harmonic oscillators Abstract  PDF (Eng)  similar documents
J. R. Yusupov, Kh. Sh. Matyokubov, K. K. Sabirov
"... oscillators by solving the stationary Schrodinger¨ equation on metric graphs in the presence of harmonic ..."
 
Vol 11, No 2 (2020) Dynamics of polarons in branched conducting polymers Abstract  PDF (Eng)  similar documents
K. K. Sabirov, J. R. Yusupov, Kh. Sh. Matyokubov
"... dynamics in such a polymers, we use the modified SSH-model in combination with quantum graph concept ..."
 
Vol 10, No 2 (2019) A model of an electron in a quantum graph interacting with a two-level system Abstract  PDF (Eng)  similar documents
A. A. Boitsev, I. Y. Popov
"... A model of an electron in a quantum graph interacting with a two-level system is considered ..."
 
Vol 8, No 1 (2017) Tunable wave packet transport in branched periodic lattices with time-dependent external field Abstract  PDF (Eng)  similar documents
J. Yusupov
"... packet transmission in quantum star graph, we provide further discussion based on some achievements ..."
 
Vol 8, No 1 (2017) On a non-separable quantum many-particle system on the half-line Abstract  PDF (Eng)  similar documents
J. Kerner, T. Mühlenbruch
 
Vol 10, No 5 (2019) Transparent vertex boundary conditions for quantum graphs: Simplified approach Abstract  PDF (Eng)  similar documents
M. M. Aripov, K. K. Sabirov, J. R. Yusupov
"... We consider quantum graphs providing reflectionless wave transmission at the vertices. Imposing ..."
 
Vol 6, No 6 (2015) Kicked particle dynamics in quantum graphs Abstract  PDF (Eng)  similar documents
J. Yusupov, V. Eshniyozov, O. Karpova, D. Sh. Saidov
 
Vol 8, No 3 (2017) Quantum graphs with the Bethe-Sommerfeld property Abstract  PDF (Eng)  similar documents
P. Exner, O. Turek
"... if they are periodic in more than one direction, periodic quantum graphs may have gaps arbitrarily high in the spectrum ..."
 
Vol 11, No 3 (2020) M-polynomial and related degree-based topological indices of the third type of hex-derived network Abstract  PDF (Eng)  similar documents
Shibsankar Das, Shikha Rai
"... In the field of chemical graph theory, a topological index is a real number which is correlated ..."
 
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