Demontis, Francesco; van der Mee, Cornelis From the AKNS system to the matrix Schrödinger equation with vanishing potentials: direct and inverse problems. (English) Zbl 07801256 Stud. Appl. Math. 150, No. 2, 481-519 (2023). MSC: 35Q55 35Q41 35Q53 81Q10 35R30 37K10 37K35 35P25 35B40 PDFBibTeX XMLCite \textit{F. Demontis} and \textit{C. van der Mee}, Stud. Appl. Math. 150, No. 2, 481--519 (2023; Zbl 07801256) Full Text: DOI arXiv
Vázquez, Luis; Velasco, M. Pilar; Vázquez-Poletti, J. Luis; Jiménez, Salvador; Usero, David From radiation and space exploration to the fractional calculus. (English) Zbl 1498.26017 Volchenkov, Dimitri (ed.) et al., New perspectives on nonlinear dynamics and complexity. Selected papers based on the presentations at the first conference, online, Central Time Zone, USA, November 23–25, 2020. Cham: Springer. Nonlinear Syst. Complex. 35, 89-104 (2023). MSC: 26A33 35L05 35Q41 37M05 60J60 PDFBibTeX XMLCite \textit{L. Vázquez} et al., Nonlinear Syst. Complex. 35, 89--104 (2023; Zbl 1498.26017) Full Text: DOI
Velasco, M. Pilar; Vázquez-Poletti, J. L.; Vázquez, Luis About the simulations of Maxwell equations: some applications. (English) Zbl 1520.37057 Pinto, Carla M. A. (ed.), Nonlinear dynamics and complexity. Mathematical modelling of real-world problems. Cham: Springer. Nonlinear Syst. Complex. 36, 45-54 (2022). MSC: 37M05 35Q61 74-10 78-10 PDFBibTeX XMLCite \textit{M. P. Velasco} et al., Nonlinear Syst. Complex. 36, 45--54 (2022; Zbl 1520.37057) Full Text: DOI
Anahara, Yoshihiro; Konno, Norio; Morioka, Hisashi; Segawa, Etsuo Comfortable place for quantum Walker on finite path. (English) Zbl 1508.81842 Quantum Inf. Process. 21, No. 7, Paper No. 242, 15 p. (2022). MSC: 81Q35 81P68 37B15 PDFBibTeX XMLCite \textit{Y. Anahara} et al., Quantum Inf. Process. 21, No. 7, Paper No. 242, 15 p. (2022; Zbl 1508.81842) Full Text: DOI arXiv
Demontis, Francesco; van der Mee, Cornelis A matrix Schrödinger approach to focusing nonlinear Schrödinger equations with nonvanishing boundary conditions. (English) Zbl 1492.35256 J. Nonlinear Sci. 32, No. 4, Paper No. 57, 29 p. (2022). MSC: 35Q53 35Q55 35P25 35R30 35C08 37K10 37K15 PDFBibTeX XMLCite \textit{F. Demontis} and \textit{C. van der Mee}, J. Nonlinear Sci. 32, No. 4, Paper No. 57, 29 p. (2022; Zbl 1492.35256) Full Text: DOI
Dey, Kajal Krishna; Sekh, Golam Ali Effects of random excitations on the dynamical response of Duffing systems. (English) Zbl 1464.37083 J. Stat. Phys. 182, No. 1, Paper No. 18, 14 p. (2021). Reviewer: Melvin D. Lax (Long Beach) MSC: 37M22 37H30 34F05 PDFBibTeX XMLCite \textit{K. K. Dey} and \textit{G. A. Sekh}, J. Stat. Phys. 182, No. 1, Paper No. 18, 14 p. (2021; Zbl 1464.37083) Full Text: DOI
Domínguez-Rocha, Víctor; Méndez-Sánchez, Rafael Alberto; Martínez-Mares, Moisés; Robledo, Alberto Invariant density of intermittent nonlinear maps descriptive of coherent quantum transport through disorderless lattices. (English) Zbl 07510471 Physica D 412, Article ID 132623, 6 p. (2020). MSC: 82-XX 37-XX PDFBibTeX XMLCite \textit{V. Domínguez-Rocha} et al., Physica D 412, Article ID 132623, 6 p. (2020; Zbl 07510471) Full Text: DOI
Angulo Pava, Jaime; Goloshchapova, Nataliia Stability properties of standing waves for NLS equations with the \(\delta^\prime\)-interaction. (English) Zbl 1490.35389 Physica D 403, Article ID 132332, 24 p. (2020). MSC: 35Q55 35B20 35B35 37B30 81Q10 PDFBibTeX XMLCite \textit{J. Angulo Pava} and \textit{N. Goloshchapova}, Physica D 403, Article ID 132332, 24 p. (2020; Zbl 1490.35389) Full Text: DOI
Kairzhan, Adilbek Orbital instability of standing waves for NLS equation on star graphs. (English) Zbl 1420.35363 Proc. Am. Math. Soc. 147, No. 7, 2911-2924 (2019). MSC: 35Q55 37K45 35B35 PDFBibTeX XMLCite \textit{A. Kairzhan}, Proc. Am. Math. Soc. 147, No. 7, 2911--2924 (2019; Zbl 1420.35363) Full Text: DOI arXiv
Howard, Peter; Jung, Soyeun; Kwon, Bongsuk The Maslov index and spectral counts for linear Hamiltonian systems on \([0, 1]\). (English) Zbl 1404.37064 J. Dyn. Differ. Equations 30, No. 4, 1703-1729 (2018). MSC: 37J05 34L10 PDFBibTeX XMLCite \textit{P. Howard} et al., J. Dyn. Differ. Equations 30, No. 4, 1703--1729 (2018; Zbl 1404.37064) Full Text: DOI
Pava, Jaime Angulo; Goloshchapova, Nataliia On the orbital instability of excited states for the NLS equation with the \(\delta\)-interaction on a star graph. (English) Zbl 1397.35288 Discrete Contin. Dyn. Syst. 38, No. 10, 5039-5066 (2018). MSC: 35Q55 81Q35 37K40 37K45 47E05 35B35 35B20 PDFBibTeX XMLCite \textit{J. A. Pava} and \textit{N. Goloshchapova}, Discrete Contin. Dyn. Syst. 38, No. 10, 5039--5066 (2018; Zbl 1397.35288) Full Text: DOI arXiv
Kairzhan, Adilbek; Pelinovsky, Dmitry E. Spectral stability of shifted states on star graphs. (English) Zbl 1397.35278 J. Phys. A, Math. Theor. 51, No. 9, Article ID 095203, 23 p. (2018). Reviewer: Gilles Evéquoz (Delémont) MSC: 35Q55 81Q35 35P30 35C08 37B30 PDFBibTeX XMLCite \textit{A. Kairzhan} and \textit{D. E. Pelinovsky}, J. Phys. A, Math. Theor. 51, No. 9, Article ID 095203, 23 p. (2018; Zbl 1397.35278) Full Text: DOI arXiv
Ho, Wen Wei; Radičević, Đorđe The ergodicity landscape of quantum theories. (English) Zbl 1382.81103 Int. J. Mod. Phys. A 33, No. 4, Article ID 1830004, 48 p. (2018). MSC: 81Q50 82C22 82C23 37A30 60B20 81-02 82-02 PDFBibTeX XMLCite \textit{W. W. Ho} and \textit{Đ. Radičević}, Int. J. Mod. Phys. A 33, No. 4, Article ID 1830004, 48 p. (2018; Zbl 1382.81103) Full Text: DOI arXiv
Howard, P.; Sukhtayev, A. The Maslov and Morse indices for Schrödinger operators on \([0,1]\). (English) Zbl 1337.47064 J. Differ. Equations 260, No. 5, 4499-4549 (2016). MSC: 47E05 37B30 47A75 PDFBibTeX XMLCite \textit{P. Howard} and \textit{A. Sukhtayev}, J. Differ. Equations 260, No. 5, 4499--4549 (2016; Zbl 1337.47064) Full Text: DOI arXiv
Kanzieper, Eugene Integrable aspects of universal quantum transport in chaotic cavities. (English) Zbl 1317.81133 Constr. Approx. 41, No. 3, 615-651 (2015). MSC: 81Q50 15B52 37K10 60K40 81R10 82B44 37D45 82C70 PDFBibTeX XMLCite \textit{E. Kanzieper}, Constr. Approx. 41, No. 3, 615--651 (2015; Zbl 1317.81133) Full Text: DOI arXiv
Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego Variational properties and orbital stability of standing waves for NLS equation on a star graph. (English) Zbl 1300.35129 J. Differ. Equations 257, No. 10, 3738-3777 (2014). MSC: 35Q55 81Q35 37K40 37K45 35C08 PDFBibTeX XMLCite \textit{R. Adami} et al., J. Differ. Equations 257, No. 10, 3738--3777 (2014; Zbl 1300.35129) Full Text: DOI arXiv
Berkolaiko, Gregory; Kuipers, Jack Transport moments beyond the leading order. (English) Zbl 1275.82007 New J. Phys. 13, No. 6, Article ID 063020, 40 p. (2011). MSC: 82C70 37D45 82C31 37D50 81Q20 81Q50 81U05 PDFBibTeX XMLCite \textit{G. Berkolaiko} and \textit{J. Kuipers}, New J. Phys. 13, No. 6, Article ID 063020, 40 p. (2011; Zbl 1275.82007) Full Text: DOI arXiv
Marty, Renaud; Sølna, Knut A general framework for waves in random media with long-range correlations. (English) Zbl 1223.34085 Ann. Appl. Probab. 21, No. 1, 115-139 (2011). Reviewer: Dora Selesi (Novi Sad) MSC: 34F05 34E10 35R60 37H10 60H20 PDFBibTeX XMLCite \textit{R. Marty} and \textit{K. Sølna}, Ann. Appl. Probab. 21, No. 1, 115--139 (2011; Zbl 1223.34085) Full Text: DOI arXiv
Mitchell, G. E.; Richter, A.; Weidenmüller, H. A. Random matrices and chaos in nuclear physics: nuclear reactions. (English) Zbl 1243.81232 Rev. Mod. Phys. 82, No. 4, 2845-2901 (2010). MSC: 81V35 15B52 37N30 PDFBibTeX XMLCite \textit{G. E. Mitchell} et al., Rev. Mod. Phys. 82, No. 4, 2845--2901 (2010; Zbl 1243.81232) Full Text: DOI arXiv
Sharp, Richard Degeneracy in the length spectrum for metric graphs. (English) Zbl 1221.05191 Geom. Dedicata 149, 177-188 (2010). MSC: 05C22 05C38 37C30 37C35 37D35 81Q50 PDFBibTeX XMLCite \textit{R. Sharp}, Geom. Dedicata 149, 177--188 (2010; Zbl 1221.05191) Full Text: DOI
Post, Olaf First order approach and index theorems for discrete and metric graphs. (English) Zbl 1206.81044 Ann. Henri Poincaré 10, No. 5, 823-866 (2009). MSC: 81Q35 35J10 47A53 81Q60 37B30 PDFBibTeX XMLCite \textit{O. Post}, Ann. Henri Poincaré 10, No. 5, 823--866 (2009; Zbl 1206.81044) Full Text: DOI arXiv Link
Berkolaiko, G.; Keating, Jonathan P.; Smilansky, U. Quantum ergodicity for graphs related to interval maps. (English) Zbl 1122.81037 Commun. Math. Phys. 273, No. 1, 137-159 (2007). MSC: 81Q50 37A25 37E05 37N20 37E25 PDFBibTeX XMLCite \textit{G. Berkolaiko} et al., Commun. Math. Phys. 273, No. 1, 137--159 (2007; Zbl 1122.81037) Full Text: DOI arXiv
Exner, Pavel; Hejčík, Pavel; Šeba, Petr Approximations by graphs and emergence of global structures. (English) Zbl 1142.81007 Rep. Math. Phys. 57, No. 3, 445-455 (2006). MSC: 81Q05 37D50 47B39 47N50 82C70 PDFBibTeX XMLCite \textit{P. Exner} et al., Rep. Math. Phys. 57, No. 3, 445--455 (2006; Zbl 1142.81007) Full Text: DOI arXiv
Babin, A.; Figotin, A. Linear superposition in nonlinear wave dynamics. (English) Zbl 1120.82010 Rev. Math. Phys. 18, No. 9, 971-1053 (2006). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C20 35L60 58C15 47J07 35Q53 34C15 37K60 35Q51 35Q60 39A12 PDFBibTeX XMLCite \textit{A. Babin} and \textit{A. Figotin}, Rev. Math. Phys. 18, No. 9, 971--1053 (2006; Zbl 1120.82010) Full Text: DOI arXiv