Komech, Alexander I. On quantum jumps and attractors of the Maxwell-Schrödinger equations. (English. French summary) Zbl 07495621 Ann. Math. Qué. 46, No. 1, 139-159 (2022). MSC: 35Q40 35Q55 35Q41 35Q60 35L70 35P30 35B20 35B41 35C08 78A45 47J10 47J35 37K06 35R03 PDF BibTeX XML Cite \textit{A. I. Komech}, Ann. Math. Qué. 46, No. 1, 139--159 (2022; Zbl 07495621) Full Text: DOI OpenURL
Komech, Aleksandr I.; Kopylova, Elena A. Attractors of nonlinear Hamiltonian partial differential equations. (English. Russian original) Zbl 1439.35001 Russ. Math. Surv. 75, No. 1, 1-87 (2020); translation from Usp. Mat. Nauk 75, No. 1, 3-94 (2020). MSC: 35-02 35B41 35B40 35C08 35L71 35B06 PDF BibTeX XML Cite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Russ. Math. Surv. 75, No. 1, 1--87 (2020; Zbl 1439.35001); translation from Usp. Mat. Nauk 75, No. 1, 3--94 (2020) Full Text: DOI arXiv OpenURL
Komech, Alexander Attractors of Hamilton nonlinear PDEs. (English) Zbl 1382.35049 Discrete Contin. Dyn. Syst. 36, No. 11, 6201-6256 (2016). Reviewer: Jauber C. Oliveira (Florianopolis) MSC: 35B41 35L70 35Q40 PDF BibTeX XML Cite \textit{A. Komech}, Discrete Contin. Dyn. Syst. 36, No. 11, 6201--6256 (2016; Zbl 1382.35049) Full Text: DOI OpenURL
Vakakis, Alexander F.; Al-Shudeifat, Mohammad A.; Hasan, M. Arif Interactions of propagating waves in a one-dimensional chain of linear oscillators with a strongly nonlinear local attachment. (English) Zbl 1299.70027 Meccanica 49, No. 10, 2375-2397 (2014). MSC: 70F45 70K99 PDF BibTeX XML Cite \textit{A. F. Vakakis} et al., Meccanica 49, No. 10, 2375--2397 (2014; Zbl 1299.70027) Full Text: DOI OpenURL
Komech, Alexander; Komech, Andrew On global attraction to solitary waves for the Klein-Gordon field coupled to several nonlinear oscillators. (English) Zbl 1180.35124 J. Math. Pures Appl. (9) 93, No. 1, 91-111 (2010). MSC: 35B41 37K40 37L30 37N20 81Q05 35C05 PDF BibTeX XML Cite \textit{A. Komech} and \textit{A. Komech}, J. Math. Pures Appl. (9) 93, No. 1, 91--111 (2010; Zbl 1180.35124) Full Text: DOI arXiv OpenURL
Kopylova, E. A. Existence of solitary waves for the discrete Schrödinger equation coupled to a nonlinear oscillator. (English) Zbl 1186.35205 Russ. J. Math. Phys. 15, No. 4, 487-492 (2008). MSC: 35Q55 35C08 35B40 35B35 PDF BibTeX XML Cite \textit{E. A. Kopylova}, Russ. J. Math. Phys. 15, No. 4, 487--492 (2008; Zbl 1186.35205) Full Text: DOI arXiv OpenURL
Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D. On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. (English) Zbl 1185.35247 Commun. Partial Differ. Equations 33, No. 4, 669-705 (2008). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 35Q51 35B35 35B40 37K40 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., Commun. Partial Differ. Equations 33, No. 4, 669--705 (2008; Zbl 1185.35247) Full Text: DOI arXiv Link OpenURL
Komech, A. I.; Komech, A. A. Global well-posedness for the Schrödinger equation coupled to a nonlinear oscillator. (English) Zbl 1125.35092 Russ. J. Math. Phys. 14, No. 2, 164-173 (2007). MSC: 35Q40 35B30 37K05 37L30 81Q05 PDF BibTeX XML Cite \textit{A. I. Komech} and \textit{A. A. Komech}, Russ. J. Math. Phys. 14, No. 2, 164--173 (2007; Zbl 1125.35092) Full Text: DOI arXiv OpenURL