Hofstrand, Andrew; Li, Huaiyu; Weinstein, Michael I. Discrete breathers of nonlinear dimer lattices: bridging the anti-continuous and continuous limits. (English) Zbl 1521.34013 J. Nonlinear Sci. 33, No. 4, Paper No. 59, 52 p. (2023). Reviewer: Caidi Zhao (Wenzhou) MSC: 34A33 34C25 34C15 34E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Ling; Guo, Shangjiang Existence and multiplicity of wave trains in a 2D diatomic face-centered lattice. (English) Zbl 1498.37113 J. Nonlinear Sci. 32, No. 4, Paper No. 54, 38 p. (2022). MSC: 37K60 82B20 × Cite Format Result Cite Review PDF Full Text: DOI
Hennig, Dirk; Karachalios, Nikos I. Existence of exponentially spatially localized breather solutions for lattices of nonlinearly coupled particles: Schauder’s fixed point theorem approach. (English) Zbl 1493.37088 J. Math. Phys. 62, No. 12, Article ID 123506, 12 p. (2021). Reviewer: Luen-Chau Li (University Park) MSC: 37K60 47H10 47N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lepri, Stefano; Piazza, Francesco Mechanisms for transient localization in a diatomic nonlinear chain. (English) Zbl 1476.82007 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105913, 10 p. (2021). MSC: 82C20 81V45 81V70 65T60 34C25 37K40 78A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yoshimura, Kazuyuki; Doi, Yusuke Existence of odd, even, and multi-pulse discrete breathers in infinite Fermi-Pasta-Ulam lattices. (English) Zbl 1477.37085 J. Differ. Equations 298, 560-608 (2021). MSC: 37K60 37L60 70H12 70K75 × Cite Format Result Cite Review PDF Full Text: DOI
Maier, Daniela Breather solutions on discrete necklace graphs. (English) Zbl 1464.39015 Oper. Matrices 14, No. 3, 767-776 (2020). MSC: 39A36 39A12 39A28 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Pelinovsky, Dmitry E.; Schneider, Guido The monoatomic FPU system as a limit of a diatomic FPU system. (English) Zbl 1442.35456 Appl. Math. Lett. 107, Article ID 106387, 7 p. (2020). MSC: 35Q82 82C20 37K40 37K60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yoshimura, Kazuyuki Existence of dark solitons in discrete nonlinear Schrödinger equations with non-weak couplings. (English) Zbl 1436.37090 Japan J. Ind. Appl. Math. 36, No. 3, 893-905 (2019). MSC: 37K60 35Q55 39A36 × Cite Format Result Cite Review PDF Full Text: DOI
Maiocchi, Alberto Mario Freezing of the optical-branch energy in a diatomic FPU chain. (English) Zbl 1434.82048 Commun. Math. Phys. 372, No. 1, 91-117 (2019). MSC: 82C20 82C35 20H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yoshimura, Kazuyuki Existence and stability of odd and even parity discrete breathers in Fermi-Pasta-Ulam lattices. (English) Zbl 1391.70053 SIAM J. Appl. Dyn. Syst. 16, No. 4, 2063-2095 (2017). MSC: 70H12 70H14 34A33 34C25 74J30 × Cite Format Result Cite Review PDF Full Text: DOI
Yoshimura, Kazuyuki Existence of discrete solitons in discrete nonlinear Schrödinger equations with non-weak couplings. (English) Zbl 1352.37183 Japan J. Ind. Appl. Math. 33, No. 2, 379-400 (2016). MSC: 37K60 35Q55 37K40 39A12 39A14 × Cite Format Result Cite Review PDF Full Text: DOI
Qin, Wen-Xin Modulation of uniform motion in diatomic Frenkel-Kontorova model. (English) Zbl 1305.82039 Discrete Contin. Dyn. Syst. 34, No. 9, 3773-3788 (2014). MSC: 82C20 34C15 34C60 34K13 37K60 49J35 70F45 82D20 × Cite Format Result Cite Review PDF Full Text: DOI
Betti, Matthew; Pelinovsky, Dmitry E. Periodic traveling waves in diatomic granular chains. (English) Zbl 1405.34016 J. Nonlinear Sci. 23, No. 5, 689-730 (2013). MSC: 34A33 37L60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yoshimura, Kazuyuki Stability of discrete breathers in nonlinear Klein-Gordon type lattices with pure anharmonic couplings. (English) Zbl 1278.82059 J. Math. Phys. 53, No. 10, 102701, 20 p. (2012). MSC: 82D25 35Q55 35C08 39A12 35B35 × Cite Format Result Cite Review PDF Full Text: DOI
Vainchtein, Anna; Kevrekidis, Panayotis G. Dynamics of phase transitions in a piecewise linear diatomic chain. (English) Zbl 1366.37139 J. Nonlinear Sci. 22, No. 1, 107-134 (2012). MSC: 37K60 74N10 74N20 × Cite Format Result Cite Review PDF Full Text: DOI
Wattis, Jonathan A. D.; Pickering, Andrew; Gordoa, Pilar R. Combined breathing-kink modes in the FPU lattice. (English) Zbl 1208.37042 Physica D 240, No. 7, 547-553 (2011). MSC: 37K40 37K35 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Aubry, S.; Schilling, R. Anomalous thermostat and intraband discrete breathers. (English) Zbl 1214.37053 Physica D 238, No. 20, 2045-2061 (2009). Reviewer: Caidi Zhao (Wenzhou) MSC: 37L60 82C31 60J65 35Q82 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
James, Guillaume; Noble, Pascal; Sire, Yannick Continuation of relative periodic orbits in a class of triatomic Hamiltonian systems. (English) Zbl 1202.37082 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 4, 1237-1264 (2009). Reviewer: Juntao Sun (Hunan) MSC: 37J45 37J20 37J25 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
James, Guillaume; Noble, Pascal Weak coupling limit and localized oscillations in Euclidean invariant Hamiltonian systems. (English) Zbl 1200.70015 J. Nonlinear Sci. 18, No. 4, 433-461 (2008). MSC: 70H99 70K42 × Cite Format Result Cite Review PDF Full Text: DOI
Flach, Sergej; Gorbach, Andrey Computational studies of discrete breathers – from basics to competing length scales. (English) Zbl 1130.37407 Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 6, 1645-1669 (2006). MSC: 37L60 37K60 82C20 × Cite Format Result Cite Review PDF Full Text: DOI
Ivić, Zoran; Tsironis, G. P. Biphonons in the \(\beta\)-Fermi-Pasta-Ulam model. (English) Zbl 1126.82023 Physica D 216, No. 1, 200-206 (2006). Reviewer: Iván Abonyi (Budapest) MSC: 82C20 × Cite Format Result Cite Review PDF Full Text: DOI
Aubry, S. Discrete breathers: localization and transfer of energy in discrete Hamiltonian nonlinear systems. (English) Zbl 1159.82312 Physica D 216, No. 1, 1-30 (2006). MSC: 82C20 34B45 37K60 39A12 70K75 82-02 82C05 × Cite Format Result Cite Review PDF Full Text: DOI
Iooss, Gérard; James, Guillaume Localized waves in nonlinear oscillator chains. (English) Zbl 1080.37080 Chaos 15, No. 1, 015113, 15 p. (2005). MSC: 37K60 34C15 35Q53 37D10 37G05 37K50 82B05 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Flach, S.; Gorbach, A. Discrete breathers in Fermi-Pasta-Ulam lattices. (English) Zbl 1080.37079 Chaos 15, No. 1, 015112, 10 p. (2005). MSC: 37K60 82B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ivanchenko, M. V.; Kanakov, O. I.; Shalfeev, V. D.; Flach, S. Discrete breathers in transient processes and thermal equilibrium. (English) Zbl 1062.37097 Physica D 198, No. 1-2, 120-135 (2004). MSC: 37K60 82C80 × Cite Format Result Cite Review PDF Full Text: DOI
James, Guillaume; Noble, Pascal Breathers on diatomic Fermi-Pasta-Ulam lattices. (English) Zbl 1081.82003 Physica D 196, No. 1-2, 124-171 (2004). MSC: 82B20 37L10 37L60 81V80 × Cite Format Result Cite Review PDF Full Text: DOI
MacKay, R. S. Optic discrete breathers in Euclidean invariant systems. (English) Zbl 1043.37510 Int. J. Nonlinear Sci. Numer. Simul. 1, No. 2, 99-103 (2000). MSC: 37K60 × Cite Format Result Cite Review PDF Full Text: DOI
Hörnquist, Michael; Lennholm, Erik; Basu, Chandan Discrete breathers in aperiodic diatomic FPU lattices with long range order. (English) Zbl 1032.37501 Physica D 136, No. 1-2, 93-124 (2000). MSC: 37N20 × Cite Format Result Cite Review PDF Full Text: DOI
Archilla, J. F. R.; MacKay, R. S.; Marín, J. L. Discrete breathers and Anderson modes: two faces of the same phenomenon? (English) Zbl 1076.37528 Physica D 134, No. 4, 406-418 (1999). MSC: 37K60 37J99 82B44 × Cite Format Result Cite Review PDF Full Text: DOI
Kopidakis, G.; Aubry, S. Intraband discrete breathers in disordered nonlinear systems. I: Delocalization. (English) Zbl 0943.70016 Physica D 130, No. 3-4, 155-186 (1999). MSC: 70L05 70K99 82D30 × Cite Format Result Cite Review PDF Full Text: DOI
Flach, S. (ed.); Mackay, Robert S. (ed.) Localization in nonlinear lattices. Proceedings of the workshop, Dresden, Germany, April 7–11, 1997. (English) Zbl 0935.00041 Physica D 119, No. 1-2, 238 p. (1998). MSC: 00B25 37-06 81-06 82-06 × Cite Format Result Cite Review PDF Full Text: DOI
Abel, Markus; Spicci, M. Nonlinear localized periodic solutions in a coupled map lattice. (English) Zbl 0948.37009 Physica D 119, No. 1-2, 22-33 (1998). Reviewer: Messoud Efendiev (Berlin) MSC: 37C27 37J05 × Cite Format Result Cite Review PDF Full Text: DOI
Bambusi, Dario Some stability properties of breathers in Hamiltonian networks of oscillators. (English) Zbl 0988.37080 Physica D 119, No. 1-2, 47-55 (1998). Reviewer: Messoud Efendiev (Berlin) MSC: 37K05 70H15 70K99 × Cite Format Result Cite Review PDF Full Text: DOI
Aubry, Serge; Cretegny, Thierry Mobility and reactivity of discrete breathers. (English) Zbl 1030.34501 Physica D 119, No. 1-2, 34-46 (1998). MSC: 34C15 37K60 70K99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aubry, Serge Discrete breathers in anharmonic models with acoustic phonons. (English) Zbl 0905.70017 Ann. Inst. Henri Poincaré, Phys. Théor. 68, No. 4, 381-420 (1998). MSC: 70K99 81V55 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML