Zhang, Ling; Guo, Shangjiang Existence and multiplicity of wave trains in 2D lattices. (English) Zbl 1318.34020 J. Differ. Equations 257, No. 3, 759-783 (2014). Reviewer: Michael Herrmann (Saarbrücken) MSC: 34A33 34K20 34K10 × Cite Format Result Cite Review PDF Full Text: DOI
Baesens, C.; MacKay, R. S. Discommensuration theory and shadowing in Frenkel-Kontorova models. (English) Zbl 1138.82317 Physica D 216, No. 1, 179-184 (2006). MSC: 82B26 82B20 37J50 37K60 × Cite Format Result Cite Review PDF Full Text: DOI
Morgante, Anna Maria; Johansson, Magnus; Kopidakis, Georgios; Aubry, Serge Standing wave instabilities in a chain of nonlinear coupled oscillators. (English) Zbl 1005.70020 Physica D 162, No. 1-2, 53-94 (2002). MSC: 70K50 74J30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ketoja, Jukka A.; Satija, Indubala I. “Critical” phonons of the supercritical Frenkel-Kontorova model: renormalization bifurcation diagrams. (English) Zbl 0894.58063 Physica D 104, No. 2-4, 239-252 (1997). MSC: 37N99 74H45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aubry, Serge The concept of anti-integrability applied to dynamical systems and to structural and electronic models in condensed matter physics. (English) Zbl 0807.58042 Physica D 71, No. 1-2, 196-221 (1994). MSC: 37N99 81V45 74H45 × Cite Format Result Cite Review PDF Full Text: DOI
Baesens, C.; MacKay, R. S. The one to two-hole transition for cantori. (English) Zbl 0804.58031 Physica D 71, No. 4, 372-389 (1994). MSC: 37A99 × Cite Format Result Cite Review PDF Full Text: DOI
Aubry, S.; MacKay, R. S.; Baesens, C. Equivalence of uniform hyperbolicity for symplectic twist maps and phonon gap for Frenkel-Kontorova models. (English) Zbl 0802.58021 Physica D 56, No. 2-3, 123-134 (1992). MSC: 37J99 × Cite Format Result Cite Review PDF Full Text: DOI
Aubry, Serge; Abramovici, Gilles; Raimbault, Jean-Luc Chaotic polaronic and bipolaronic states in the adiabatic Holstein model. (English) Zbl 0900.82012 J. Stat. Phys. 67, No. 3-4, 675-780 (1992). MSC: 82B20 82D25 × Cite Format Result Cite Review PDF Full Text: DOI
Aubry, Serge; Abramovici, Gilles Chaotic trajectories in the standard map. The concept of anti- integrability. (English) Zbl 0713.58014 Physica D 43, No. 2-3, 199-219 (1990). Reviewer: D.Savin MSC: 37J99 37J35 37K10 35Q51 37D45 × Cite Format Result Cite Review PDF Full Text: DOI