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 PDFBibTeX XMLCite \textit{K. Yoshimura} and \textit{Y. Doi}, J. Differ. Equations 298, 560--608 (2021; Zbl 1477.37085) Full Text: DOI
Chen, Peng Periodic motion for FPU lattice dynamical systems with the strongly indefinite case. (English) Zbl 1462.34034 Appl. Math. Lett. 113, Article ID 106837, 9 p. (2021). MSC: 34A33 34C25 PDFBibTeX XMLCite \textit{P. Chen}, Appl. Math. Lett. 113, Article ID 106837, 9 p. (2021; Zbl 1462.34034) Full Text: DOI
Chen, Peng; Hu, Die; Zhang, Yuanyuan Ground states for infinite lattices with nearest neighbor interaction. (English) Zbl 1496.37078 Bound. Value Probl. 2020, Paper No. 148, 11 p. (2020). MSC: 37K60 34A33 39A23 PDFBibTeX XMLCite \textit{P. Chen} et al., Bound. Value Probl. 2020, Paper No. 148, 11 p. (2020; Zbl 1496.37078) Full Text: DOI
Arioli, Gianni; Koch, Hans Some breathers and multi-breathers for FPU-type chains. (English) Zbl 1521.37087 Commun. Math. Phys. 372, No. 3, 1117-1146 (2019). MSC: 37K60 37K40 82C22 PDFBibTeX XMLCite \textit{G. Arioli} and \textit{H. Koch}, Commun. Math. Phys. 372, No. 3, 1117--1146 (2019; Zbl 1521.37087) Full Text: DOI arXiv
Sun, Jijiang; Ma, Shiwang Periodic motions for FPU lattice systems with asymptotically quadratic potentials. (English) Zbl 1410.37064 J. Dyn. Differ. Equations 31, No. 1, 237-245 (2019). MSC: 37K60 34C25 70F45 70G75 PDFBibTeX XMLCite \textit{J. Sun} and \textit{S. Ma}, J. Dyn. Differ. Equations 31, No. 1, 237--245 (2019; Zbl 1410.37064) Full Text: DOI
Arioli, Gianni; Gazzola, Filippo A new mathematical explanation of what triggered the catastrophic torsional mode of the tacoma narrows bridge. (English) Zbl 1432.74007 Appl. Math. Modelling 39, No. 2, 901-912 (2015). MSC: 74-10 74H45 74K05 PDFBibTeX XMLCite \textit{G. Arioli} and \textit{F. Gazzola}, Appl. Math. Modelling 39, No. 2, 901--912 (2015; Zbl 1432.74007) Full Text: DOI
Fontich, Ernest; de la Llave, Rafael; Sire, Yannick Construction of invariant whiskered tori by a parameterization method. II: Quasi-periodic and almost periodic breathers in coupled map lattices. (English) Zbl 1351.37258 J. Differ. Equations 259, No. 6, 2180-2279 (2015). MSC: 37K60 35Q70 37J40 37D05 70H08 70K43 PDFBibTeX XMLCite \textit{E. Fontich} et al., J. Differ. Equations 259, No. 6, 2180--2279 (2015; Zbl 1351.37258) Full Text: DOI arXiv
Sun, Jijiang; Ma, Shiwang Nontrivial periodic motions for resonant type asymptotically linear lattice dynamical systems. (English) Zbl 1309.34072 J. Math. Anal. Appl. 417, No. 2, 622-634 (2014). MSC: 34C25 34A33 58E50 PDFBibTeX XMLCite \textit{J. Sun} and \textit{S. Ma}, J. Math. Anal. Appl. 417, No. 2, 622--634 (2014; Zbl 1309.34072) Full Text: DOI
Sun, Jijiang; Ma, Shiwang Multiple periodic solutions for lattice dynamical systems with superquadratic potentials. (English) Zbl 1318.37026 J. Differ. Equations 255, No. 8, 2534-2563 (2013). MSC: 37K60 34C25 70F45 34A33 PDFBibTeX XMLCite \textit{J. Sun} and \textit{S. Ma}, J. Differ. Equations 255, No. 8, 2534--2563 (2013; Zbl 1318.37026) Full Text: DOI
Wang, Chao; Qian, Dingbian The existence of periodic solutions for a class of nonautonomous lattices with bounded-coupling. (English) Zbl 1172.34325 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5-6, 1438-1444 (2009). MSC: 34C25 34C15 34A35 PDFBibTeX XMLCite \textit{C. Wang} and \textit{D. Qian}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5--6, 1438--1444 (2009; Zbl 1172.34325) Full Text: DOI
Arioli, Gianni; Szulkin, Andrzej; Zou, Wenming Multibump solutions and critical groups. (English) Zbl 1175.37066 Trans. Am. Math. Soc. 361, No. 6, 3159-3187 (2009). Reviewer: Hans-Bert Rademacher (Leipzig) MSC: 37J45 34C28 35J20 35Q55 PDFBibTeX XMLCite \textit{G. Arioli} et al., Trans. Am. Math. Soc. 361, No. 6, 3159--3187 (2009; Zbl 1175.37066) Full Text: DOI
Kreiner, Carl-Friedrich; Zimmer, Johannes Travelling wave solutions for the discrete sine-Gordon equation with nonlinear pair interaction. (English) Zbl 1160.37415 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 9, 3146-3158 (2009). MSC: 37K60 74J30 34A34 49J35 PDFBibTeX XMLCite \textit{C.-F. Kreiner} and \textit{J. Zimmer}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 9, 3146--3158 (2009; Zbl 1160.37415) Full Text: DOI Link
Terracini, Susanna Multi-modal periodic trajectories in Fermi-Pasta-Ulam chains. (English) Zbl 1213.37091 Staicu, Vasile (ed.), Differential equations, chaos and variational problems. Papers from the conference “Views on ODE’s”, Aveiro, Portugal, June 2006. Basel: Birkhäuser (ISBN 978-3-7643-8481-4/hbk). Progress in Nonlinear Differential Equations and Their Applications 75, 415-424 (2008). MSC: 37J45 34C25 37J05 70H05 70K42 82B05 PDFBibTeX XMLCite \textit{S. Terracini}, Prog. Nonlinear Differ. Equ. Appl. 75, 415--424 (2008; Zbl 1213.37091) Full Text: DOI
Wang, Chao; Qian, Dingbian Periodic motions of a class of forced infinite lattices with nearest neighbor interaction. (English) Zbl 1160.34039 J. Math. Anal. Appl. 340, No. 1, 44-52 (2008). Reviewer: Pedro J. Torres (Granada) MSC: 34C25 82C20 82C22 37K60 PDFBibTeX XMLCite \textit{C. Wang} and \textit{D. Qian}, J. Math. Anal. Appl. 340, No. 1, 44--52 (2008; Zbl 1160.34039) Full Text: DOI
Tang, Chun-Lei; Guo, Boling Multiple periodic solutions for two-dimensional lattice dynamic systems. (English) Zbl 1107.34036 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 65, No. 7, 1306-1317 (2006). Reviewer: Gani T. Stamov (Sliven) MSC: 34C25 34A35 37J45 PDFBibTeX XMLCite \textit{C.-L. Tang} and \textit{B. Guo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 65, No. 7, 1306--1317 (2006; Zbl 1107.34036) Full Text: DOI
Arioli, Gianni; Koch, Hans; Terracini, Susanna Two novel methods and multi-mode periodic solutions for the Fermi-Pasta-Ulam model. (English) Zbl 1076.70008 Commun. Math. Phys. 255, No. 1, 1-19 (2005). MSC: 70F99 70G75 82C05 37L60 58E05 PDFBibTeX XMLCite \textit{G. Arioli} et al., Commun. Math. Phys. 255, No. 1, 1--19 (2005; Zbl 1076.70008) Full Text: DOI
Ackermann, Nils; Weth, Tobias Multibump solutions of nonlinear periodic Schrödinger equations in a degenerate setting. (English) Zbl 1070.35083 Commun. Contemp. Math. 7, No. 3, 269-298 (2005). MSC: 35Q55 35J60 47H07 PDFBibTeX XMLCite \textit{N. Ackermann} and \textit{T. Weth}, Commun. Contemp. Math. 7, No. 3, 269--298 (2005; Zbl 1070.35083) 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 PDFBibTeX XMLCite \textit{G. James} and \textit{P. Noble}, Physica D 196, No. 1--2, 124--171 (2004; Zbl 1081.82003) Full Text: DOI
Yang, Xiao-Song; Chen, Guanrong Can state feedback stabilize a chaotic orbit uniformly and asymptotically in the sense of orbital stability? (English) Zbl 1038.37028 Chaos Solitons Fractals 15, No. 2, 297-301 (2003). MSC: 37D45 93D15 PDFBibTeX XMLCite \textit{X.-S. Yang} and \textit{G. Chen}, Chaos Solitons Fractals 15, No. 2, 297--301 (2003; Zbl 1038.37028) Full Text: DOI
Arioli, Gianni; Szulkin, Andrzej Homoclinic solutions of Hamiltonian systems with symmetry. (English) Zbl 0944.37030 J. Differ. Equations 158, No. 2, 291-313 (1999). Reviewer: S.Yu.Pilyugin (St.Peterburg) MSC: 37J45 37J40 PDFBibTeX XMLCite \textit{G. Arioli} and \textit{A. Szulkin}, J. Differ. Equations 158, No. 2, 291--313 (1999; Zbl 0944.37030) Full Text: DOI
Smets, D.; Willem, M. Solitary waves with prescribed speed on infinite lattices. (English) Zbl 0889.34059 J. Funct. Anal. 149, No. 1, 266-275 (1997). Reviewer: A.Dishliev (Sofia) MSC: 34K99 70K99 PDFBibTeX XMLCite \textit{D. Smets} and \textit{M. Willem}, J. Funct. Anal. 149, No. 1, 266--275 (1997; Zbl 0889.34059) Full Text: DOI
Arioli, G.; Gazzola, F. Existence and numerical approximation of periodic motions of an infinite lattice of particles. (English) Zbl 0838.34046 Z. Angew. Math. Phys. 46, No. 6, 898-912 (1995). Reviewer: Á.Bosznay (Budapest) MSC: 34C25 70F99 PDFBibTeX XMLCite \textit{G. Arioli} and \textit{F. Gazzola}, Z. Angew. Math. Phys. 46, No. 6, 898--912 (1995; Zbl 0838.34046) Full Text: DOI