Yue, Xiao-Le; Cui, Su-Ping; Zhang, Hao; Sun, Jian-Qiao; Xu, Yong Generalized cell mapping method with deep learning for global analysis and response prediction of dynamical systems. (English) Zbl 07443140 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 15, Article ID 2150229, 20 p. (2021). MSC: 68Txx 37Mxx 65Lxx PDFBibTeX XMLCite \textit{X.-L. Yue} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 15, Article ID 2150229, 20 p. (2021; Zbl 07443140) Full Text: DOI
Lv, Guangying; Gao, Hongjun; Wei, Jinlong Kinetic solutions for nonlocal stochastic conservation laws. (English) Zbl 1498.60265 Fract. Calc. Appl. Anal. 24, No. 2, 559-584 (2021). MSC: 60H15 37L55 PDFBibTeX XMLCite \textit{G. Lv} et al., Fract. Calc. Appl. Anal. 24, No. 2, 559--584 (2021; Zbl 1498.60265) Full Text: DOI arXiv
Huang, Wentao; Cao, Chengcheng; He, Dongping Quasi-periodic motion and Hopf bifurcation of a two-dimensional aeroelastic airfoil system in supersonic flow. (English) Zbl 1462.37091 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 2, Article ID 2150018, 35 p. (2021). MSC: 37M20 37M05 37G05 65L06 65P30 65P20 70K43 PDFBibTeX XMLCite \textit{W. Huang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 2, Article ID 2150018, 35 p. (2021; Zbl 1462.37091) Full Text: DOI
Guo, Y. H.; Zhang, W. Bifurcation analysis of composite laminated piezoelectric rectangular plate structure in the case of 1:2 internal resonance. (English) Zbl 1435.74059 Math. Probl. Eng. 2019, Article ID 6830274, 23 p. (2019). MSC: 74K20 34C23 37G99 70K28 74H60 PDFBibTeX XMLCite \textit{Y. H. Guo} and \textit{W. Zhang}, Math. Probl. Eng. 2019, Article ID 6830274, 23 p. (2019; Zbl 1435.74059) Full Text: DOI
Chen, Gui-Qiang G.; Pang, Peter H. C. Invariant measures for nonlinear conservation laws driven by stochastic forcing. (English) Zbl 1439.35055 Chin. Ann. Math., Ser. B 40, No. 6, 967-1004 (2019). MSC: 35B40 35K65 35K58 35L65 35R60 37A50 37C40 60H15 60G51 60J65 PDFBibTeX XMLCite \textit{G.-Q. G. Chen} and \textit{P. H. C. Pang}, Chin. Ann. Math., Ser. B 40, No. 6, 967--1004 (2019; Zbl 1439.35055) Full Text: DOI arXiv
Yue, Xiao-Le; Xu, Yong; Xu, Wei; Sun, Jian-Qiao Global invariant manifolds of dynamical systems with the compatible cell mapping method. (English) Zbl 1422.37015 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 8, Article ID 1950105, 16 p. (2019). MSC: 37D10 37M20 PDFBibTeX XMLCite \textit{X.-L. Yue} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 8, Article ID 1950105, 16 p. (2019; Zbl 1422.37015) Full Text: DOI
Gyebrószki, Gergely; Csernák, Gábor Clustered simple cell mapping: an extension to the simple cell mapping method. (English) Zbl 1473.37016 Commun. Nonlinear Sci. Numer. Simul. 42, 607-622 (2017). MSC: 37B10 37C25 PDFBibTeX XMLCite \textit{G. Gyebrószki} and \textit{G. Csernák}, Commun. Nonlinear Sci. Numer. Simul. 42, 607--622 (2017; Zbl 1473.37016) Full Text: DOI Link
Belardinelli, Pierpaolo; Lenci, Stefano An efficient parallel implementation of cell mapping methods for MDOF systems. (English) Zbl 1448.65271 Nonlinear Dyn. 86, No. 4, 2279-2290 (2016). MSC: 65P99 37M05 PDFBibTeX XMLCite \textit{P. Belardinelli} and \textit{S. Lenci}, Nonlinear Dyn. 86, No. 4, 2279--2290 (2016; Zbl 1448.65271) Full Text: DOI
Friz, Peter K.; Gess, Benjamin Stochastic scalar conservation laws driven by rough paths. (English) Zbl 1345.60055 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 4, 933-963 (2016). MSC: 60H15 60F10 35R60 35L65 37H10 PDFBibTeX XMLCite \textit{P. K. Friz} and \textit{B. Gess}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 4, 933--963 (2016; Zbl 1345.60055) Full Text: DOI arXiv
Sun, M.; Zhang, W.; Chen, J. E. Subharmonic Melnikov method of six-dimensional nonlinear systems and application to a laminated composite piezoelectric rectangular plate. (English) Zbl 1281.34016 Nonlinear Dyn. 75, No. 1-2, 289-310 (2014). MSC: 34A34 37G15 37B45 34C23 74K20 74F15 PDFBibTeX XMLCite \textit{M. Sun} et al., Nonlinear Dyn. 75, No. 1--2, 289--310 (2014; Zbl 1281.34016) Full Text: DOI
Yu, Hai; Chen, Yu-shu; Cao, Qing-jie Bifurcation analysis for nonlinear multi-degree-of-freedom rotor system with liquid-film lubricated bearings. (English) Zbl 1376.34018 Appl. Math. Mech., Engl. Ed. 34, No. 6, 777-790 (2013). MSC: 34A34 35G50 76A20 76D05 37N10 PDFBibTeX XMLCite \textit{H. Yu} et al., Appl. Math. Mech., Engl. Ed. 34, No. 6, 777--790 (2013; Zbl 1376.34018) Full Text: DOI
Awrejcewicz, J.; Krysko, A. V.; Kutepov, I. E.; Zagniboroda, N. A.; Zhigalov, M. V.; Krysko, V. A. Analysis of chaotic vibrations of flexible plates using fast Fourier transforms and wavelets. (English) Zbl 1359.74259 Int. J. Struct. Stab. Dyn. 13, No. 7, Article ID 1340005, 12 p. (2013). MSC: 74K20 74H15 74H45 74H50 37N15 PDFBibTeX XMLCite \textit{J. Awrejcewicz} et al., Int. J. Struct. Stab. Dyn. 13, No. 7, Article ID 1340005, 12 p. (2013; Zbl 1359.74259) Full Text: DOI
Zhang, W.; Guo, X. Y. Periodic and chaotic oscillations of a composite laminated plate using the third-order shear deformation plate theory. (English) Zbl 1258.34120 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 5, Paper No. 1250103, 25 p. (2012). MSC: 34C60 74K20 34C25 34C28 37J45 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{X. Y. Guo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 5, Paper No. 1250103, 25 p. (2012; Zbl 1258.34120) Full Text: DOI
Chen, FangQi; Zhou, LiangQiang; Chen, YuShu Bifurcation and chaos of an airfoil with cubic nonlinearity in incompressible flow. (English) Zbl 1237.37061 Sci. China, Technol. Sci. 54, No. 8, 1954-1965 (2011). MSC: 37N10 37G10 37C29 37D15 37D45 PDFBibTeX XMLCite \textit{F. Chen} et al., Sci. China, Technol. Sci. 54, No. 8, 1954--1965 (2011; Zbl 1237.37061) Full Text: DOI
Guo, Xiang Ying; Zhang, Wei; Yao, Minghui Nonlinear dynamics of angle-ply composite laminated thin plate with third-order shear deformation. (English) Zbl 1193.74084 Sci. China, Technol. Sci. 53, No. 3, 612-622 (2010). MSC: 74K20 37D45 74H55 PDFBibTeX XMLCite \textit{X. Y. Guo} et al., Sci. China, Technol. Sci. 53, No. 3, 612--622 (2010; Zbl 1193.74084) Full Text: DOI
Zhang, Wei; Song, Chunzhi; Ye, Min Further studies on nonlinear oscillations and chaos of a symmetric cross-ply laminated thin plate under parametric excitation. (English) Zbl 1111.37064 Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 2, 325-347 (2006). MSC: 37N05 74H65 74H45 74K20 PDFBibTeX XMLCite \textit{W. Zhang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 2, 325--347 (2006; Zbl 1111.37064) Full Text: DOI