Zhu, Kaixuan; Li, Ji; Xie, Yongqin; Zhang, Mingji Dynamics of non-autonomous fractional reaction-diffusion equations on \(\mathbb{R}^N\) driven by multiplicative noise. (English) Zbl 1466.35054 Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5681-5705 (2021). MSC: 35B41 35K15 35K57 35R60 PDFBibTeX XMLCite \textit{K. Zhu} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5681--5705 (2021; Zbl 1466.35054) Full Text: DOI
Gao, Peng Averaging principle for multiscale stochastic fractional Schrödinger-Korteweg-de Vries system. (English) Zbl 1465.60059 J. Stat. Phys. 181, No. 5, 1781-1816 (2020). MSC: 60H15 35Q55 70K65 70K70 PDFBibTeX XMLCite \textit{P. Gao}, J. Stat. Phys. 181, No. 5, 1781--1816 (2020; Zbl 1465.60059) Full Text: DOI
Aboelenen, Tarek Discontinuous Galerkin methods for fractional elliptic problems. (English) Zbl 1463.65359 Comput. Appl. Math. 39, No. 2, Paper No. 88, 23 p. (2020). MSC: 65N30 35R11 65N12 65N15 PDFBibTeX XMLCite \textit{T. Aboelenen}, Comput. Appl. Math. 39, No. 2, Paper No. 88, 23 p. (2020; Zbl 1463.65359) Full Text: DOI arXiv
Dou, Dou; Huang, Wen; Park, Kyewon Koh Entropy dimension of measure preserving systems. (English) Zbl 1415.37010 Trans. Am. Math. Soc. 371, No. 10, 7029-7065 (2019). MSC: 37A35 28D20 37A05 PDFBibTeX XMLCite \textit{D. Dou} et al., Trans. Am. Math. Soc. 371, No. 10, 7029--7065 (2019; Zbl 1415.37010) Full Text: DOI arXiv
Lu, Hong; Zhang, Mingji The spectral method for long-time behavior of a fractional power dissipative system. (English) Zbl 1404.65125 Taiwanese J. Math. 22, No. 2, 453-483 (2018). MSC: 65M12 65N30 65N35 35Q56 65N15 35R11 26A33 PDFBibTeX XMLCite \textit{H. Lu} and \textit{M. Zhang}, Taiwanese J. Math. 22, No. 2, 453--483 (2018; Zbl 1404.65125) Full Text: DOI Euclid
Lu, Hong; Lü, Shujuan; Zhang, Mingji Fourier spectral approximations to the dynamics of 3D fractional complex Ginzburg-Landau equation. (English) Zbl 1357.65196 Discrete Contin. Dyn. Syst. 37, No. 5, 2539-2564 (2017). MSC: 65M70 65M12 PDFBibTeX XMLCite \textit{H. Lu} et al., Discrete Contin. Dyn. Syst. 37, No. 5, 2539--2564 (2017; Zbl 1357.65196) Full Text: DOI
Lü, Shujuan; Lu, Hong; Feng, Zhaosheng Stochastic dynamics of 2D fractional Ginzburg-Landau equation with multiplicative noise. (English) Zbl 1327.37023 Discrete Contin. Dyn. Syst., Ser. B 21, No. 2, 575-590 (2016). MSC: 37L55 60H15 35Q56 35R11 35R60 PDFBibTeX XMLCite \textit{S. Lü} et al., Discrete Contin. Dyn. Syst., Ser. B 21, No. 2, 575--590 (2016; Zbl 1327.37023) Full Text: DOI
Salari, Lucia; Rondoni, Lamberto; Giberti, Claudio; Klages, Rainer A simple non-chaotic map generating subdiffusive, diffusive, and superdiffusive dynamics. (English) Zbl 1374.37063 Chaos 25, No. 7, 073113, 11 p. (2015). MSC: 37E05 PDFBibTeX XMLCite \textit{L. Salari} et al., Chaos 25, No. 7, 073113, 11 p. (2015; Zbl 1374.37063) Full Text: DOI arXiv Link
Lu, Hong; Bates, Peter W.; Xin, Jie; Zhang, Mingji Asymptotic behavior of stochastic fractional power dissipative equations on \(\mathbb{R}^n\). (English) Zbl 1337.37062 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 128, 176-198 (2015). Reviewer: Stefanie Sonner (Kaiserslautern) MSC: 37L55 35B41 35R11 35K58 PDFBibTeX XMLCite \textit{H. Lu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 128, 176--198 (2015; Zbl 1337.37062) Full Text: DOI
Lu, Hong; Bates, Peter W.; Lü, Shujuan; Zhang, Mingji Dynamics of the 3-D fractional complex Ginzburg-Landau equation. (English) Zbl 1328.35279 J. Differ. Equations 259, No. 10, 5276-5301 (2015). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35R11 35A01 35A02 35B40 35B41 35B45 PDFBibTeX XMLCite \textit{H. Lu} et al., J. Differ. Equations 259, No. 10, 5276--5301 (2015; Zbl 1328.35279) Full Text: DOI
Lu, Hong; Lü, Shujuan; Feng, Zhaosheng Asymptotic dynamics of 2d fractional complex Ginzburg-Landau equation. (English) Zbl 1284.35456 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 12, Article ID 1350202, 12 p. (2013). MSC: 35R11 35Q56 35B40 35B41 PDFBibTeX XMLCite \textit{H. Lu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 12, Article ID 1350202, 12 p. (2013; Zbl 1284.35456) Full Text: DOI
Gelfreich, V.; Rom-Kedar, V.; Turaev, D. Fermi acceleration and adiabatic invariants for non-autonomous billiards. (English) Zbl 1319.37039 Chaos 22, No. 3, 033116, 21 p. (2012). MSC: 37J40 37J45 37D50 37B55 37N20 PDFBibTeX XMLCite \textit{V. Gelfreich} et al., Chaos 22, No. 3, 033116, 21 p. (2012; Zbl 1319.37039) Full Text: DOI Link
Dou, Dou; Huang, Wen; Park, Kyewon Koh Entropy dimension of topological dynamical systems. (English) Zbl 1217.37014 Trans. Am. Math. Soc. 363, No. 2, 659-680 (2011). Reviewer: Mohammad Reza Molaei (Kerman) MSC: 37B40 54H20 PDFBibTeX XMLCite \textit{D. Dou} et al., Trans. Am. Math. Soc. 363, No. 2, 659--680 (2011; Zbl 1217.37014) Full Text: DOI arXiv
Lowenstein, J. H. Aperiodic orbits of piecewise rational rotations of convex polygons with recursive tiling. (English) Zbl 1130.37325 Dyn. Syst. 22, No. 1, 25-63 (2007). MSC: 37B10 37B05 28A80 37E45 37B50 PDFBibTeX XMLCite \textit{J. H. Lowenstein}, Dyn. Syst. 22, No. 1, 25--63 (2007; Zbl 1130.37325) Full Text: DOI
Tarasov, Vasily E. Transport equations from Liouville equations for fractional systems. (English) Zbl 1130.82335 Int. J. Mod. Phys. B 20, No. 3, 341-353 (2006). MSC: 82C70 37J05 37N20 PDFBibTeX XMLCite \textit{V. E. Tarasov}, Int. J. Mod. Phys. B 20, No. 3, 341--353 (2006; Zbl 1130.82335) Full Text: DOI arXiv
Haydn, N.; Lunedei, E.; Rossi, L.; Turchetti, G.; Vaienti, S. Multiple returns for some regular and mixing maps. (English) Zbl 1144.37354 Chaos 15, No. 3, 033109, 13 p. (2005). MSC: 37D45 PDFBibTeX XMLCite \textit{N. Haydn} et al., Chaos 15, No. 3, 033109, 13 p. (2005; Zbl 1144.37354) Full Text: DOI Link
Froeschlé, Claude; Guzzo, Massimiliano; Lega, Elena Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems. (English) Zbl 1083.37050 Celest. Mech. Dyn. Astron. 92, No. 1-3, 243-255 (2005). MSC: 37J40 70H08 PDFBibTeX XMLCite \textit{C. Froeschlé} et al., Celest. Mech. Dyn. Astron. 92, No. 1--3, 243--255 (2005; Zbl 1083.37050) Full Text: DOI
Lowenstein, J. H.; Poggiaspalla, G.; Vivaldi, F. Sticky orbits in a kicked-oscillator model. (English) Zbl 1098.37066 Dyn. Syst. 20, No. 4, 413-451 (2005). MSC: 37N05 70K55 37C80 37B10 70K40 37J45 37E99 PDFBibTeX XMLCite \textit{J. H. Lowenstein} et al., Dyn. Syst. 20, No. 4, 413--451 (2005; Zbl 1098.37066) Full Text: DOI
Tarasov, Vasily E. Dynamics of fractal solids. (English) Zbl 1111.70302 Int. J. Mod. Phys. B 19, No. 27, 4103-4114 (2005). MSC: 70F99 PDFBibTeX XMLCite \textit{V. E. Tarasov}, Int. J. Mod. Phys. B 19, No. 27, 4103--4114 (2005; Zbl 1111.70302) Full Text: DOI arXiv
Zaslavsky, G. M. Long way from the FPU-problem to chaos. (English) Zbl 1080.37082 Chaos 15, No. 1, 015103, 10 p. (2005). MSC: 37K60 37-03 37D45 37N20 82B03 PDFBibTeX XMLCite \textit{G. M. Zaslavsky}, Chaos 15, No. 1, 015103, 10 p. (2005; Zbl 1080.37082) Full Text: DOI
Buric, Nikola; Rampioni, Aldo; Turchetti, Giorgio Statistics of Poincaré recurrences for a class of smooth circle maps. (English) Zbl 1084.37032 Chaos Solitons Fractals 23, No. 5, 1829-1840 (2005). Reviewer: Oscar Bandtlow (Nottingham) MSC: 37E10 37M25 37B20 37E45 PDFBibTeX XMLCite \textit{N. Buric} et al., Chaos Solitons Fractals 23, No. 5, 1829--1840 (2005; Zbl 1084.37032) Full Text: DOI arXiv
Hu, H.; Rampioni, A.; Rossi, L.; Turchetti, G.; Vaienti, S. Statistics of Poincaré recurrences for maps with integrable and ergodic components. (English) Zbl 1080.37005 Chaos 14, No. 1, 160-171 (2004). MSC: 37A99 37A25 37D45 37E99 37J99 76F20 PDFBibTeX XMLCite \textit{H. Hu} et al., Chaos 14, No. 1, 160--171 (2004; Zbl 1080.37005) Full Text: DOI Link
Carreras, B. A.; Lynch, V. E.; Garcia, L.; Edelman, M.; Zaslavsky, G. M. Topological instability along filamented invariant surfaces. (English) Zbl 1080.76586 Chaos 13, No. 4, 1175-1187 (2003). MSC: 76X05 76F20 76E25 37N10 PDFBibTeX XMLCite \textit{B. A. Carreras} et al., Chaos 13, No. 4, 1175--1187 (2003; Zbl 1080.76586) Full Text: DOI
Afraimovich, V.; Zaslavsky, G. M. Space-time complexity in Hamiltonian dynamics. (English) Zbl 1080.37581 Chaos 13, No. 2, 519-532 (2003). MSC: 37J99 37B99 37D99 PDFBibTeX XMLCite \textit{V. Afraimovich} and \textit{G. M. Zaslavsky}, Chaos 13, No. 2, 519--532 (2003; Zbl 1080.37581) Full Text: DOI arXiv
Lyubomudrov, O.; Edelman, M.; Zaslavsky, G. M. Pseudochaotic systems and their fractional kinetics. (English) Zbl 1073.37035 Int. J. Mod. Phys. B 17, No. 22-24, Part 1, 4149-4167 (2003). MSC: 37D45 37D50 37N20 82C05 PDFBibTeX XMLCite \textit{O. Lyubomudrov} et al., Int. J. Mod. Phys. B 17, No. 22--24, Part 1, 4149--4167 (2003; Zbl 1073.37035) Full Text: DOI
Froeschlé, Claude; Lega, Elena On the diffusion along resonant lines in continuous and distrete dynamical systems. (English) Zbl 1073.37064 Int. J. Mod. Phys. B 17, No. 22-24, Part 1, 3964-3976 (2003). MSC: 37J10 37J40 PDFBibTeX XMLCite \textit{C. Froeschlé} and \textit{E. Lega}, Int. J. Mod. Phys. B 17, No. 22--24, Part 1, 3964--3976 (2003; Zbl 1073.37064) Full Text: DOI
Lowenstein, J. H.; Liu, Sangtian Propagation of round-off error in a model of quadratic rational rotations. (English) Zbl 1035.37030 Commun. Nonlinear Sci. Numer. Simul. 8, No. 3-4, 215-237 (2003). Reviewer: Franco Vivaldi (London) MSC: 37E15 37M99 PDFBibTeX XMLCite \textit{J. H. Lowenstein} and \textit{S. Liu}, Commun. Nonlinear Sci. Numer. Simul. 8, No. 3--4, 215--237 (2003; Zbl 1035.37030) Full Text: DOI
Chapman, J. R.; Osbaldestin, A. H. Self-similar correlations in a barrier billiard. (English) Zbl 1094.37018 Physica D 180, No. 1-2, 71-91 (2003). MSC: 37D50 37J10 82C05 PDFBibTeX XMLCite \textit{J. R. Chapman} and \textit{A. H. Osbaldestin}, Physica D 180, No. 1--2, 71--91 (2003; Zbl 1094.37018) Full Text: DOI
Wiersig, Jan Spectral properties of quantized barrier billiards. (English) Zbl 1244.81028 Phys. Rev. E (3) 65, No. 4, Article ID 046217, 8 p. (2002). MSC: 81Q50 82C05 82C10 PDFBibTeX XMLCite \textit{J. Wiersig}, Phys. Rev. E (3) 65, No. 4, Article ID 046217, 8 p. (2002; Zbl 1244.81028) Full Text: DOI arXiv