Gu, Yiqi; Harlim, John; Liang, Senwei; Yang, Haizhao Stationary density estimation of Itô diffusions using deep learning. (English) Zbl 07670858 SIAM J. Numer. Anal. 61, No. 1, 45-82 (2023). MSC: 68T05 68T07 37N30 65N12 PDFBibTeX XMLCite \textit{Y. Gu} et al., SIAM J. Numer. Anal. 61, No. 1, 45--82 (2023; Zbl 07670858) Full Text: DOI arXiv
Zheng, Jun; Hu, Hanping A highly secure stream cipher based on analog-digital hybrid chaotic system. (English) Zbl 07805730 Inf. Sci. 587, 226-246 (2022). MSC: 94A60 37D45 34D45 PDFBibTeX XMLCite \textit{J. Zheng} and \textit{H. Hu}, Inf. Sci. 587, 226--246 (2022; Zbl 07805730) Full Text: DOI
Rabiei Motlagh, O.; Molaei Derakhtenjani, M.; Mohammadi Nejad, H. M. Oscillations on one dimensional time dependent center manifolds: algebraic curves approach. (English) Zbl 1512.34089 Collect. Math. 73, No. 3, 433-456 (2022). Reviewer: Mingji Zhang (Socorro) MSC: 34C25 34C05 37C60 34C45 34C23 PDFBibTeX XMLCite \textit{O. Rabiei Motlagh} et al., Collect. Math. 73, No. 3, 433--456 (2022; Zbl 1512.34089) Full Text: DOI
Chen, Nan; Majda, Andrew J.; Tong, Xin T. Rigorous analysis for efficient statistically accurate algorithms for solving Fokker-Planck equations in large dimensions. (English) Zbl 1410.35244 SIAM/ASA J. Uncertain. Quantif. 6, 1198-1223 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q84 76F55 65C05 37C75 93B05 82C31 35R60 PDFBibTeX XMLCite \textit{N. Chen} et al., SIAM/ASA J. Uncertain. Quantif. 6, 1198--1223 (2018; Zbl 1410.35244) Full Text: DOI arXiv
Kowalczyk, P. A novel route to a Hopf bifurcation scenario in switched systems with dead-zone. (English) Zbl 1376.37095 Physica D 348, 60-66 (2017). MSC: 37G10 93C30 34A08 34C05 PDFBibTeX XMLCite \textit{P. Kowalczyk}, Physica D 348, 60--66 (2017; Zbl 1376.37095) Full Text: DOI arXiv Link
Yao, Minghui; Zhang, Wei Multipulse heteroclinic orbits and chaotic dynamics of the laminated composite piezoelectric rectangular plate. (English) Zbl 1417.37135 Discrete Dyn. Nat. Soc. 2013, Article ID 958219, 27 p. (2013). MSC: 37D45 37G10 70J50 74F15 74M05 PDFBibTeX XMLCite \textit{M. Yao} and \textit{W. Zhang}, Discrete Dyn. Nat. Soc. 2013, Article ID 958219, 27 p. (2013; Zbl 1417.37135) Full Text: DOI
Danca, Marius-F.; Lung, Nicolae Parameter switching in a generalized Duffing system: finding the stable attractors. (English) Zbl 1329.37050 Appl. Math. Comput. 223, 101-114 (2013). MSC: 37G15 PDFBibTeX XMLCite \textit{M.-F. Danca} and \textit{N. Lung}, Appl. Math. Comput. 223, 101--114 (2013; Zbl 1329.37050) Full Text: DOI arXiv
Battelli, Flaviano; Fečkan, Michal An example of chaotic behaviour in presence of a sliding homoclinic orbit. (English) Zbl 1206.34061 Ann. Mat. Pura Appl. (4) 189, No. 4, 615-642 (2010). MSC: 34C28 34C23 34C37 37G20 34A36 PDFBibTeX XMLCite \textit{F. Battelli} and \textit{M. Fečkan}, Ann. Mat. Pura Appl. (4) 189, No. 4, 615--642 (2010; Zbl 1206.34061) Full Text: DOI
Battelli, Flaviano; Fečkan, Michal Bifurcation and chaos near sliding homoclinics. (English) Zbl 1196.34054 J. Differ. Equations 248, No. 9, 2227-2262 (2010). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C37 37G20 34C23 34A36 34C28 PDFBibTeX XMLCite \textit{F. Battelli} and \textit{M. Fečkan}, J. Differ. Equations 248, No. 9, 2227--2262 (2010; Zbl 1196.34054) Full Text: DOI
Kowalczyk, P.; Piiroinen, P. T. Two-parameter sliding bifurcations of periodic solutions in a dry-friction oscillator. (English) Zbl 1151.34031 Physica D 237, No. 8, 1053-1073 (2008). Reviewer: Alois Steindl (Wien) MSC: 34C23 34A36 37M20 65P30 70F40 34C15 PDFBibTeX XMLCite \textit{P. Kowalczyk} and \textit{P. T. Piiroinen}, Physica D 237, No. 8, 1053--1073 (2008; Zbl 1151.34031) Full Text: DOI
Danca, Marius-F. Controlling chaos in discontinuous dynamical systems. (English) Zbl 1060.93520 Chaos Solitons Fractals 22, No. 3, 605-612 (2004). MSC: 93C10 37D45 PDFBibTeX XMLCite \textit{M.-F. Danca}, Chaos Solitons Fractals 22, No. 3, 605--612 (2004; Zbl 1060.93520) Full Text: DOI
Feng, Q. A discrete model of a stochastic friction system. (English) Zbl 1040.70013 Comput. Methods Appl. Mech. Eng. 192, No. 20-21, 2339-2354 (2003). MSC: 70L05 70F40 37N05 PDFBibTeX XMLCite \textit{Q. Feng}, Comput. Methods Appl. Mech. Eng. 192, No. 20--21, 2339--2354 (2003; Zbl 1040.70013) Full Text: DOI
Danca, Marius-F. Synchronization of switch dynamical systems. (English) Zbl 1052.34047 Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 8, 1813-1826 (2002). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37D45 34C28 34A36 34A60 PDFBibTeX XMLCite \textit{M.-F. Danca}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 8, 1813--1826 (2002; Zbl 1052.34047) Full Text: DOI
di Bernardo, M.; Budd, C. J.; Champneys, A. R. Normal form maps for grazing bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems. (English) Zbl 1067.37063 Physica D 160, No. 3-4, 222-254 (2001). MSC: 37G05 34A36 34C20 34C23 70F99 PDFBibTeX XMLCite \textit{M. di Bernardo} et al., Physica D 160, No. 3--4, 222--254 (2001; Zbl 1067.37063) Full Text: DOI
Liaw, Yu-Min; Tung, Pi-Cheng Application of the differential geometric method to control a noisy chaotic system via dither smoothing. (English) Zbl 0936.93028 Phys. Lett., A 239, No. 1-2, 51-58 (1998). MSC: 93C10 37D45 93B29 PDFBibTeX XMLCite \textit{Y.-M. Liaw} and \textit{P.-C. Tung}, Phys. Lett., A 239, No. 1--2, 51--58 (1998; Zbl 0936.93028) Full Text: DOI
Kunze, M. Unbounded solutions in non-smooth dynamical systems at resonance. (English) Zbl 0915.58029 ZAMM, Z. Angew. Math. Mech. 78, Suppl. 3, S985-S986 (1998). Reviewer: M.A.Efendiev (Berlin) MSC: 37E99 PDFBibTeX XMLCite \textit{M. Kunze}, ZAMM, Z. Angew. Math. Mech. 78, S985--S986 (1998; Zbl 0915.58029) Full Text: DOI
Hinrichs, N.; Oestreich, M.; Popp, K. Dynamics of oscillators with impact and friction. (English) Zbl 0963.70552 Chaos Solitons Fractals 8, No. 4, 535-558 (1997). MSC: 70K40 70K50 37N05 PDFBibTeX XMLCite \textit{N. Hinrichs} et al., Chaos Solitons Fractals 8, No. 4, 535--558 (1997; Zbl 0963.70552) Full Text: DOI
Oestreich, M.; Hinrichs, N.; Popp, K. Bifurcation and stability analysis for a non-smooth friction oscillator. (English) Zbl 0846.70016 Arch. Appl. Mech. 66, No. 5, 301-314 (1996). MSC: 70K20 70K50 37G99 PDFBibTeX XMLCite \textit{M. Oestreich} et al., Arch. Appl. Mech. 66, No. 5, 301--314 (1996; Zbl 0846.70016) Full Text: DOI
Chen, Guanrong An overview of bifurcation, chaos and nonlinear dynamics in control systems. (English) Zbl 0825.93303 J. Franklin Inst. 331B, No. 6, 819-858 (1994). MSC: 93C15 93C10 34C28 34C23 37D45 93-02 PDFBibTeX XMLCite \textit{G. Chen}, J. Franklin Inst. 331B, No. 6, 819--858 (1994; Zbl 0825.93303) Full Text: DOI