Wang, Yuxing; Wei, Chunyu Nonlinear dynamic analysis of solution multiplicity of buoyancy ventilation in two vertically connected open cavities with unequal heights. (English) Zbl 1452.37089 Complexity 2020, Article ID 9026516, 17 p. (2020). MSC: 37N10 76N25 76B10 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{C. Wei}, Complexity 2020, Article ID 9026516, 17 p. (2020; Zbl 1452.37089) Full Text: DOI
Fu, Lin A very-high-order TENO scheme for all-speed gas dynamics and turbulence. (English) Zbl 07674836 Comput. Phys. Commun. 244, 117-131 (2019). MSC: 76-XX 37-XX PDFBibTeX XMLCite \textit{L. Fu}, Comput. Phys. Commun. 244, 117--131 (2019; Zbl 07674836) Full Text: DOI
Li, Xiaoming; Liao, Shijun Clean numerical simulation: a new strategy to obtain reliable solutions of chaotic dynamic systems. (English) Zbl 1404.37094 AMM, Appl. Math. Mech., Engl. Ed. 39, No. 11, 1529-1546 (2018). MSC: 37M05 65P20 PDFBibTeX XMLCite \textit{X. Li} and \textit{S. Liao}, AMM, Appl. Math. Mech., Engl. Ed. 39, No. 11, 1529--1546 (2018; Zbl 1404.37094) Full Text: DOI arXiv
Varsakelis, Christos; Anagnostidis, P. On the susceptibility of numerical methods to computational chaos and superstability. (English) Zbl 1510.65316 Commun. Nonlinear Sci. Numer. Simul. 33, 118-132 (2016). MSC: 65P20 37D45 PDFBibTeX XMLCite \textit{C. Varsakelis} and \textit{P. Anagnostidis}, Commun. Nonlinear Sci. Numer. Simul. 33, 118--132 (2016; Zbl 1510.65316) Full Text: DOI
Mrozek, Marian; Srzednicki, Roman; Weilandt, Frank A topological approach to the algorithmic computation of the Conley index for Poincaré maps. (English) Zbl 1325.65175 SIAM J. Appl. Dyn. Syst. 14, No. 3, 1348-1386 (2015). MSC: 65P20 37B10 37C25 37B30 37B55 PDFBibTeX XMLCite \textit{M. Mrozek} et al., SIAM J. Appl. Dyn. Syst. 14, No. 3, 1348--1386 (2015; Zbl 1325.65175) Full Text: DOI
Gawlik, E. S.; Mullen, P.; Pavlov, D.; Marsden, J. E.; Desbrun, M. Geometric, variational discretization of continuum theories. (English) Zbl 1366.37148 Physica D 240, No. 21, 1724-1760 (2011). MSC: 37N10 37M99 65K10 76A02 76W05 PDFBibTeX XMLCite \textit{E. S. Gawlik} et al., Physica D 240, No. 21, 1724--1760 (2011; Zbl 1366.37148) Full Text: DOI arXiv
Mrozek, Marian; Srzednicki, Roman Topological approach to rigorous numerics of chaotic dynamical systems with strong expansion of error bounds. (English) Zbl 1192.65152 Found. Comput. Math. 10, No. 2, 191-220 (2010). Reviewer: Ivan Secrieru (Chişinău) MSC: 65P20 37B30 37B55 37C25 PDFBibTeX XMLCite \textit{M. Mrozek} and \textit{R. Srzednicki}, Found. Comput. Math. 10, No. 2, 191--220 (2010; Zbl 1192.65152) Full Text: DOI
Tramontana, F.; Gardini, L.; Fournier-Prunaret, D.; Charge, P. Knot points in two-dimensional maps and related properties. (English) Zbl 1170.37320 Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 2, 545-555 (2009). MSC: 37E30 37D45 PDFBibTeX XMLCite \textit{F. Tramontana} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 2, 545--555 (2009; Zbl 1170.37320) Full Text: DOI
Bischi, Gian-Italo; Gardini, Laura; Mira, Christian Plane maps with denominator . Part III: Nonsimple focal points and related bifurcations. (English) Zbl 1082.37042 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 2, 451-496 (2005). MSC: 37E30 37G10 37C20 PDFBibTeX XMLCite \textit{G.-I. Bischi} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 2, 451--496 (2005; Zbl 1082.37042) Full Text: DOI
Khadra, Anmar; Liu, Xinzhi; Shen, Xuemin Impulsive control and synchronization of spatiotemporal chaos. (English) Zbl 1153.93391 Chaos Solitons Fractals 26, No. 2, 615-636 (2005). MSC: 93B52 37N35 37D45 PDFBibTeX XMLCite \textit{A. Khadra} et al., Chaos Solitons Fractals 26, No. 2, 615--636 (2005; Zbl 1153.93391) Full Text: DOI
Bischi, Gian-Italo; Gardini, Laura; Mira, Christian Plane maps with denominator. II: Noninvertible maps with simple focal points. (English) Zbl 1057.37042 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 8, 2253-2277 (2003). MSC: 37E99 37C20 37G10 37M20 PDFBibTeX XMLCite \textit{G.-I. Bischi} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 8, 2253--2277 (2003; Zbl 1057.37042) Full Text: DOI
Govorukhin, V. N.; Tsybulin, V. G.; Karasözen, B. Dynamics of numerical methods for cosymmetric ordinary differential equations. (English) Zbl 1091.65508 Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, No. 9, 2339-2357 (2001). MSC: 65P10 37M99 65L07 65P20 PDFBibTeX XMLCite \textit{V. N. Govorukhin} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, No. 9, 2339--2357 (2001; Zbl 1091.65508) Full Text: DOI
Bischi, Gian-Italo; Mira, Christian; Gardini, Laura Unbounded sets of attraction. (English) Zbl 1090.37511 Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, No. 6, 1437-1469 (2000). MSC: 37D45 37E05 37G35 PDFBibTeX XMLCite \textit{G.-I. Bischi} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, No. 6, 1437--1469 (2000; Zbl 1090.37511) Full Text: DOI
Grote, K.; Meyer-Spasche, R. Euler-like discrete models of the logistic differential equation. (English) Zbl 0933.65141 Comput. Math. Appl. 36, No. 10-12, 211-225 (1998). MSC: 65P10 65L06 65L12 65L20 34A34 65L50 37M15 PDFBibTeX XMLCite \textit{K. Grote} and \textit{R. Meyer-Spasche}, Comput. Math. Appl. 36, No. 10--12, 211--225 (1998; Zbl 0933.65141) Full Text: DOI
Djidjeli, K.; Price, W. G.; Temarel, P.; Twizell, E. H. Partially implicit schemes for the numerical solutions of some nonlinear differential equations. (English) Zbl 0943.65153 Appl. Math. Comput. 96, No. 2-3, 177-207 (1998). MSC: 65P10 65L06 35K57 37J05 PDFBibTeX XMLCite \textit{K. Djidjeli} et al., Appl. Math. Comput. 96, No. 2--3, 177--207 (1998; Zbl 0943.65153) Full Text: DOI
Lee, Jon Chaos and direct numerical simulation in turbulence. (English) Zbl 0844.76077 Theor. Comput. Fluid Dyn. 7, No. 5, 363-395 (1995). MSC: 76M99 76F99 37D45 PDFBibTeX XMLCite \textit{J. Lee}, Theor. Comput. Fluid Dyn. 7, No. 5, 363--395 (1995; Zbl 0844.76077) Full Text: DOI
Diamond, Phil; Kloeden, Peter Spatial discretization of mappings. (English) Zbl 0774.65055 Comput. Math. Appl. 25, No. 6, 85-94 (1993). Reviewer: A.M.Stuart (Stanford) MSC: 65L07 65L05 37C70 PDFBibTeX XMLCite \textit{P. Diamond} and \textit{P. Kloeden}, Comput. Math. Appl. 25, No. 6, 85--94 (1993; Zbl 0774.65055) Full Text: DOI
Guttalu, R. S.; Udwadia, F. E. Period three may not mean chaos: An example of a piecewise linear map. (English) Zbl 0738.58039 Comput. Mech. 5, No. 2-3, 113-118 (1989). MSC: 37G99 37E99 37B99 PDFBibTeX XMLCite \textit{R. S. Guttalu} and \textit{F. E. Udwadia}, Comput. Mech. 5, No. 2--3, 113--118 (1989; Zbl 0738.58039) Full Text: DOI
Liu, Zhengrong Discontinuous and impulsive excitation. (English) Zbl 0611.70020 Appl. Math. Mech., Engl. Ed. 8, 31-35 (1987). MSC: 70J30 37-XX PDFBibTeX XMLCite \textit{Z. Liu}, Appl. Math. Mech., Engl. Ed. 8, 31--35 (1987; Zbl 0611.70020) Full Text: DOI
Hsu, Chieh-Su; Kim, Myun C. Statistics of strange attractors by generalized cell mapping. (English) Zbl 0624.58023 J. Stat. Phys. 38, 735-761 (1985). MSC: 37D45 62P99 PDFBibTeX XMLCite \textit{C.-S. Hsu} and \textit{M. C. Kim}, J. Stat. Phys. 38, 735--761 (1985; Zbl 0624.58023) Full Text: DOI
Troger, H. Über chaotisches Verhalten einfacher mechanischer Systeme. (German) Zbl 0532.70023 Z. Angew. Math. Mech. 62, T18-T27 (1982). Reviewer: F.Ling MSC: 70K50 37D45 PDFBibTeX XMLCite \textit{H. Troger}, Z. Angew. Math. Mech. 62, T18--T27 (1982; Zbl 0532.70023) Full Text: DOI