Arnold, Vladimir I. Mathematics of chaos. (English) Zbl 1221.37002 Mosc. Math. J. 10, No. 2, 273-283 (2010). MSC: 37-03 37A45 11A55 01A70 PDFBibTeX XMLCite \textit{V. I. Arnold}, Mosc. Math. J. 10, No. 2, 273--283 (2010; Zbl 1221.37002) Full Text: Link
Arnold, V. I. Stochastic and deterministic characteristics of orbits in chaotically looking dynamical systems. (English. Russian original) Zbl 1211.37007 Trans. Mosc. Math. Soc. 2009, 31-69 (2009); translation from Tr. Mosk. Mat. O.-va 70, 46-101 (2009). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 37A45 37D99 37H99 PDFBibTeX XMLCite \textit{V. I. Arnold}, Trans. Mosc. Math. Soc. 2009, 31--69 (2009; Zbl 1211.37007); translation from Tr. Mosk. Mat. O.-va 70, 46--101 (2009) Full Text: DOI
Arnold, Vladimir I. On some problems in the theory of dynamical systems. (Sur quelques problèmes de la théorie des systèmes dynamiques.) (French) Zbl 1222.37001 Berline, Nicole (ed.) et al., Aspects des systèmes dynamiques. Palaiseau: Les Éditions de l’École Polytechnique (ISBN 978-2-7302-1560-2/pbk). Journées Mathématiques X-UPS, 205-221 (2009). Reviewer: Dan E. Popovici (Timişoara) MSC: 37-02 37B99 37C25 58C25 57R99 PDFBibTeX XMLCite \textit{V. I. Arnold}, in: Aspects des systèmes dynamiques. Palaiseau: Les Éditions de l'École Polytechnique. 205--221 (2009; Zbl 1222.37001)
Arnold, Vladimir I. Empirical study of stochasticity for deterministic chaotical dynamics of geometric progressions of residues. (English) Zbl 1184.37011 Funct. Anal. Other Math. 2, No. 2-4, 139-149 (2009). Reviewer: Jacques Franchi (Strasbourg) MSC: 37A45 37A50 11K45 PDFBibTeX XMLCite \textit{V. I. Arnold}, Funct. Anal. Other Math. 2, No. 2--4, 139--149 (2009; Zbl 1184.37011) Full Text: DOI
Arnold, V. I. On the matricial version of Fermat-Euler congruences. (English) Zbl 1168.05003 Jpn. J. Math. (3) 1, No. 1, 1-24 (2006). Reviewer: Herman J. Tiersma (Den Haag) MSC: 11A07 11B65 11C20 PDFBibTeX XMLCite \textit{V. I. Arnold}, Jpn. J. Math. (3) 1, No. 1, 1--24 (2006; Zbl 1168.05003) Full Text: DOI
Arnold, V. Ergodic and arithmetical properties of geometrical progression’s dynamics and of its orbits. (English) Zbl 1089.11004 Mosc. Math. J. 5, No. 1, 5-22 (2005). Reviewer: Jürgen Spilker (Freiburg i. Br.) MSC: 11A07 11N69 37A45 37B99 PDFBibTeX XMLCite \textit{V. Arnold}, Mosc. Math. J. 5, No. 1, 5--22 (2005; Zbl 1089.11004)
Arnold, V. Number-theoretical turbulence in Fermat-Euler arithmetics and large Young diagrams geometry statistics. (English) Zbl 1134.11344 J. Math. Fluid Mech. 7, Suppl. 1, S4-S50 (2005). MSC: 11N69 37B99 05E10 11A07 37A45 PDFBibTeX XMLCite \textit{V. Arnold}, J. Math. Fluid Mech. 7, S4--S50 (2005; Zbl 1134.11344) Full Text: DOI
Arnol’d, V. I. The matrix Euler-Fermat theorem. (English. Russian original) Zbl 1167.11300 Izv. Math. 68, No. 6, 1119-1128 (2004); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 68, No. 6, 61-70 (2004). Reviewer: Olaf Ninnemann (Berlin) MSC: 11A07 11B50 11C20 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Izv. Math. 68, No. 6, 1119--1128 (2004; Zbl 1167.11300); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 68, No. 6, 61--70 (2004) Full Text: DOI
Arnold, V. I. Fermat dynamics, matrix arithmetics, finite circles, and finite Lobachevsky planes. (English. Russian original) Zbl 1125.11066 Funct. Anal. Appl. 38, No. 1, 1-13 (2004); translation from Funkts. Anal. Prilozh. 38, No. 1, 1-15 (2004). MSC: 11A07 11B50 11C20 PDFBibTeX XMLCite \textit{V. I. Arnold}, Funct. Anal. Appl. 38, No. 1, 1--13 (2004; Zbl 1125.11066); translation from Funkts. Anal. Prilozh. 38, No. 1, 1--15 (2004) Full Text: DOI
Arnol’d, V. I.; Il’yashenko, Yu. S. Ordinary differential equations. (English. Russian original) Zbl 0659.58012 Dynamical systems I, Encycl. Math. Sci. 1, 1-148 (1988); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 1, 7-149 (1985). MSC: 37J99 37C75 37G15 PDFBibTeX XML
Arnol’d, V. I.; Il’yashenko, Yu. S. Dynamical systems. I: Ordinary differential equations. (Russian) Zbl 0602.58020 Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 1, 7-149 (1985). Reviewer: F.Przytycki MSC: 37J99 37C75 37G15 PDFBibTeX XMLCite \textit{V. I. Arnol'd} and \textit{Yu. S. Il'yashenko}, Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 1, 7--149 (1985; Zbl 0602.58020)