Ladyzhenskaya, Olga A. [Seregin, Gregory A.; Kalantarov, Varga K.; Zelik, Sergey V.] Attractors for semigroups and evolution equations. With an introduction by Gregory A. Seregin, Varga K. Kalantarov and Sergey V. Zelik. Reprint of the 1991 edition with a new introduction. (English) Zbl 1496.47001 Cambridge Mathematical Library. Cambridge: Cambridge University Press (ISBN 978-1-00-922982-1/pbk; 978-1-00-922981-4/ebook). xxviii, 68 p. (2022). MSC: 47-02 58-02 35-02 01A75 47H20 35B40 47-03 58-03 35-03 47D06 PDFBibTeX XMLCite \textit{O. A. Ladyzhenskaya}, Attractors for semigroups and evolution equations. With an introduction by Gregory A. Seregin, Varga K. Kalantarov and Sergey V. Zelik. Reprint of the 1991 edition with a new introduction. Cambridge: Cambridge University Press (2022; Zbl 1496.47001) Full Text: DOI
Xuan, Pham Truong The simplified Bardina equation on two-dimensional closed manifolds. (English) Zbl 1481.35315 Dyn. Partial Differ. Equ. 18, No. 4, 293-326 (2021). MSC: 35Q30 76D03 76D05 76F20 58A14 58D17 58D25 58D30 35B41 35A01 PDFBibTeX XMLCite \textit{P. T. Xuan}, Dyn. Partial Differ. Equ. 18, No. 4, 293--326 (2021; Zbl 1481.35315) Full Text: DOI arXiv
El-Nabulsi, Rami Ahmad Complex Lie algebroids and Finsler manifold in time-dependent fractal dimension and their associated decomplexifications. (English) Zbl 1480.58008 Differ. Geom. Appl. 77, Article ID 101775, 15 p. (2021). Reviewer: Laura Geatti (Roma) MSC: 58H05 53D17 20L05 49S05 22A22 34A08 PDFBibTeX XMLCite \textit{R. A. El-Nabulsi}, Differ. Geom. Appl. 77, Article ID 101775, 15 p. (2021; Zbl 1480.58008) Full Text: DOI
Arauza Rivera, Andrea Spectral triples for the variants of the Sierpiński gasket. (English) Zbl 1428.28010 J. Fractal Geom. 6, No. 3, 205-246 (2019). Reviewer: Peter Massopust (München) MSC: 28A80 34L40 46L51 46L87 53C22 58B34 58C35 58C40 81R60 PDFBibTeX XMLCite \textit{A. Arauza Rivera}, J. Fractal Geom. 6, No. 3, 205--246 (2019; Zbl 1428.28010) Full Text: DOI arXiv
Guido, Daniele; Isola, Tommaso Spectral triples for nested fractals. (English) Zbl 1383.58004 J. Noncommut. Geom. 11, No. 4, 1413-1436 (2017). Reviewer: Yong Wang (Changchun) MSC: 58B34 58J42 PDFBibTeX XMLCite \textit{D. Guido} and \textit{T. Isola}, J. Noncommut. Geom. 11, No. 4, 1413--1436 (2017; Zbl 1383.58004) Full Text: DOI arXiv
Guido, Daniele; Isola, Tommaso New results on old spectral triples for fractals. (English) Zbl 1362.28012 Alpay, Daniel (ed.) et al., Noncommutative analysis, operator theory and applications. Selected papers based on the presentations at the conference, Milano, Italy, June 23–27, 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-29114-7/hbk; 978-3-319-29116-1/ebook). Operator Theory: Advances and Applications 252. Linear Operators and Linear Systems, 261-270 (2016). MSC: 28A80 58J42 PDFBibTeX XMLCite \textit{D. Guido} and \textit{T. Isola}, Oper. Theory: Adv. Appl. 252, 261--270 (2016; Zbl 1362.28012) Full Text: DOI Link
Das, Tushar; Stratmann, Bernd O.; Urbański, Mariusz The Bishop-Jones relation and Hausdorff geometry of convex-cobounded limit sets in infinite-dimensional hyperbolic space. (English) Zbl 1345.37048 Stoch. Dyn. 16, No. 5, Article ID 1650018, 17 p. (2016). Reviewer: Tao Chen (Long Island City) MSC: 37F30 37F35 30F40 30F45 58B20 PDFBibTeX XMLCite \textit{T. Das} et al., Stoch. Dyn. 16, No. 5, Article ID 1650018, 17 p. (2016; Zbl 1345.37048) Full Text: DOI
Lapidus, Michel L.; Sarhad, Jonathan J. Dirac operators and geodesic metric on the harmonic Sierpiński gasket and other fractal sets. (English) Zbl 1320.28015 J. Noncommut. Geom. 8, No. 4, 947-985 (2014). Reviewer: Vida Milani (North Logan) MSC: 28A80 53B20 53B21 58B34 53C22 53C23 53C27 81Q35 81R60 PDFBibTeX XMLCite \textit{M. L. Lapidus} and \textit{J. J. Sarhad}, J. Noncommut. Geom. 8, No. 4, 947--985 (2014; Zbl 1320.28015) Full Text: DOI arXiv
Lapidus, Michel L.; van Frankenhuijsen, Machiel Fractal geometry, complex dimensions and zeta functions. Geometry and spectra of fractal strings. 2nd ed. (English) Zbl 1261.28011 Springer Monographs in Mathematics. New York, NY: Springer (ISBN 978-1-4614-2175-7/hbk; 978-1-4614-2176-4/ebook). xxvi, 567 p. (2013). Reviewer: Nicolae-Adrian Secelean (Sibiu) MSC: 28A80 28-02 28A75 37C45 37C70 11J70 11M41 37C30 58J50 11M26 11-02 PDFBibTeX XMLCite \textit{M. L. Lapidus} and \textit{M. van Frankenhuijsen}, Fractal geometry, complex dimensions and zeta functions. Geometry and spectra of fractal strings. 2nd ed. New York, NY: Springer (2013; Zbl 1261.28011) Full Text: DOI
Mirzaie, R. On fractal dimension of invariant sets. (English) Zbl 1249.58006 Math. Rep., Bucur. 13(63), No. 4, 377-384 (2011). MSC: 58C35 58C25 28A80 PDFBibTeX XMLCite \textit{R. Mirzaie}, Math. Rep., Buchar. 13(63), No. 4, 377--384 (2011; Zbl 1249.58006)
Nottale, Laurent Scale relativity and fractal space-time. A new approach to unifying relativity and quantum mechanics. (English) Zbl 1222.83004 London: Imperial College Press (ISBN 978-1-84816-650-9/hbk; 978-1-84816-651-6/ebook). xxi, 742 p. (2011). Reviewer: Hans-Jürgen Schmidt (Potsdam) MSC: 83-02 83C75 81V25 58-02 37D45 81V10 83F05 81T20 37F35 83D05 81S10 PDFBibTeX XMLCite \textit{L. Nottale}, Scale relativity and fractal space-time. A new approach to unifying relativity and quantum mechanics. London: Imperial College Press (2011; Zbl 1222.83004) Full Text: Link
El-Nabulsi, Ahmad Rami Fractional field theories from multi-dimensional fractional variational problems. (English) Zbl 1172.26305 Int. J. Geom. Methods Mod. Phys. 5, No. 6, 863-892 (2008). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26A33 49S05 58B10 PDFBibTeX XMLCite \textit{A. R. El-Nabulsi}, Int. J. Geom. Methods Mod. Phys. 5, No. 6, 863--892 (2008; Zbl 1172.26305) Full Text: DOI
Sebastián, M. V.; Navascués, M. A. A relation between fractal dimension and Fourier transform - electroencephalographic study using spectral and fractal parameters. (English) Zbl 1138.94330 Int. J. Comput. Math. 85, No. 3-4, 657-665 (2008). MSC: 94A12 28A80 65D05 58C05 26A18 37M10 92C55 PDFBibTeX XMLCite \textit{M. V. Sebastián} and \textit{M. A. Navascués}, Int. J. Comput. Math. 85, No. 3--4, 657--665 (2008; Zbl 1138.94330) Full Text: DOI
Lapidus, Michel L.; van Frankenhuijsen, Machiel Fractal geometry, complex dimensions and zeta functions. Geometry and spectra of fractal strings. (English) Zbl 1119.28005 Springer Monographs in Mathematics. New York, NY: Springer (ISBN 0-387-33285-5/hbk; 0-387-35208-2/ebook). xxiv, 464 p. (2006). Reviewer: Nicolae-Adrian Secelean (Sibiu) MSC: 28A80 28-02 11-02 28A75 37C45 37C70 11J70 11M41 37C30 58J50 11M26 PDFBibTeX XMLCite \textit{M. L. Lapidus} and \textit{M. van Frankenhuijsen}, Fractal geometry, complex dimensions and zeta functions. Geometry and spectra of fractal strings. New York, NY: Springer (2006; Zbl 1119.28005) Full Text: DOI
Aseev, V. V. Criterion for the attractor of a system of contracting similitudes to be regular in a complete metric space. (Russian) Zbl 1016.28008 Din. Splosh. Sredy 120, 3-7 (2002). Reviewer: V.A.Alexandrov (Novosibirsk) MSC: 28A80 37C70 28A78 54E40 58C25 PDFBibTeX XMLCite \textit{V. V. Aseev}, Din. Splosh. Sredy 120, 3--7 (2002; Zbl 1016.28008)
Castro, Carlos; Granik, Alex Scale relativity in Cantorian \(\mathcal E^{(\infty)}\) space and average dimensions of our world. (English) Zbl 0985.83020 Chaos Solitons Fractals 12, No. 10, 1793-1816 (2001). MSC: 83D05 58B34 83C65 PDFBibTeX XMLCite \textit{C. Castro} and \textit{A. Granik}, Chaos Solitons Fractals 12, No. 10, 1793--1816 (2001; Zbl 0985.83020) Full Text: DOI
Le Tavernier, E.; Simard, P.; Bulo, M.; Boichu, D. Higuchi’s method for fractional dimension. (La méthode de Higuchi pour la dimension fractale.) (French) Zbl 0903.58033 Signal Process. 65, No. 1, 115-128 (1998). MSC: 37N99 62M10 94A12 58Z05 37D45 PDFBibTeX XMLCite \textit{E. Le Tavernier} et al., Signal Process. 65, No. 1, 115--128 (1998; Zbl 0903.58033) Full Text: DOI
Stefański, Krzysztof; Someda, Kiyohiko; Nakamura, Hiroki Divergences of the semiclassical \(S\)-matrix formula in irregular scattering. (English) Zbl 0886.58116 Rep. Math. Phys. 38, No. 3, 399-418 (1996). MSC: 58Z05 81U20 81Q20 28A78 PDFBibTeX XMLCite \textit{K. Stefański} et al., Rep. Math. Phys. 38, No. 3, 399--418 (1996; Zbl 0886.58116) Full Text: DOI
Korić, Ljubiša M. Discrete methods for visualizing fractal sets. (English) Zbl 0844.58060 Filomat 9, No. 3, 753-764 (1995). MSC: 37D45 58-04 68U05 28A78 PDFBibTeX XMLCite \textit{L. M. Korić}, Filomat 9, No. 3, 753--764 (1995; Zbl 0844.58060)
Lapidus, Michel L.; Maier, Helmut The Riemann hypothesis and inverse spectral problems for fractal strings. (English) Zbl 0836.11031 J. Lond. Math. Soc., II. Ser. 52, No. 1, 15-34 (1995). Reviewer: Michel L. Lapidus (Riverside/CA) MSC: 11M26 35P20 58J50 35J05 11M06 PDFBibTeX XMLCite \textit{M. L. Lapidus} and \textit{H. Maier}, J. Lond. Math. Soc., II. Ser. 52, No. 1, 15--34 (1995; Zbl 0836.11031) Full Text: DOI
Fabrie, Pierre; Galusinski, Cédric Exponential attractors for partially dissipative reaction system. (Attracteurs exponentiels pour un système de réaction partiellement dissipatif.) (French. Abridged English version) Zbl 0836.35072 C. R. Acad. Sci., Paris, Sér. I 320, No. 12, 1529-1534 (1995). MSC: 35K57 47H06 58D25 PDFBibTeX XMLCite \textit{P. Fabrie} and \textit{C. Galusinski}, C. R. Acad. Sci., Paris, Sér. I 320, No. 12, 1529--1534 (1995; Zbl 0836.35072)
Chen, Hua; Sleeman, B. D. Fractal drums and the \(n\)-dimensional modified Weyl-Berry conjecture. (English) Zbl 0841.35075 Commun. Math. Phys. 168, No. 3, 581-607 (1995). Reviewer: Ya.A.Rojtberg (Chernigov) MSC: 35P20 35J20 58J50 PDFBibTeX XMLCite \textit{H. Chen} and \textit{B. D. Sleeman}, Commun. Math. Phys. 168, No. 3, 581--607 (1995; Zbl 0841.35075) Full Text: DOI
Feland, Pierre; Tricot, Claude; van de Walle, Axel Fractal analysis software package: a fractal generator for Windows 3.x. Incl. 1 disk. (English) Zbl 0855.28001 Providence, RI: American Mathematical Society (AMS). viii, 35 p. (1994). Reviewer: A.Kaneko (Komaba/Meguro-ku) MSC: 28-04 28A80 58-04 37B99 PDFBibTeX XMLCite \textit{P. Feland} et al., Fractal analysis software package: a fractal generator for Windows 3.x. Incl. 1 disk. Providence, RI: AMS, American Mathematical Society (1994; Zbl 0855.28001)
Yi, Zhao The global attractor of infinite-dimensional dynamical systems governed by a class of nonlinear parabolic variational inequalities and associated control problems. (English) Zbl 0837.35080 Appl. Anal. 54, No. 3-4, 163-180 (1994). MSC: 35K85 93D15 47H20 58E35 47H04 PDFBibTeX XMLCite \textit{Z. Yi}, Appl. Anal. 54, No. 3--4, 163--180 (1994; Zbl 0837.35080) Full Text: DOI
Guo, Boling The finite dimensional behavior of the global attractors for the generalized Landau-Lifshitz equation on compact manifolds. (English) Zbl 0816.58031 Beirão da Veiga, H. (ed.) et al., Proceedings of the workshop on qualitative aspects and applications of nonlinear evolution equations, ICTP, Trieste, Italy, May 3-14, 1993. Singapore: World Scientific. 149-155 (1994). MSC: 37C70 58J32 28A78 28A80 35Q60 PDFBibTeX XMLCite \textit{B. Guo}, in: Proceedings of the workshop on qualitative aspects and applications of nonlinear evolution equations, ICTP, Trieste, Italy, May 3-14, 1993. Singapore: World Scientific. 149--155 (1994; Zbl 0816.58031)
Chepyzhov, V. V.; Vishik, M. I. Periodic processes and non-autonomous evolution equations with time- periodic terms. (English) Zbl 0820.47073 Topol. Methods Nonlinear Anal. 4, No. 1, 1-17 (1994). Reviewer: B.Scarpellini (Basel) MSC: 47H20 58D07 PDFBibTeX XMLCite \textit{V. V. Chepyzhov} and \textit{M. I. Vishik}, Topol. Methods Nonlinear Anal. 4, No. 1, 1--17 (1994; Zbl 0820.47073) Full Text: DOI
Hastings, Harold M.; Sugihara, George Fractals: a user’s guide for the natural sciences. Repr. of the orig. 1993. (English) Zbl 0820.28003 Oxford Science Publications. Oxford: Oxford Univ. Press,. xi, 235 p. (1994). Reviewer: E.Petrisor (Timişoara) MSC: 28A80 58-01 28-01 00A06 37D45 92D40 PDFBibTeX XMLCite \textit{H. M. Hastings} and \textit{G. Sugihara}, Fractals: a user's guide for the natural sciences. Repr. of the orig. 1993. Oxford: Oxford Univ. Press (1994; Zbl 0820.28003)
Davies, E. B.; Lianantonakis, M. Heat kernel and Hardy estimates for locally Euclidean manifolds with fractal boundaries. (English) Zbl 0797.58087 Geom. Funct. Anal. 3, No. 6, 527-563 (1993). Reviewer: M.Puta (Timişoara) MSC: 58J50 PDFBibTeX XMLCite \textit{E. B. Davies} and \textit{M. Lianantonakis}, Geom. Funct. Anal. 3, No. 6, 527--563 (1993; Zbl 0797.58087) Full Text: DOI EuDML
Palis, Jacob; Takens, Floris Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations. Fractal dimensions and infinitely many attractors. (English) Zbl 0790.58014 Cambridge Studies in Advanced Mathematics. 35. Cambridge: Cambridge University Press. x, 234 p. (1993). Reviewer: F.Przytycki (Warszawa) MSC: 37Cxx 37C70 58-02 37D45 37G99 PDFBibTeX XMLCite \textit{J. Palis} and \textit{F. Takens}, Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations. Fractal dimensions and infinitely many attractors. Cambridge: Cambridge University Press (1993; Zbl 0790.58014)
Ben-Artzi, A.; Eden, A.; Foiaş, C.; Nicolaenko, B. Hölder continuity for the inverse of Mañé’s projection. (English) Zbl 0815.46016 J. Math. Anal. Appl. 178, No. 1, 22-29 (1993). MSC: 46B20 58C05 46M10 PDFBibTeX XMLCite \textit{A. Ben-Artzi} et al., J. Math. Anal. Appl. 178, No. 1, 22--29 (1993; Zbl 0815.46016) Full Text: DOI
Barnsley, Michael F. Fractals everywhere. Revised with the assistance of Hawley Rising III. Answer key by Hawley Rising III. 2nd ed. (English) Zbl 0784.58002 Boston, MA: Academic Press Professional. xiv, 532 p. (1993). Reviewer: M.Moszyńska (Warszawa) MSC: 58-02 68U05 37D45 28A80 28A78 00A06 37C70 30D05 PDFBibTeX XMLCite \textit{M. F. Barnsley}, Fractals everywhere. Revised with the assistance of Hawley Rising III. Answer key by Hawley Rising III. 2nd ed. Boston, MA: Academic Press Professional (1993; Zbl 0784.58002)
Ilyin, Alexei A. On the dimension of attractors for Navier-Stokes equations on two- dimensional compact manifolds. (English) Zbl 0771.35045 Differ. Integral Equ. 6, No. 1, 183-214 (1993). Reviewer: K.Deckelnick (Freiburg i.Br.) MSC: 35Q30 76D05 58J35 PDFBibTeX XMLCite \textit{A. A. Ilyin}, Differ. Integral Equ. 6, No. 1, 183--214 (1993; Zbl 0771.35045)
Gill, Tepper L.; Zachary, W. W. Dimensionality of invariant sets for nonautonomous processes. (English) Zbl 0762.35067 SIAM J. Math. Anal. 23, No. 5, 1204-1229 (1992). Reviewer: M.Biroli (Monza) MSC: 35L70 37C70 35B40 35B15 58D25 58D07 35L15 PDFBibTeX XMLCite \textit{T. L. Gill} and \textit{W. W. Zachary}, SIAM J. Math. Anal. 23, No. 5, 1204--1229 (1992; Zbl 0762.35067) Full Text: DOI
Peitgen, Heinz-Otto; Jürgens, Hartmut; Saupe, Dietmar; Maletsky, Evan M.; Perciante, Terry; Yunker, Lee Fraktale: Selbstähnlichkeit, Chaosspiel, Dimension; ein Arbeitsbuch. Aus dem Amerik. übers. von Ernst F.Gucker in Zusammenarbeit mit Gisela Gründl. (German) Zbl 0776.58001 Reihe Chaos und Fraktale. Berlin: Springer-Verlag. Stuttgart: Ernst Klett Schulbuchverlag. xiv, 132 p. (1992). MSC: 58-01 37D45 28A80 00A99 PDFBibTeX XMLCite \textit{H.-O. Peitgen} et al., Fraktale: Selbstähnlichkeit, Chaosspiel, Dimension; ein Arbeitsbuch. Aus dem Amerik. übers. von Ernst F. Gucker in Zusammenarbeit mit Gisela Gründl. Berlin: Springer-Verlag; Stuttgart: Ernst Klett Schulbuchverlag (1992; Zbl 0776.58001)
Gouyet, Jean-François Physique et structures fractales. Préface de Benoît Mandelbrot. (Physics and fractal structures. Preface by Benoît Mandelbrot.) (French) Zbl 0773.58015 Paris: Masson. xiv, 234 p. (1992). Reviewer: Liliana Răileanu (Iaşi) MSC: 58-02 00A69 00A79 28A80 82C31 37D45 PDFBibTeX XMLCite \textit{J.-F. Gouyet}, Physics and fractal structures. Preface by Benoît Mandelbrot. Paris: Masson (1992; Zbl 0773.58015)
Berestovskij, V. N.; Vershik, A. M. Manifolds with intrinsic metric, and nonholonomic spaces. (English) Zbl 0765.53033 Representation theory and dynamical systems, Adv. Sov. Math. 9, 253-267 (1992). Reviewer: W.Waliszewski (Łódź) MSC: 53C22 58A30 70F25 58A17 PDFBibTeX XMLCite \textit{V. N. Berestovskij} and \textit{A. M. Vershik}, Adv. Sov. Math. 9, 253--267 (1992; Zbl 0765.53033)
Lauwerier, Hans Fractals: Endlessly repeated geometrical figures. Transl. from the Dutch by Sophia Gill-Hoffstädt. (English) Zbl 0765.58002 Princeton Science Library. Princeton, NJ: Princeton University Press. xiv, 209 p. (1991). Reviewer: G.Ehrig (Berlin) MSC: 58-04 00A05 00A06 00A69 28A80 37D45 37F99 58-01 PDFBibTeX XMLCite \textit{H. Lauwerier}, Fractals: Endlessly repeated geometrical figures. Transl. from the Dutch by Sophia Gill-Hoffstädt. Princeton, NJ: Princeton University Press (1991; Zbl 0765.58002)
Ladyzhenskaya, Olga Attractors for semigroups and evolution equations. (English) Zbl 0755.47049 Lezioni Lincee. Cambridge etc.: Cambridge University Press,. xi, 73 p. (1991). Reviewer: W.Arendt (Besançon) MSC: 47H20 35B40 47-02 58-02 35-02 47D06 PDFBibTeX XMLCite \textit{O. Ladyzhenskaya}, Attractors for semigroups and evolution equations. Cambridge etc.: Cambridge University Press (1991; Zbl 0755.47049)
Peitgen, Heinz-Otto; Jürgens, Hartmut; Saupe, Dietmar; Maletsky, Evan; Perciante, Terry; Yunker, Lee Fractals for the classroom: strategic activities. Volume one. (English) Zbl 0734.58001 New York etc.: Springer-Verlag. xii, 128 p. DM 38.00 (1991). Reviewer: E.-C.Savin (Montreal) MSC: 58-01 37D45 00A35 28A80 PDFBibTeX XMLCite \textit{H.-O. Peitgen} et al., Fractals for the classroom: strategic activities. Volume one. New York etc.: Springer-Verlag (1991; Zbl 0734.58001)
Corana, A.; Casaleggio, A.; Rolando, C.; Ridella, S. Efficient computation of the correlation dimension from a time series on a LIW computer. (English) Zbl 0795.58001 Parallel Comput. 17, No. 6-7, 809-820 (1991). MSC: 58-04 28A80 PDFBibTeX XMLCite \textit{A. Corana} et al., Parallel Comput. 17, No. 6--7, 809--820 (1991; Zbl 0795.58001) Full Text: DOI
Baker, Gregory L.; Gollub, Jerry P. Chaotic dynamics: An introduction. (English) Zbl 0712.58002 Cambridge etc.: Cambridge University Press. x, 182 p. £25.00/hbk; $ 49.50/hbk; £9.95/pbk; $ 17.95/hbk (1990). Reviewer: N.Papaghiuc MSC: 58-01 37N99 37D45 PDFBibTeX XMLCite \textit{G. L. Baker} and \textit{J. P. Gollub}, Chaotic dynamics: An introduction. Cambridge etc.: Cambridge University Press (1990; Zbl 0712.58002)
Crilly, T. (ed.); Earnshaw, R. A. (ed.); Jones, H. (ed.) Fractals and chaos. (English) Zbl 0743.58004 New York etc.: Springer-Verlag. VIII, 277 p. (1990). Reviewer: Ľ.Snoha (Banská Bystrica) MSC: 58-06 68U05 37D45 60J65 37B99 PDFBibTeX XMLCite \textit{T. Crilly} (ed.) et al., Fractals and chaos. New York etc.: Springer-Verlag (1990; Zbl 0743.58004)
Rasband, S. Neil Chaotic dynamics of nonlinear systems. (English) Zbl 0691.58004 Wiley-Interscience Publication. Chichester etc.: John Wiley & Sons Ltd. x, 230 p. £31.65 (1990). Reviewer: D.Stanomir MSC: 58-02 37D45 37G99 PDFBibTeX XMLCite \textit{S. N. Rasband}, Chaotic dynamics of nonlinear systems. Chichester etc.: John Wiley \&| Sons Ltd. (1990; Zbl 0691.58004)
Ghidaglia, J. M. Inertial manifolds and attractors of partial differential equations. (English) Zbl 0717.58038 Partially integrable evolution equations in physics, Proc. NATO/ASI, Les Houches/Fr. 1989, NATO ASI Ser., Ser. C 310, 435-458 (1990). Reviewer: G.Warnecke MSC: 37C70 58-02 58J99 35Q30 35G10 35K25 PDFBibTeX XML
Massopust, Peter R. Fractal surfaces. (English) Zbl 0716.28007 J. Math. Anal. Appl. 151, No. 1, 275-290 (1990). Reviewer: I.S.Molchanov MSC: 28A80 28A78 54C60 58C06 37C70 PDFBibTeX XMLCite \textit{P. R. Massopust}, J. Math. Anal. Appl. 151, No. 1, 275--290 (1990; Zbl 0716.28007) Full Text: DOI
Dekking, F. M.; Meester, R. W. J. On the structure of Mandelbrot’s percolation process and other random Cantor sets. (English) Zbl 0714.60102 J. Stat. Phys. 58, No. 5-6, 1109-1126 (1990). MSC: 60K35 58D30 82B43 PDFBibTeX XMLCite \textit{F. M. Dekking} and \textit{R. W. J. Meester}, J. Stat. Phys. 58, No. 5--6, 1109--1126 (1990; Zbl 0714.60102) Full Text: DOI
Lapidus, Michel L.; Pomerance, Carl Fonction zêta de Riemann et conjecture de Weyl-Berry pour les tambours fractals. (The Riemann zeta-function and the Weyl-Berry conjecture for fractal drums). (French) Zbl 0707.58046 C. R. Acad. Sci., Paris, Sér. I 310, No. 6, 343-348 (1990). Reviewer: H.G.Bothe MSC: 58J50 35J05 PDFBibTeX XMLCite \textit{M. L. Lapidus} and \textit{C. Pomerance}, C. R. Acad. Sci., Paris, Sér. I 310, No. 6, 343--348 (1990; Zbl 0707.58046)
Norton, Alec Functions not constant on fractal quasi-arcs of critical points. (English) Zbl 0682.28006 Proc. Am. Math. Soc. 106, No. 2, 397-405 (1989). Reviewer: P.Mattila MSC: 28A75 58C25 26B05 30C99 PDFBibTeX XMLCite \textit{A. Norton}, Proc. Am. Math. Soc. 106, No. 2, 397--405 (1989; Zbl 0682.28006) Full Text: DOI
Sreenivasan, K. R.; Ramshankar, R.; Meneveau, C. Mixing, entrainment and fractal dimensions of surfaces in turbulent flows. (English) Zbl 0674.76039 Proc. R. Soc. Lond., Ser. A 421, No. 1860, 79-107 (1989). MSC: 76F99 58D30 PDFBibTeX XMLCite \textit{K. R. Sreenivasan} et al., Proc. R. Soc. Lond., Ser. A 421, No. 1860, 79--107 (1989; Zbl 0674.76039) Full Text: DOI
Pietronero, L.; Erzan, A.; Evertsz, C. Theory of Laplacian fractals: Diffusion limited aggregation and dielectric breakdown model. (English) Zbl 0681.58047 Physica A 151, 207-245 (1988). MSC: 58Z05 37D45 81V10 PDFBibTeX XMLCite \textit{L. Pietronero} et al., Physica A 151, 207--245 (1988; Zbl 0681.58047) Full Text: DOI
Shereshevskij, M. A. On the Hausdorff dimension of fractal basis sets arising in certain global bifurcations of flows on three-dimensional manifolds. (English. Russian original) Zbl 0667.58049 Russ. Math. Surv. 43, No. 3, 223-224 (1988); translation from Usp. Mat. Nauk 43, No. 3(261), 199-200 (1988). MSC: 37G99 57R45 58D15 37D45 PDFBibTeX XMLCite \textit{M. A. Shereshevskij}, Russ. Math. Surv. 43, No. 3, 223--224 (1988; Zbl 0667.58049); translation from Usp. Mat. Nauk 43, No. 3(261), 199--200 (1988) Full Text: DOI
Shereshevskij, M. A. On the Hausdorff dimension of fractal base sets arising from some global bifurcation flows on three-dimensional manifolds. (Russian) Zbl 0657.58025 Usp. Mat. Nauk 43, No. 3(261), 199-200 (1988). Reviewer: I.Gumowski MSC: 37G99 57R45 58D15 37D45 PDFBibTeX XMLCite \textit{M. A. Shereshevskij}, Usp. Mat. Nauk 43, No. 3(261), 199--200 (1988; Zbl 0657.58025)
Higuchi, T. Approach to an irregular time series on the basis of the fractal theory. (English) Zbl 0649.58046 Physica D 31, No. 2, 277-283 (1988). MSC: 58Z05 37D45 62M10 PDFBibTeX XMLCite \textit{T. Higuchi}, Physica D 31, No. 2, 277--283 (1988; Zbl 0649.58046) Full Text: DOI
Amir-Azizi, Siamak; Hey, Anthony J. G.; Morris, Timothy R. Quantum fractals. (English) Zbl 0649.60107 Complex Syst. 1, No. 5, 923-938 (1987). MSC: 60K35 58C99 60J65 PDFBibTeX XMLCite \textit{S. Amir-Azizi} et al., Complex Syst. 1, No. 5, 923--938 (1987; Zbl 0649.60107)
Foias, C.; Manley, O.; Temam, R. Attractors for the Bénard problem: Existence and physical bounds on their fractal dimension. (English) Zbl 0646.76098 Nonlinear Anal., Theory Methods Appl. 11, 939-967 (1987). MSC: 76R05 58J65 PDFBibTeX XMLCite \textit{C. Foias} et al., Nonlinear Anal., Theory Methods Appl. 11, 939--967 (1987; Zbl 0646.76098) Full Text: DOI
Hu, Bambi; Mao, Jianmin Fractal dimension and degeneracy of the critical point for iterated maps. (English) Zbl 0623.58038 J. Phys. A 20, 1809-1818 (1987). MSC: 58Z05 37B99 26A18 PDFBibTeX XMLCite \textit{B. Hu} and \textit{J. Mao}, J. Phys. A, Math. Gen. 20, 1809--1818 (1987; Zbl 0623.58038) Full Text: DOI
Ghidaglia, J.-M. On the fractal dimension of attractors for viscous incompressible fluid flows. (English) Zbl 0626.35078 SIAM J. Math. Anal. 17, 1139-1157 (1986). Reviewer: G.Keller MSC: 35Q30 35B40 35K55 58J35 76D05 76W05 PDFBibTeX XMLCite \textit{J. M. Ghidaglia}, SIAM J. Math. Anal. 17, 1139--1157 (1986; Zbl 0626.35078) Full Text: DOI
Dekker, H. The coherent tunnelling propagator and chaotic bistability. (English) Zbl 0624.58029 J. Phys. A 19, L1137-L1140 (1986). MSC: 58Z05 37D45 81Q99 PDFBibTeX XMLCite \textit{H. Dekker}, J. Phys. A, Math. Gen. 19, L1137--L1140 (1986; Zbl 0624.58029) Full Text: DOI
Grassberger, P.; Procaccia, I. Dimensions and entropies of strange attractors from a fluctuating dynamics approach. (English) Zbl 0587.58031 Physica D 13, 34-54 (1984). Reviewer: C.Chicone MSC: 37D45 58J65 PDFBibTeX XMLCite \textit{P. Grassberger} and \textit{I. Procaccia}, Physica D 13, 34--54 (1984; Zbl 0587.58031) Full Text: DOI
Keller, K. Modelling critical behaviour in terms of catastrophe theory and fractal lattices. (English) Zbl 0471.58010 J. Phys. A 14, 1719-1734 (1981). MSC: 58K35 80A10 76V05 PDFBibTeX XMLCite \textit{K. Keller}, J. Phys. A, Math. Gen. 14, 1719--1734 (1981; Zbl 0471.58010) Full Text: DOI