Takatsuka, Kazuo Schrödinger dynamics in length-scale hierarchy: from spatial rescaling to Huygens-like proliferation of Gaussian wavepackets. (English) Zbl 07760614 J. Phys. A, Math. Theor. 56, No. 44, Article ID 445302, 22 p. (2023). MSC: 81Q05 81R30 42C40 37F46 28C20 81Q20 70G10 60J60 81S40 81U90 81U26 37H05 PDFBibTeX XMLCite \textit{K. Takatsuka}, J. Phys. A, Math. Theor. 56, No. 44, Article ID 445302, 22 p. (2023; Zbl 07760614) Full Text: DOI
Zhang, Yidan; Xiao, Boqi; Tu, Biliang; Zhang, Guoying; Wang, Yanbin; Long, Gongbo Fractal analysis for thermal conductivity of dual porous media embedded with asymmetric tree-like bifurcation networks. (English) Zbl 07726789 Fractals 31, No. 5, Article ID 2350046, 20 p. (2023). MSC: 76Sxx 80Axx 28A80 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Fractals 31, No. 5, Article ID 2350046, 20 p. (2023; Zbl 07726789) Full Text: DOI
Araújo, Hugo; Moreira, Carlos Gustavo Stable intersections of conformal Cantor sets. (English) Zbl 07714643 Ergodic Theory Dyn. Syst. 43, No. 1, 1-49 (2023). MSC: 28A80 37G25 37F99 PDFBibTeX XMLCite \textit{H. Araújo} and \textit{C. G. Moreira}, Ergodic Theory Dyn. Syst. 43, No. 1, 1--49 (2023; Zbl 07714643) Full Text: DOI arXiv
Graczyk, Jacek; Świątek, Grzegorz Analytic structures and harmonic measure at bifurcation locus. (English) Zbl 1525.30023 Adv. Math. 421, Article ID 108998, 38 p. (2023). Reviewer: Risto Korhonen (Joensuu) MSC: 30D05 31C40 37F35 28A75 30C75 30C85 PDFBibTeX XMLCite \textit{J. Graczyk} and \textit{G. Świątek}, Adv. Math. 421, Article ID 108998, 38 p. (2023; Zbl 1525.30023) Full Text: DOI arXiv
De Maesschalck, Peter; Huzak, Renato; Janssens, Ansfried; Radunović, Goran Fractal codimension of nilpotent contact points in two-dimensional slow-fast systems. (English) Zbl 1516.34087 J. Differ. Equations 355, 162-192 (2023). MSC: 34E15 34E17 34C40 28A80 28A75 34C23 34C05 PDFBibTeX XMLCite \textit{P. De Maesschalck} et al., J. Differ. Equations 355, 162--192 (2023; Zbl 1516.34087) Full Text: DOI arXiv
Huzak, Renato; Mardešić, Pavao; Resman, Maja; Županović, Vesna Reading multiplicity in unfoldings from epsilon-neighborhoods of orbits. arXiv:2304.07914 Preprint, arXiv:2304.07914 [math.DS] (2023). MSC: 37G10 34C23 28A80 37C45 37M20 BibTeX Cite \textit{R. Huzak} et al., ``Reading multiplicity in unfoldings from epsilon-neighborhoods of orbits'', Preprint, arXiv:2304.07914 [math.DS] (2023) Full Text: arXiv OA License
Jang, Juhi; Kukavica, Igor; Li, Linfeng Mach limits in analytic spaces on exterior domains. (English) Zbl 1504.35259 Discrete Contin. Dyn. Syst. 42, No. 8, 3629-3659 (2022). MSC: 35Q31 76N10 35A01 35A02 35B32 28A80 PDFBibTeX XMLCite \textit{J. Jang} et al., Discrete Contin. Dyn. Syst. 42, No. 8, 3629--3659 (2022; Zbl 1504.35259) Full Text: DOI arXiv
Abo-Alnaga, Bahaa-Aldeen M.; Said, Lobna A.; Madian, Ahmed H.; Radwan, Ahmed G. Fpga realization of complex logistic map fractal behavior. (English) Zbl 1493.37024 Fractals 30, No. 1, Article ID 2250023, 11 p. (2022). MSC: 37C45 37E05 37M20 93B51 28A80 PDFBibTeX XMLCite \textit{B.-A. M. Abo-Alnaga} et al., Fractals 30, No. 1, Article ID 2250023, 11 p. (2022; Zbl 1493.37024) Full Text: DOI
Das, S.; Bhardwaj, R. On chaos and multifractality in a three-species food chain system. (English) Zbl 1486.92314 Malays. J. Math. Sci. 15, No. 3, 457-475 (2021). MSC: 92D40 28A80 37D45 PDFBibTeX XMLCite \textit{S. Das} and \textit{R. Bhardwaj}, Malays. J. Math. Sci. 15, No. 3, 457--475 (2021; Zbl 1486.92314) Full Text: Link
Allaart, Pieter; Kong, Derong Relative bifurcation sets and the local dimension of univoque bases. (English) Zbl 1475.11014 Ergodic Theory Dyn. Syst. 41, No. 8, 2241-2273 (2021). Reviewer: Simon Kristensen (Aarhus) MSC: 11A63 11K55 37B10 28A80 PDFBibTeX XMLCite \textit{P. Allaart} and \textit{D. Kong}, Ergodic Theory Dyn. Syst. 41, No. 8, 2241--2273 (2021; Zbl 1475.11014) Full Text: DOI arXiv
Carminati, Carlo; Langeveld, Niels; Steiner, Wolfgang Tanaka-Ito \(\alpha\)-continued fractions and matching. (English) Zbl 1475.37010 Nonlinearity 34, No. 6, 3565-3582 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37A44 37E05 28D20 37A35 37G10 PDFBibTeX XMLCite \textit{C. Carminati} et al., Nonlinearity 34, No. 6, 3565--3582 (2021; Zbl 1475.37010) Full Text: DOI arXiv
Huzak, Renato; Crnković, Vlatko; Vlah, Domagoj Fractal dimensions and two-dimensional slow-fast systems. (English) Zbl 1470.34150 J. Math. Anal. Appl. 501, No. 2, Article ID 125212, 21 p. (2021). MSC: 34E15 34A26 34E17 34C23 11M41 28A80 37C45 PDFBibTeX XMLCite \textit{R. Huzak} et al., J. Math. Anal. Appl. 501, No. 2, Article ID 125212, 21 p. (2021; Zbl 1470.34150) Full Text: DOI
Bick, Christian; Sclosa, Davide Dynamical Systems on Graph Limits and Their Symmetries. arXiv:2110.13686 Preprint, arXiv:2110.13686 [math.DS] (2021). MSC: 37C81 05C99 37G40 28D15 34C15 BibTeX Cite \textit{C. Bick} and \textit{D. Sclosa}, ``Dynamical Systems on Graph Limits and Their Symmetries'', Preprint, arXiv:2110.13686 [math.DS] (2021) Full Text: arXiv OA License
Barge, Héctor; Giraldo, Antonio; Sanjurjo, José M. R. Bifurcations, robustness and shape of attractors of discrete dynamical systems. (English) Zbl 1434.37015 J. Fixed Point Theory Appl. 22, No. 2, Paper No. 29, 13 p. (2020). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37C70 37E30 37G35 37C20 37B25 28A80 55N05 PDFBibTeX XMLCite \textit{H. Barge} et al., J. Fixed Point Theory Appl. 22, No. 2, Paper No. 29, 13 p. (2020; Zbl 1434.37015) Full Text: DOI arXiv
Gourmelon, Nicolas Rotation numbers of perturbations of smooth dynamics. arXiv:2002.06783 Preprint, arXiv:2002.06783 [math.DS] (2020). MSC: 37Cxx 37Dxx 37Gxx 28Dxx 34C23 34C37 34K18 BibTeX Cite \textit{N. Gourmelon}, ``Rotation numbers of perturbations of smooth dynamics'', Preprint, arXiv:2002.06783 [math.DS] (2020) Full Text: arXiv OA License
Allaart, Pieter; Baker, Simon; Kong, Derong Bifurcation sets arising from non-integer base expansions. (English) Zbl 1435.11102 J. Fractal Geom. 6, No. 4, 301-341 (2019). MSC: 11K55 11A63 28A78 37B10 PDFBibTeX XMLCite \textit{P. Allaart} et al., J. Fractal Geom. 6, No. 4, 301--341 (2019; Zbl 1435.11102) Full Text: DOI arXiv
Berger, Pierre; Turaev, Dmitry On Herman’s positive entropy conjecture. (English) Zbl 1443.37019 Adv. Math. 349, 1234-1288 (2019). Reviewer: Alexander Felshtyn (Szczecin) MSC: 37C05 37J11 28D20 37A05 PDFBibTeX XMLCite \textit{P. Berger} and \textit{D. Turaev}, Adv. Math. 349, 1234--1288 (2019; Zbl 1443.37019) Full Text: DOI arXiv
Kalle, Charlene; Kong, Derong; Li, Wenxia; Lü, Fan On the bifurcation set of unique expansions. (English) Zbl 1441.11018 Acta Arith. 188, No. 4, 367-399 (2019). MSC: 11A63 37B10 28A78 PDFBibTeX XMLCite \textit{C. Kalle} et al., Acta Arith. 188, No. 4, 367--399 (2019; Zbl 1441.11018) Full Text: DOI arXiv Link
Luo, Hongwei; Zhang, Jiangang; An, Xinlei; Du, Wenju; Lu, Jiarong Dynamical analysis of a new three-dimensional chaotic systems based on the Kolmogorov theory. (Chinese. English summary) Zbl 1413.37025 J. Hebei Norm. Univ., Nat. Sci. Ed. 42, No. 2, 117-125 (2018). MSC: 37D45 70K55 28D20 PDFBibTeX XMLCite \textit{H. Luo} et al., J. Hebei Norm. Univ., Nat. Sci. Ed. 42, No. 2, 117--125 (2018; Zbl 1413.37025) Full Text: DOI
Matheus, Carlos; Palis, Jacob An estimate on the Hausdorff dimension of stable sets of non-uniformly hyperbolic horseshoes. (English) Zbl 1379.37052 Discrete Contin. Dyn. Syst. 38, No. 2, 431-448 (2018). MSC: 37C29 37E30 28D20 28A78 PDFBibTeX XMLCite \textit{C. Matheus} and \textit{J. Palis}, Discrete Contin. Dyn. Syst. 38, No. 2, 431--448 (2018; Zbl 1379.37052) Full Text: DOI arXiv
Brandibur, Oana; Kaslik, Eva Stability properties of a two-dimensional system involving one Caputo derivative and applications to the investigation of a fractional-order Morris-Lecar neuronal model. (English) Zbl 1393.34013 Nonlinear Dyn. 90, No. 4, 2371-2386 (2017). MSC: 34A08 28A33 34D20 37M05 PDFBibTeX XMLCite \textit{O. Brandibur} and \textit{E. Kaslik}, Nonlinear Dyn. 90, No. 4, 2371--2386 (2017; Zbl 1393.34013) Full Text: DOI arXiv
Gough, John E.; Zhang, Guofeng Classical and quantum stochastic models of resistive and memristive circuits. (English) Zbl 1370.78331 J. Math. Phys. 58, No. 7, 073505, 18 p. (2017). MSC: 78A55 34B45 37L10 37L55 28C20 60H30 81S25 PDFBibTeX XMLCite \textit{J. E. Gough} and \textit{G. Zhang}, J. Math. Phys. 58, No. 7, 073505, 18 p. (2017; Zbl 1370.78331) Full Text: DOI arXiv Link
Alonso Ruiz, Patricia Power dissipation in fractal Feynman-Sierpinski AC circuits. (English) Zbl 1370.78330 J. Math. Phys. 58, No. 7, 073503, 16 p. (2017). MSC: 78A55 34B45 37L10 28A80 PDFBibTeX XMLCite \textit{P. Alonso Ruiz}, J. Math. Phys. 58, No. 7, 073503, 16 p. (2017; Zbl 1370.78330) Full Text: DOI arXiv
Keller, Gerhard A simpler proof for the dimension of the graph of the classical Weierstrass function. (English. French summary) Zbl 1390.26006 Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 1, 169-181 (2017). Reviewer: Ubiratan D’Ambrosio (São Paulo) MSC: 26A27 28A78 37C45 37G35 37H20 PDFBibTeX XMLCite \textit{G. Keller}, Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 1, 169--181 (2017; Zbl 1390.26006) Full Text: DOI Euclid
Gauthier, Thomas Higher bifurcation currents, neutral cycles and the Mandelbrot set. (English) Zbl 1325.37027 Indiana Univ. Math. J. 63, No. 4, 917-937 (2014). Reviewer: El Houcein El Abdalaoui (Saint Etienne du Rouvray) MSC: 37F45 32U15 28A78 PDFBibTeX XMLCite \textit{T. Gauthier}, Indiana Univ. Math. J. 63, No. 4, 917--937 (2014; Zbl 1325.37027) Full Text: DOI arXiv Link
Gourmelon, Nicolas Steps towards a classification of \(C^r\)-generic dynamics close to homoclinic points. arXiv:1410.1758 Preprint, arXiv:1410.1758 [math.DS] (2014). MSC: 37Cxx 37Dxx 37Gxx 28Dxx 34C23 34C37 34K18 BibTeX Cite \textit{N. Gourmelon}, ``Steps towards a classification of $C^r$-generic dynamics close to homoclinic points'', Preprint, arXiv:1410.1758 [math.DS] (2014) Full Text: arXiv OA License
Broer, Henk W. Resonance and fractal geometry. (English) Zbl 1356.70028 Acta Appl. Math. 120, No. 1, 61-86 (2012). MSC: 70K30 28A80 70K42 70K50 34C15 34C23 37N05 PDFBibTeX XMLCite \textit{H. W. Broer}, Acta Appl. Math. 120, No. 1, 61--86 (2012; Zbl 1356.70028) Full Text: DOI
Gauthier, Thomas Strong bifurcation loci of full Hausdorff dimension. (Lieux de bifurcation maximale de dimension de Hausdorff totale.) (English. French summary) Zbl 1326.37036 Ann. Sci. Éc. Norm. Supér. (4) 45, No. 6, 947-984 (2012). Reviewer: Federico Quallbrunn (Buenos Aires) MSC: 37F45 32U15 28A78 PDFBibTeX XMLCite \textit{T. Gauthier}, Ann. Sci. Éc. Norm. Supér. (4) 45, No. 6, 947--984 (2012; Zbl 1326.37036) Full Text: DOI arXiv Link
Agop, M.; Paun, V. P.; Dandu-Bibire, T. Chaos via fractality in gravitational systems dynamics: a new approach. I. (English) Zbl 1258.83020 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 12, Paper No. 1250299, 19 p. (2012). MSC: 83C22 34C60 34C23 34D08 34C28 28A80 PDFBibTeX XMLCite \textit{M. Agop} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 12, Paper No. 1250299, 19 p. (2012; Zbl 1258.83020) Full Text: DOI
Wu, Yu; Lin, Wei Adaptively locating unknown steady states: formalism and basin of attraction. (English) Zbl 1252.34069 Phys. Lett., A 375, No. 37, 3279-3289 (2011). MSC: 34H10 93C40 34D45 37L10 28A80 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{W. Lin}, Phys. Lett., A 375, No. 37, 3279--3289 (2011; Zbl 1252.34069) Full Text: DOI
Marszalek, Wieslaw Prototypical circuits with oscillatory hierarchical sequences, bifurcations and fractal properties. (English) Zbl 1248.94129 Int. J. Pure Appl. Math. 71, No. 2, 309-328 (2011). Reviewer: Zhanyuan Hou (London) MSC: 94C05 37M20 34C15 28A80 47N70 PDFBibTeX XMLCite \textit{W. Marszalek}, Int. J. Pure Appl. Math. 71, No. 2, 309--328 (2011; Zbl 1248.94129) Full Text: Link
Milišic, Josipa Pina; Žubrinić, Darko; Županović, Vesna Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schrödinger Cauchy problems. (English) Zbl 1208.35140 Electron. J. Qual. Theory Differ. Equ. 2010, Paper No. 60, 32 p. (2010). MSC: 35Q55 37G35 28A12 34C15 35R09 PDFBibTeX XMLCite \textit{J. P. Milišic} et al., Electron. J. Qual. Theory Differ. Equ. 2010, Paper No. 60, 32 p. (2010; Zbl 1208.35140) Full Text: EMIS
Ananikyan, L. N.; Ananikian, N. S.; Chakhmakhchyan, L. A. Arnold tongues and Feigenbaum exponents of the rational mapping for \(q\)-state Potts model on recursive lattice: \(Q < 2\). (English) Zbl 1209.28005 Fractals 18, No. 3, 371-383 (2010). MSC: 28A80 PDFBibTeX XMLCite \textit{L. N. Ananikyan} et al., Fractals 18, No. 3, 371--383 (2010; Zbl 1209.28005) Full Text: DOI arXiv
Dong, Gaogao; Du, Ruijin; Tian, Lixin; Jia, Qiang A novel 3D autonomous system with different multilayer chaotic attractors. (English) Zbl 1234.37028 Phys. Lett., A 373, No. 42, 3838-3845 (2009). MSC: 37D45 37J35 37L30 28A80 37J20 PDFBibTeX XMLCite \textit{G. Dong} et al., Phys. Lett., A 373, No. 42, 3838--3845 (2009; Zbl 1234.37028) Full Text: DOI
Sun, Y. Y.; Wang, X. Y. Noise-perturbed quaternionic Mandelbrot sets. (English) Zbl 1194.28014 Int. J. Comput. Math. 86, No. 12, 2008-2028 (2009). Reviewer: Stéphane Seuret (Creteil) MSC: 28A80 37F45 PDFBibTeX XMLCite \textit{Y. Y. Sun} and \textit{X. Y. Wang}, Int. J. Comput. Math. 86, No. 12, 2008--2028 (2009; Zbl 1194.28014) Full Text: DOI
Wang, Xingyuan; Liang, Qingyong Reverse bifurcation and fractal of the compound logistic map. (English) Zbl 1221.37087 Commun. Nonlinear Sci. Numer. Simul. 13, No. 5, 913-927 (2008). MSC: 37E05 28A80 37F10 37F50 37G10 37M20 PDFBibTeX XMLCite \textit{X. Wang} and \textit{Q. Liang}, Commun. Nonlinear Sci. Numer. Simul. 13, No. 5, 913--927 (2008; Zbl 1221.37087) Full Text: DOI
Oyesanya, M. O.; Atabong, T. A. A fractional reaction diffusion model for tumor invasion. (English) Zbl 1147.92308 J. Niger. Math. Soc. 27, 159-195 (2008). MSC: 92C50 35K57 35B32 28A80 65C20 PDFBibTeX XMLCite \textit{M. O. Oyesanya} and \textit{T. A. Atabong}, J. Niger. Math. Soc. 27, 159--195 (2008; Zbl 1147.92308)
Wang, Xingyuan; Liang, Qingyong; Meng, Juan Dynamic analysis of the Carotid-Kundalini map. (English) Zbl 1154.37337 Mod. Phys. Lett. B 22, No. 4, 243-262 (2008). MSC: 37D45 37F45 28A80 PDFBibTeX XMLCite \textit{X. Wang} et al., Mod. Phys. Lett. B 22, No. 4, 243--262 (2008; Zbl 1154.37337) Full Text: DOI
Vaes, Stefaan Rigidity results for Bernoulli actions and their von Neumann algebras (after Sorin Popa). (English. French summary) Zbl 1194.46085 Séminaire Bourbaki. Volume 2005/2006. Exposés Nos. 952–966. Paris: Société Mathématique de France (ISBN 978-2-85629-230-3/pbk). Astérisque 311, 237-294, Exp. No. 961 (2007). MSC: 46L35 28D15 37A20 37A55 37L10 PDFBibTeX XMLCite \textit{S. Vaes}, Astérisque 311, 237--294, Exp. No. 961 (2007; Zbl 1194.46085) Full Text: arXiv Link
Elezović, Neven; Županović, Vesna; Žubrinić, Darko Box dimension of trajectories of some discrete dynamical systems. (English) Zbl 1133.37007 Chaos Solitons Fractals 34, No. 2, 244-252 (2007). MSC: 37C45 28A80 37E05 37G99 PDFBibTeX XMLCite \textit{N. Elezović} et al., Chaos Solitons Fractals 34, No. 2, 244--252 (2007; Zbl 1133.37007) Full Text: DOI arXiv
Mira, Christian Fractal sets from noninvertible maps. (English) Zbl 1162.28303 Novak, Miroslav M., Complexus mundi. Emergent patterns in nature. Hackensack, NJ: World Scientific (ISBN 981-256-666-X/hbk). 83-102 (2006). Reviewer: Nicolae-Adrian Secelean (Sibiu) MSC: 28A80 37D45 37G40 PDFBibTeX XMLCite \textit{C. Mira}, in: Complexus mundi. Emergent patterns in nature. Hackensack, NJ: World Scientific. 83--102 (2006; Zbl 1162.28303)
Žubrinić, Darko; Županović, Vesna Fractal analysis of spiral trajectories of some planar vector fields. (English) Zbl 1076.37015 Bull. Sci. Math. 129, No. 6, 457-485 (2005). Reviewer: Nicolae-Adrian Secelean (Sibiu) MSC: 37C45 14H50 28A75 34C23 28A80 PDFBibTeX XMLCite \textit{D. Žubrinić} and \textit{V. Županović}, Bull. Sci. Math. 129, No. 6, 457--485 (2005; Zbl 1076.37015) Full Text: DOI
Hutson, Vivian; Pym, John S.; Cloud, Michael J. Applications of functional analysis and operator theory. 2nd ed. (English) Zbl 1066.47001 Mathematics in Science and Engineering 200. Amsterdam: Elsevier (ISBN 0-444-51790-1/hbk). xiv, 426 p. (2005). Reviewer: Aleksandar Perović (Berlin) MSC: 47-01 46-01 47Nxx 46Nxx 46B03 28A25 46B10 47H07 47E05 47F05 46A50 47A70 47A60 65N30 PDFBibTeX XMLCite \textit{V. Hutson} et al., Applications of functional analysis and operator theory. 2nd ed. Amsterdam: Elsevier (2005; Zbl 1066.47001)
Mira, Christian; Bischi, Gian-Italo; Gardini, Laura About a route to fractalization of basins generated by noninvertible plane maps. (English) Zbl 1055.37051 Grazer Math. Ber. 346, 299-312 (2004). Reviewer: Adriana Buică (Cluj-Napoca) MSC: 37E99 37G99 28A20 37D45 PDFBibTeX XMLCite \textit{C. Mira} et al., Grazer Math. Ber. 346, 299--312 (2004; Zbl 1055.37051)
Agliari, Anna; Gardini, Laura; Mira, Christian Transition from a smooth basin boundary to a fractal one in a class of two-dimensional endomorphisms. (English) Zbl 1055.37049 Grazer Math. Ber. 346, 1-18 (2004). Reviewer: Adriana Buică (Cluj-Napoca) MSC: 37E99 37G99 28A80 PDFBibTeX XMLCite \textit{A. Agliari} et al., Grazer Math. Ber. 346, 1--18 (2004; Zbl 1055.37049)
Szemplińska-Stupnicka, Wanda Chaos, bifurcations and fractals around us. A brief introduction. (English) Zbl 1064.37027 World Scientific Series on Nonlinear Science. Series A 47. River Edge, NJ: World Scientific (ISBN 981-238-689-0/hbk). vi, 107 p. (2003). Reviewer: Emilia Petrisor (Timişoara) MSC: 37D45 28A80 37G15 82C03 37-01 PDFBibTeX XMLCite \textit{W. Szemplińska-Stupnicka}, Chaos, bifurcations and fractals around us. A brief introduction. River Edge, NJ: World Scientific (2003; Zbl 1064.37027)
Seleznev, E. P.; Zakharevich, A. M. Fractal properties of synchronous chaos in coupled maps. (Russian) Zbl 1049.37511 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 10, No. 5, 19-24 (2002). Reviewer: Andrei Zemskov (Moskva) MSC: 37D45 28A80 37C60 37M05 PDFBibTeX XMLCite \textit{E. P. Seleznev} and \textit{A. M. Zakharevich}, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 10, No. 5, 19--24 (2002; Zbl 1049.37511)
Margaris, Athanasios; Roumeliotis, Manos; Adamopoulos, Miltiadis Fractal dimensions in recurrent neuron models. (English) Zbl 1015.37050 Int. J. Pure Appl. Math. 3, No. 3, 299-316 (2002). MSC: 37N25 92C20 34D45 28A80 37C45 37G35 37D25 PDFBibTeX XMLCite \textit{A. Margaris} et al., Int. J. Pure Appl. Math. 3, No. 3, 299--316 (2002; Zbl 1015.37050)
Davies, Brian Exploring chaos. Theory and experiment. Studies in nonlinearity. (English) Zbl 0959.37001 Reading, MA: Perseus Books, Advanced Book Program. xiv, 237 p. (1999). MSC: 37-01 37D45 37C70 37E05 37G35 28A80 PDFBibTeX XMLCite \textit{B. Davies}, Exploring chaos. Theory and experiment. Studies in nonlinearity. Reading, MA: Perseus Books, Advanced Book Program (1999; Zbl 0959.37001)
Codreanu, Steliana; Mátyás, László An analytical study of bifurcations generated by some iterated function systems. (English) Zbl 0982.37029 Chaos Solitons Fractals 10, No. 8, 1343-1348 (1999). Reviewer: Messoud Efendiev (Berlin) MSC: 37E30 28A80 37G35 PDFBibTeX XMLCite \textit{S. Codreanu} and \textit{L. Mátyás}, Chaos Solitons Fractals 10, No. 8, 1343--1348 (1999; Zbl 0982.37029) Full Text: DOI
Norton, Alec Denjoy’s theorem with exponents. (English) Zbl 0924.58078 Proc. Am. Math. Soc. 127, No. 10, 3111-3118 (1999). MSC: 37G99 37E99 28A80 PDFBibTeX XMLCite \textit{A. Norton}, Proc. Am. Math. Soc. 127, No. 10, 3111--3118 (1999; Zbl 0924.58078) Full Text: DOI
Johnson, R. An application of topological dynamics to bifurcation theory. (English) Zbl 0905.34014 Nerurkar, M. G. (ed.) et al., Topological dynamics and applications. A volume in honor of Robert Ellis. Proceedings of a conference in honor of the retirement of Robert Ellis, Minneapolis, MN, USA, April 5–6, 1995. Providence, RI: American Mathematical Society. Contemp. Math. 215, 323-334 (1998). Reviewer: M.Scheutzow (Berlin) MSC: 34C23 37G99 34F05 28D10 34D45 PDFBibTeX XMLCite \textit{R. Johnson}, Contemp. Math. 215, 323--334 (1998; Zbl 0905.34014)
Ji, Min Multiplicity of periodic solutions to Birkhoff’s billiard ball problem. (English) Zbl 0889.58065 Chin. Sci. Bull. 42, No. 5, 353-355 (1997). Reviewer: E.Ershov (St.Peterburg) MSC: 37G99 28D05 PDFBibTeX XMLCite \textit{M. Ji}, Chin. Sci. Bull. 42, No. 5, 353--355 (1997; Zbl 0889.58065) Full Text: DOI
Blank, Michael Discreteness and continuity in problems of chaotic dynamics. Transl. from the author from an original Russian manuscript. (English) Zbl 0881.58047 Translations of Mathematical Monographs. 161. Providence, RI: American Mathematical Society (AMS). xiii, 161 p. (1997). Reviewer: H.Crauel (Berlin) MSC: 37D99 37-02 37D45 28-02 28D05 37A99 37C75 37G99 37J40 PDFBibTeX XMLCite \textit{M. Blank}, Discreteness and continuity in problems of chaotic dynamics. Transl. from the author from an original Russian manuscript. Providence, RI: American Mathematical Society (1997; Zbl 0881.58047)
Moreira, Carlos Gustavo Stable intersections of Cantor sets and homoclinic bifurcations. (English) Zbl 0865.58035 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 13, No. 6, 747-781 (1996). MSC: 37G99 37D99 37E99 28A78 PDFBibTeX XMLCite \textit{C. G. Moreira}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 13, No. 6, 747--781 (1996; Zbl 0865.58035) Full Text: Numdam EuDML
Gutkin, Eugene Billiards in polygons: Survey of recent results. (English) Zbl 1081.37525 J. Stat. Phys. 83, No. 1-2, 7-26 (1996). MSC: 37G99 28D20 PDFBibTeX XMLCite \textit{E. Gutkin}, J. Stat. Phys. 83, No. 1--2, 7--26 (1996; Zbl 1081.37525) Full Text: DOI
Ringland, John; Tresser, Charles A genealogy for finite kneading sequences of bimodal maps on the interval. (English) Zbl 0849.54033 Trans. Am. Math. Soc. 347, No. 12, 4599-4624 (1995). Reviewer: G.Swiatek (University Park) MSC: 54H20 37E99 28D20 37G99 26A18 PDFBibTeX XMLCite \textit{J. Ringland} and \textit{C. Tresser}, Trans. Am. Math. Soc. 347, No. 12, 4599--4624 (1995; Zbl 0849.54033) Full Text: DOI arXiv
Li, Michael Y.; Muldowney, James S. Lower bounds for the Hausdorff dimension of attractors. (English) Zbl 0830.34044 J. Dyn. Differ. Equations 7, No. 3, 457-469 (1995). MSC: 34D45 28A78 37D45 37G99 PDFBibTeX XMLCite \textit{M. Y. Li} and \textit{J. S. Muldowney}, J. Dyn. Differ. Equations 7, No. 3, 457--469 (1995; Zbl 0830.34044) Full Text: DOI
Arnold, Ludwig Random dynamical systems. (English) Zbl 0834.58026 Johnson, Russell (ed.), Dynamical systems. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (CIME) held in Montecatini Terme, Italy, June 13-22, 1994. Berlin: Springer-Verlag. Lect. Notes Math. 1609, 1-43 (1995). Reviewer: E.Petrisor (Timişoara) MSC: 37A99 54H20 60H10 60H15 28D20 37-02 PDFBibTeX XMLCite \textit{L. Arnold}, Lect. Notes Math. 1609, 1--43 (1995; Zbl 0834.58026)
Mendes, Pedro; Oliveira, Fernando On the topological structure of the arithmetic sum of two Cantor sets. (English) Zbl 0839.54027 Nonlinearity 7, No. 2, 329-343 (1994). MSC: 54H20 37G99 28A12 37E99 PDFBibTeX XMLCite \textit{P. Mendes} and \textit{F. Oliveira}, Nonlinearity 7, No. 2, 329--343 (1994; Zbl 0839.54027) Full Text: DOI
Hunt, Brian R.; Sauer, Tim; Yorke, James A. Prevalence: An addendum. (English) Zbl 0782.28007 Bull. Am. Math. Soc., New Ser. 28, No. 2, 306-307 (1993). Reviewer: H.Sato (Fukuoka) MSC: 28C20 60B11 37G99 PDFBibTeX XMLCite \textit{B. R. Hunt} et al., Bull. Am. Math. Soc., New Ser. 28, No. 2, 306--307 (1993; Zbl 0782.28007) Full Text: DOI arXiv
Hunt, Brian R.; Sauer, Tim; Yorke, James A. Prevalence: a translation-invariant “almost every” on infinite- dimensional spaces. (English) Zbl 0763.28009 Bull. Am. Math. Soc., New Ser. 27, No. 2, 217-238 (1992). Reviewer: H.Sato (Fukuoka) MSC: 28C20 60B11 37G99 PDFBibTeX XMLCite \textit{B. R. Hunt} et al., Bull. Am. Math. Soc., New Ser. 27, No. 2, 217--238 (1992; Zbl 0763.28009) Full Text: DOI
Leonov, G. A.; Boichenko, V. A. Lyapunov’s direct method in the estimation of the Hausdorff dimension of attractors. (English) Zbl 0758.58022 Acta Appl. Math. 26, No. 1, 1-60 (1992). Reviewer: E.Gomozov (Khar’kov) MSC: 37D45 37G99 28A78 37N99 PDFBibTeX XMLCite \textit{G. A. Leonov} and \textit{V. A. Boichenko}, Acta Appl. Math. 26, No. 1, 1--60 (1992; Zbl 0758.58022) Full Text: DOI
Kraft, Roger Intersections of thick Cantor sets. (English) Zbl 0753.28009 Mem. Am. Math. Soc. 468, 119 p. (1992). Reviewer: G.Swiatek (Stony Brook) MSC: 28A80 37G99 54F50 PDFBibTeX XMLCite \textit{R. Kraft}, Intersections of thick Cantor sets. Providence, RI: American Mathematical Society (AMS) (1992; Zbl 0753.28009) Full Text: DOI
Bugiel, Piotr Invariant measures of \(C^ 2\)-diffeomorphisms of Markov type in \(\mathbb{R}^ d\). (English) Zbl 0765.58014 Monatsh. Math. 113, No. 4, 255-263 (1992). Reviewer: P.Bugiel (Kraków) MSC: 37A99 28D05 37C70 37G99 PDFBibTeX XMLCite \textit{P. Bugiel}, Monatsh. Math. 113, No. 4, 255--263 (1992; Zbl 0765.58014) Full Text: DOI EuDML
Stojanov, Luchezar Note on the periodic points of the billiard. (English) Zbl 0777.58033 J. Differ. Geom. 34, No. 3, 835-837 (1991). Reviewer: A.Pelczar (Kraków) MSC: 37G99 37C70 28A12 PDFBibTeX XMLCite \textit{L. Stojanov}, J. Differ. Geom. 34, No. 3, 835--837 (1991; Zbl 0777.58033) Full Text: DOI
Vargas, Edson Bifurcation frequency for unimodal maps. (English) Zbl 0741.58028 Commun. Math. Phys. 141, No. 3, 633-650 (1991). Reviewer: E.Gomozov (Khar’kov) MSC: 37A99 28D10 26A18 37G99 PDFBibTeX XMLCite \textit{E. Vargas}, Commun. Math. Phys. 141, No. 3, 633--650 (1991; Zbl 0741.58028) Full Text: DOI
Afraimovich, V. S.; Shereshevskij, M. A. The Hausdorff dimension of attractors appearing by saddle-node bifurcations. (English) Zbl 0874.58037 Int. J. Bifurcation Chaos Appl. Sci. Eng. 1, No. 2, 309-325 (1991). MSC: 37D45 37G99 28A78 PDFBibTeX XMLCite \textit{V. S. Afraimovich} and \textit{M. A. Shereshevskij}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 1, No. 2, 309--325 (1991; Zbl 0874.58037) Full Text: DOI
Rasband, S. Neil Chaotic dynamics of nonlinear systems. (English) Zbl 0863.58053 Wiley Professional Paperback Series. New York, NY: Wiley. x, 230 p. (1990). MSC: 37D45 37-02 37G99 28A80 PDFBibTeX XMLCite \textit{S. N. Rasband}, Chaotic dynamics of nonlinear systems. New York, NY: Wiley (1990; Zbl 0863.58053)
Sharkovskij, A. N.; Kolyada, S. F.; Sivak, A. G.; Fedorenko, V. V. Dynamics of one-dimensional mappings. (Dinamika odnomernykh otobrazhenij.) (Russian) Zbl 0759.58001 Kiev: Naukova Dumka. 216 p. (1989). Reviewer: H.Haase (Greifswald) MSC: 58-01 37E99 37B99 37C25 26A18 28D05 PDFBibTeX XMLCite \textit{A. N. Sharkovskij} et al., Dinamika odnomernykh otobrazhenij (Russian). Kiev: Naukova Dumka (1989; Zbl 0759.58001)
Devaney, Robert L. (ed.); Keen, Linda (ed.) [Devaney, R. L.; Holmes, P. J.; Alligood, K. T.; Yorke, J. A.; Keen, Linda; Branner, B.; Harrison, J.; Barnsley, M. F.] Chaos and fractals. The mathematics behind the computer graphics. (Lectures delivered in the AMS short course on August 6-7, 1988, given in conjunction with the AMS centennial meeting in Procidence, RI). (English) Zbl 0677.58004 Proceedings of Symposia in Applied Mathematics, 39; AMS Short Course Lecture Notes; Introductory Survey Lectures. Providence, RI: American Mathematical Society (AMS). ix, 148 p. $ 31.00 (1989). Reviewer: G.Ehrig MSC: 37-06 37D45 37-02 37G99 37B10 00B25 68U05 37F50 30D05 28A80 PDFBibTeX XMLCite \textit{R. L. Devaney} (ed.) and \textit{L. Keen} (ed.), Chaos and fractals. The mathematics behind the computer graphics. (Lectures delivered in the AMS short course on August 6-7, 1988, given in conjunction with the AMS centennial meeting in Procidence, RI). Providence, RI: American Mathematical Society (1989; Zbl 0677.58004)
Katsuda, Atsushi; Sunada, Toshikazu Dynamical L-functions and homology of closed orbits. (English) Zbl 0706.58045 Bull. Am. Math. Soc., New Ser. 20, No. 1, 73-77 (1989). Reviewer: L.Bakule MSC: 37D99 37G99 37D40 53D25 54H20 11M99 28D20 PDFBibTeX XMLCite \textit{A. Katsuda} and \textit{T. Sunada}, Bull. Am. Math. Soc., New Ser. 20, No. 1, 73--77 (1989; Zbl 0706.58045) Full Text: DOI
Yacobson, M. V. Stochastic behavior above Feigenbaum’s parameter value. (English) Zbl 0701.58039 Dynamical systems and ergodic theory, 28th Sem. St. Banach Int. Math. Cent., Warsaw/Pol. 1986, Banach Cent. Publ. 23, 465-474 (1989). Reviewer: Yu.Kifer MSC: 37A99 37G99 28D10 PDFBibTeX XML
Takens, Floris Measure and category. (English) Zbl 0675.58009 Singularities, Banach Cent. Publ. 20, 411-418 (1988). Reviewer: F.Takens MSC: 58C35 37G99 28A99 58C25 PDFBibTeX XML
Peitgen, H.-O.; Prüfer, M.; Schmitt, K. Global aspects of the continuous and discrete Newton method: A case study. (English) Zbl 0669.65038 Acta Appl. Math. 13, No. 1-2, 123-202 (1988). Reviewer: E.Allgower MSC: 65H10 28A75 65L10 37C10 PDFBibTeX XMLCite \textit{H. O. Peitgen} et al., Acta Appl. Math. 13, No. 1--2, 123--202 (1988; Zbl 0669.65038) Full Text: DOI
Collet, P. Hausdorff dimension of the singularities for invariant measures of expanding dynamical systems. (English) Zbl 0666.58026 Dynamical systems, Proc. Symp., Valparaiso/Chile 1986, Lect. Notes Math. 1331, 47-58 (1988). Reviewer: A.Riede MSC: 37A99 82B30 28D20 37G99 PDFBibTeX XML
Yakobson, M. V. Universal behavior and stochasticity for one dimensional systems. (English) Zbl 0683.58031 Probability theory and applications, Proc. World Congr. Bernoulli Soc., Tashkent/USSR 1986, Vol. 1, 85-89 (1987). Reviewer: M.Denker MSC: 37A10 28D05 37D25 37E05 PDFBibTeX XML
Fahner, Gerald; Grassberger, Peter Entropy estimates for dynamical systems. (English) Zbl 0666.58027 Complex Syst. 1, No. 6, 1093-1098 (1987). Reviewer: A.Riede MSC: 37A99 28D20 37G99 68Q80 PDFBibTeX XMLCite \textit{G. Fahner} and \textit{P. Grassberger}, Complex Syst. 1, No. 6, 1093--1098 (1987; Zbl 0666.58027)
Blokh, A. M. Letter to the editor. (English. Russian original) Zbl 0659.28013 Russ. Math. Surv. 42, No. 6, 249 (1987); translation from Usp. Mat. Nauk 42, No. 6, 233 (1987). MSC: 28D10 54H20 28D20 37A99 37G99 37C70 PDFBibTeX XMLCite \textit{A. M. Blokh}, Russ. Math. Surv. 42, No. 6, 249 (1987; Zbl 0659.28013); translation from Usp. Mat. Nauk 42, No. 6, 233 (1987) Full Text: DOI
Yakobson, M. V. Dynamics of complex quadratic polynomials and the fractal sets. (Russian) Zbl 0635.58026 Mathematical mechanisms of turbulence (modern nonlinear dynamics in application to turbulence simulation), Collect. sci. Works, Kiev 1986, 134-140 (1986). Reviewer: F.Ling MSC: 37F10 37F15 37F45 30D45 26A18 28A80 PDFBibTeX XML
Devaney, Robert L. Exploding Julia sets. (English) Zbl 0603.58012 Chaotic dynamics and fractals, Proc. Conf., Atlanta/Ga. 1985, Notes Rep. Math. Sci. Eng. 2, 141-154 (1986). MSC: 37G99 28A75 PDFBibTeX XML
Franks, John; Williams, R. F. Entropy and knots. (English) Zbl 0587.58038 Trans. Am. Math. Soc. 291, 241-253 (1985). MSC: 37G99 57M25 28D20 37C10 37A99 PDFBibTeX XMLCite \textit{J. Franks} and \textit{R. F. Williams}, Trans. Am. Math. Soc. 291, 241--253 (1985; Zbl 0587.58038) Full Text: DOI
Meunier, C. Continuity of type-I intermittency from a measure-theoretical point of view. (English) Zbl 0588.58052 J. Stat. Phys. 36, 321-366 (1984). MSC: 37G99 28C10 58C35 PDFBibTeX XMLCite \textit{C. Meunier}, J. Stat. Phys. 36, 321--366 (1984; Zbl 0588.58052) Full Text: DOI
Devaney, Robert L. Homoclinic bifurcations and the area-conserving Henon mapping. (English) Zbl 0527.58029 J. Differ. Equations 51, 254-266 (1984). MSC: 37G99 28D10 PDFBibTeX XMLCite \textit{R. L. Devaney}, J. Differ. Equations 51, 254--266 (1984; Zbl 0527.58029) Full Text: DOI
Blokh, A. M. Decomposition of dynamical systems on an interval. (English. Russian original) Zbl 0557.28017 Russ. Math. Surv. 38, No. 5, 133-134 (1983); translation from Usp. Mat. Nauk 38, No. 5(233), 179-180 (1983). Reviewer: J.Šiška MSC: 28D10 28D20 37A99 54H20 37G99 37C70 PDFBibTeX XMLCite \textit{A. M. Blokh}, Russ. Math. Surv. 38, No. 5, 133--134 (1983; Zbl 0557.28017); translation from Usp. Mat. Nauk 38, No. 5(233), 179--180 (1983) Full Text: DOI
Rimmer, Russell J. Generic bifurcations for involutory area preserving maps. (English) Zbl 0512.58028 Mem. Am. Math. Soc. 272, 165 p. (1983). MSC: 37G99 28D15 37J99 PDFBibTeX XMLCite \textit{R. J. Rimmer}, Generic bifurcations for involutory area preserving maps. Providence, RI: American Mathematical Society (AMS) (1983; Zbl 0512.58028) Full Text: DOI
Bifurcation, théorie ergodique et applications. Colloque du 22 juin au 26 juin 1981, Dijon. (French) Zbl 0509.00012 Astérisque, 98-99. Publie avec le concours du Centre National de la Recherche Scientifique. Paris: Societe Mathematique de France. 225 p. (1983). MSC: 00Bxx 28-06 35-06 58-06 PDFBibTeX XML
Palmore, Julian I. Bifurcation of stationary vortex configurations. (English) Zbl 0498.76024 Nonlinear problems: present and future, Proc. 1st Los Alamos Conf., 1981, North-Holland Math. Stud. 61, 127-131 (1982). MSC: 76B47 54H20 28D10 PDFBibTeX XML
Mather, John N. Invariant subsets for area preserving homeomorphisms of surfaces. (English) Zbl 0505.58027 Adv. Math., Suppl. Stud. 7B, 531-562 (1981). MSC: 37G99 28D15 37C80 57R50 PDFBibTeX XML
Sarnak, Peter Asymptotic behavior of periodic orbits of the horocycle flow and Eisenstein series. (English) Zbl 0501.58027 Commun. Pure Appl. Math. 34, 719-739 (1981). MSC: 37A99 30F99 28D10 37C10 37G99 11M06 PDFBibTeX XMLCite \textit{P. Sarnak}, Commun. Pure Appl. Math. 34, 719--739 (1981; Zbl 0501.58027) Full Text: DOI
Jonker, Leo; Rand, David Bifurcations in one dimension. I. The nonwandering set. (English) Zbl 0475.58014 Invent. Math. 62, 347-365 (1981). MSC: 37G99 37C70 37D45 37A99 54C70 28D20 PDFBibTeX XMLCite \textit{L. Jonker} and \textit{D. Rand}, Invent. Math. 62, 347--365 (1981; Zbl 0475.58014) Full Text: DOI EuDML
Gillot, C.; Gillot, G. Topological entropy of Markov processes for a \(C^ 0-\)endomorphism of the interval. (English) Zbl 0469.58010 Numerical methods in the study of critical phenomena, Proc. Colloq., Carry-le-Rouet/Fr. 1980, Springer Ser. Synerg. 9, 57-63 (1981). MSC: 37G99 37D45 54C70 28D20 60J05 PDFBibTeX XML
Guckenheimer, John The growth of topological entropy for one dimensional maps. (English) Zbl 0462.58022 Global theory of dynamical systems, Proc. int. Conf., Evanston/Ill. 1979, Lect. Notes Math. 819, 216-223 (1980). MSC: 37D45 28D20 54C70 54H20 37G99 PDFBibTeX XML
Katok, A. Lyapunov exponents, entropy and periodic orbits for diffeomorphisms. (English) Zbl 0445.58015 Publ. Math., Inst. Hautes Étud. Sci. 51, 137-173 (1980). MSC: 37A99 37C75 37D99 37G99 28D20 PDFBibTeX XMLCite \textit{A. Katok}, Publ. Math., Inst. Hautes Étud. Sci. 51, 137--173 (1980; Zbl 0445.58015) Full Text: DOI Numdam EuDML
Campanino, Massimo Two remarks on the computer study of differentiable dynamical systems. (English) Zbl 0429.58011 Commun. Math. Phys. 74, 15-20 (1980). MSC: 37A99 28D05 37G99 PDFBibTeX XMLCite \textit{M. Campanino}, Commun. Math. Phys. 74, 15--20 (1980; Zbl 0429.58011) Full Text: DOI
Hutson, V.; Pym, J. S. Applications of functional analysis and operator theory. (English) Zbl 0426.46009 Mathematics in Science and Engineering, Vol. 146. London etc.: Academic Press. XI, 389 p. $ 39.50 (1980). MSC: 46B03 46-02 47-02 28A25 46B10 47H07 47E05 47F05 46A50 47A70 47A60 65N30 PDFBibTeX XML
Derrida, B.; Gervois, A.; Pomeau, Y. Universal metric properties of bifurcations of endomorphisms. (English) Zbl 0416.28011 J. Phys. A 12, 269-296 (1979). MSC: 28D05 47J05 PDFBibTeX XMLCite \textit{B. Derrida} et al., J. Phys. A, Math. Gen. 12, 269--296 (1979; Zbl 0416.28011) Full Text: DOI
Jonker, Leo; Rand, David Une borne inferieure pour l’entropie de certaines applications de l’intervalle dans lui-meme. (French) Zbl 0396.58027 C. R. Acad. Sci., Paris, Sér. A 287, 501-502 (1978). MSC: 37G99 28D20 54H20 37A99 PDFBibTeX XMLCite \textit{L. Jonker} and \textit{D. Rand}, C. R. Acad. Sci., Paris, Sér. A 287, 501--502 (1978; Zbl 0396.58027)