Devaney, Robert L.; Marotta, Sebastian M. Mandelpinski necklaces in the parameter planes of rational maps. (English) Zbl 1487.37056 Devaney, Robert L. (ed.) et al., Topological dynamics and topological data analysis. IWCTA 2018. Selected papers based on the presentations at the international workshop and conference on topology & applications, Kochi, India, December 9–11, 2018. Singapore: Springer. Springer Proc. Math. Stat. 350, 95-119 (2021). MSC: 37F10 30D05 PDFBibTeX XMLCite \textit{R. L. Devaney} and \textit{S. M. Marotta}, Springer Proc. Math. Stat. 350, 95--119 (2021; Zbl 1487.37056) Full Text: DOI
Devaney, Robert L. Mandelpinski structures in the parameter planes of rational maps. (English) Zbl 1362.37089 Auslander, Joseph (ed.) et al., Ergodic theory, dynamical systems, and the continuing influence of John C. Oxtoby. Oxtoby centennial conference, Bryn Mawr College, Bryn Mawr, PA, USA, October 30–31, 2010. Williams ergodic theory conference, Williams College, Williamstown, MA, USA, July 27–29, 2012. AMS special session on ergodic theory and symbolic dynamics, Baltimore, MD, USA, January 17–18, 2014. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2299-8/pbk; 978-1-4704-3589-9/ebook). Contemporary Mathematics 678, 133-150 (2016). MSC: 37F10 37F45 PDFBibTeX XMLCite \textit{R. L. Devaney}, Contemp. Math. 678, 133--150 (2016; Zbl 1362.37089) Full Text: DOI
Cuzzocreo, Daniel; Devaney, Robert L. Simple Mandelpinski necklaces for \(z^2 + \lambda /z^2\). (English) Zbl 1356.37064 Alsedà i Soler, Lluís (ed.) et al., Difference equations, discrete dynamical systems and applications, ICDEA, Barcelona, Spain, July 23–27, 2012. Proceedings of the 18th international conference. Berlin: Springer (ISBN 978-3-662-52926-3/hbk; 978-3-662-52927-0/ebook). Springer Proceedings in Mathematics & Statistics 180, 63-72 (2016). MSC: 37F45 37F50 37F10 PDFBibTeX XMLCite \textit{D. Cuzzocreo} and \textit{R. L. Devaney}, Springer Proc. Math. Stat. 180, 63--72 (2016; Zbl 1356.37064) Full Text: DOI
Devaney, Robert L. Exotic topology in complex dynamics. (English) Zbl 1418.37076 Indag. Math., New Ser. 27, No. 5, 1116-1126 (2016). MSC: 37F10 37F50 37F35 28A80 PDFBibTeX XMLCite \textit{R. L. Devaney}, Indag. Math., New Ser. 27, No. 5, 1116--1126 (2016; Zbl 1418.37076) Full Text: DOI
Devaney, Robert L. A Mandelpinski maze for rational maps of the form \(z^n + \lambda / z^d\). (English) Zbl 1358.37085 Indag. Math., New Ser. 27, No. 5, 1042-1058 (2016). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 37F45 37F50 PDFBibTeX XMLCite \textit{R. L. Devaney}, Indag. Math., New Ser. 27, No. 5, 1042--1058 (2016; Zbl 1358.37085) Full Text: DOI
Blanchard, Paul; Cuzzocreo, Daniel; Devaney, Robert L.; Fitzgibbon, Elizabeth Accessible Mandelbrot sets in the family \(z^n + \lambda /z^n\). (English) Zbl 1338.37057 Qual. Theory Dyn. Syst. 15, No. 1, 49-66 (2016). MSC: 37F10 37F45 PDFBibTeX XMLCite \textit{P. Blanchard} et al., Qual. Theory Dyn. Syst. 15, No. 1, 49--66 (2016; Zbl 1338.37057) Full Text: DOI
Devaney, Robert L. Mandelpinski spokes in the parameter planes of rational maps. (English) Zbl 1336.37035 J. Difference Equ. Appl. 22, No. 2, 330-342 (2016). MSC: 37F10 37F45 PDFBibTeX XMLCite \textit{R. L. Devaney}, J. Difference Equ. Appl. 22, No. 2, 330--342 (2016; Zbl 1336.37035) Full Text: DOI
Devaney, Robert L. Limiting behavior of Julia sets of singularly perturbed rational maps. (English) Zbl 1321.37052 Bonifant, Araceli (ed.) et al., Frontiers in complex dynamics. In celebration of John Milnor’s 80th birthday. Based on a conference, Banff, Canada, February 2011. Princeton, NJ: Princeton University Press (ISBN 978-0-691-15929-4/hbk; 978-1-400-85131-7/ebook). 121-134 (2014). MSC: 37F50 37F10 37-02 PDFBibTeX XMLCite \textit{R. L. Devaney}, in: Frontiers in complex dynamics. In celebration of John Milnor's 80th birthday. Based on a conference, Banff, Canada, February 2011. Princeton, NJ: Princeton University Press. 121--134 (2014; Zbl 1321.37052)
Devaney, Robert L. Parameter planes for complex analytic maps. (English) Zbl 1346.37001 Bandt, Christoph (ed.) et al., Fractals, wavelets, and their applications. Contributions from the international conference and workshop on fractals and wavelets, Kerala, India, November 9–12, 2013. Cham: Springer (ISBN 978-3-319-08104-5/hbk; 978-3-319-08105-2/ebook). Springer Proceedings in Mathematics & Statistics 92, 61-77 (2014). MSC: 37-01 37F45 37F50 37F10 PDFBibTeX XMLCite \textit{R. L. Devaney}, Springer Proc. Math. Stat. 92, 61--77 (2014; Zbl 1346.37001) Full Text: DOI
Blanchard, Paul; Cuzzocreo, Daniel; Devaney, Robert L.; Fitzgibbon, Elizabeth; Silvestri, Stefano A dynamical invariant for Sierpiński cardioid Julia sets. (English) Zbl 1370.37086 Fundam. Math. 226, No. 3, 253-277 (2014). MSC: 37F10 37F45 PDFBibTeX XMLCite \textit{P. Blanchard} et al., Fundam. Math. 226, No. 3, 253--277 (2014; Zbl 1370.37086) Full Text: DOI
Kozma, Robert T.; Devaney, Robert L. Julia sets converging to filled quadratic Julia sets. (English) Zbl 1291.37061 Ergodic Theory Dyn. Syst. 34, No. 1, 171-184 (2014). MSC: 37F10 37F50 PDFBibTeX XMLCite \textit{R. T. Kozma} and \textit{R. L. Devaney}, Ergodic Theory Dyn. Syst. 34, No. 1, 171--184 (2014; Zbl 1291.37061) Full Text: DOI
Devaney, Robert L.; Fagella, Núria; Garijo, Antonio; Jarque, Xavier Sierpiński curve Julia sets for quadratic rational maps. (English) Zbl 1317.37049 Ann. Acad. Sci. Fenn., Math. 39, No. 1, 3-22 (2014). Reviewer: Federico Quallbrunn (Buenos Aires) MSC: 37F10 37F15 37F20 37F45 PDFBibTeX XMLCite \textit{R. L. Devaney} et al., Ann. Acad. Sci. Fenn., Math. 39, No. 1, 3--22 (2014; Zbl 1317.37049) Full Text: DOI arXiv
Devaney, Robert L. A Cantor-Mandelbrot-Sierpiński tree in the parameter plane for rational maps. (English) Zbl 1301.37030 Trans. Am. Math. Soc. 366, No. 2, 1095-1117 (2014). Reviewer: Patricia Dominguez (Puebla) MSC: 37F10 37F45 PDFBibTeX XMLCite \textit{R. L. Devaney}, Trans. Am. Math. Soc. 366, No. 2, 1095--1117 (2014; Zbl 1301.37030) Full Text: DOI Link
Devaney, Robert L. Singular perturbations of complex polynomials. (English) Zbl 1277.37074 Bull. Am. Math. Soc., New Ser. 50, No. 3, 391-429 (2013). MSC: 37F10 37F45 37F50 PDFBibTeX XMLCite \textit{R. L. Devaney}, Bull. Am. Math. Soc., New Ser. 50, No. 3, 391--429 (2013; Zbl 1277.37074) Full Text: DOI
Blanchard, Paul; Çilingir, Figen; Cuzzocreo, Daniel; Devaney, Robert L.; Look, Daniel M.; Russell, Elizabeth D. Checkerboard Julia sets for rational maps. (English) Zbl 1270.37033 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 2, Article ID 1330004, 13 p. (2013). MSC: 37F10 37F45 37F50 37B15 PDFBibTeX XMLCite \textit{P. Blanchard} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 2, Article ID 1330004, 13 p. (2013; Zbl 1270.37033) Full Text: DOI arXiv
Devaney, Robert L. Dynamics of \(z^n + \lambda/z^n\); why the case \(n = 2\) is crazy. (English) Zbl 1333.37022 Bonahon, Francis (ed.) et al., Conformal dynamics and hyperbolic geometry. Conference on conformal dynamics and hyperbolic geometry, Graduate School and University Center of CUNY, New York, NY, USA, October 21–23, 2010, in honor of Linda Keen’s 70th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5348-1/pbk; 978-0-8218-9025-7/ebook). Contemporary Mathematics 573, 49-65 (2012). MSC: 37F10 37F45 37F50 37F20 37-02 PDFBibTeX XMLCite \textit{R. L. Devaney}, Contemp. Math. 573, 49--65 (2012; Zbl 1333.37022)
Devaney, Robert L. Complex exponential dynamics. (English) Zbl 1255.37001 Broer, Henk (ed.) et al., Handbook of dynamical systems. Volume 3. Amsterdam: Elsevier (ISBN 978-0-444-53141-4/hbk; 978-0-444-63821-2/pbk; 978-0-08-093226-2/ebook). 125-223 (2010). Reviewer: Helena Mihaljević (Berlin) MSC: 37-02 37F10 30D05 37F50 37F15 37F45 PDFBibTeX XMLCite \textit{R. L. Devaney}, in: Handbook of dynamical systems. Volume 3. Amsterdam: Elsevier. 125--223 (2010; Zbl 1255.37001)
Devaney, Robert L. Singular perturbations of complex analytic dynamical systems. (English) Zbl 1215.37035 Thiel, Marco (ed.) et al., Nonlinear dynamics and chaos. Advances and perspectives. Heidelberg: Springer (ISBN 978-3-642-04628-5/hbk; 978-3-642-04629-2/ebook). Understanding Complex Systems; Springer: Complexity, 13-29 (2010). MSC: 37F50 37F10 PDFBibTeX XMLCite \textit{R. L. Devaney}, in: Nonlinear dynamics and chaos. Advances and perspectives. Heidelberg: Springer. 13--29 (2010; Zbl 1215.37035)
Çilingir, Figen; Devaney, Robert L.; Russell, Elizabeth D. Extending external rays throughout the Julia sets of rational maps. (English) Zbl 1205.37056 J. Fixed Point Theory Appl. 7, No. 1, 223-240 (2010). MSC: 37F10 37F45 PDFBibTeX XMLCite \textit{F. Çilingir} et al., J. Fixed Point Theory Appl. 7, No. 1, 223--240 (2010; Zbl 1205.37056) Full Text: DOI
Devaney, Robert L. Intertwined internal rays in Julia sets of rational maps. (English) Zbl 1187.37067 Fundam. Math. 206, 139-159 (2009). MSC: 37F10 37F45 37F50 PDFBibTeX XMLCite \textit{R. L. Devaney}, Fundam. Math. 206, 139--159 (2009; Zbl 1187.37067) Full Text: DOI
Blanchard, Paul; Devaney, Robert L.; Garijo, Antonio; Marotta, Sebastian M.; Russell, Elizabeth D. The rabbit and other Julia sets wrapped in Sierpiński carpets. (English) Zbl 1180.37070 Schleicher, Dierk (ed.), Complex dynamics. Families and friends. Wellesley, MA: A K Peters (ISBN 978-1-56881-450-6/hbk). 277-295 (2009). MSC: 37F50 37F10 PDFBibTeX XMLCite \textit{P. Blanchard} et al., in: Complex dynamics. Families and friends. Wellesley, MA: A K Peters. 277--295 (2009; Zbl 1180.37070)
Devaney, Robert L.; Pilgrim, Kevin M. Dynamic classification of escape time Sierpiński curve Julia sets. (English) Zbl 1160.37362 Fundam. Math. 202, No. 2, 181-198 (2009). MSC: 37F10 37F45 37F50 PDFBibTeX XMLCite \textit{R. L. Devaney} and \textit{K. M. Pilgrim}, Fundam. Math. 202, No. 2, 181--198 (2009; Zbl 1160.37362) Full Text: DOI
Morabito, Mark; Devaney, Robert L. Limiting Julia sets for singularly perturbed rational maps. (English) Zbl 1165.37324 Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 10, 3175-3181 (2008). MSC: 37F50 37F10 PDFBibTeX XMLCite \textit{M. Morabito} and \textit{R. L. Devaney}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 10, 3175--3181 (2008; Zbl 1165.37324) Full Text: DOI
Blanchard, Paul; Devaney, Robert L.; Garijo, Antonio; Russell, Elizabeth D. A generalized version of the McMullen domain. (English) Zbl 1165.37321 Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 8, 2309-2318 (2008). MSC: 37F10 37F50 PDFBibTeX XMLCite \textit{P. Blanchard} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 8, 2309--2318 (2008; Zbl 1165.37321) Full Text: DOI
Devaney, Robert L.; Marotta, Sebastian M. Evolution of the McMullen domain for singularly perturbed rational maps. (English) Zbl 1156.37010 Topol. Proc. 32, 301-320 (2008). MSC: 37F10 54F15 37F50 PDFBibTeX XMLCite \textit{R. L. Devaney} and \textit{S. M. Marotta}, Topol. Proc. 32, 301--320 (2008; Zbl 1156.37010)
Devaney, Robert L. Cantor webs in the parameter and dynamical planes of rational maps. (English) Zbl 1154.37347 Lyubich, Mikhail (ed.) et al., Holomorphic dynamics and renormalization. A volume in honour of John Milnor’s 75th birthday. Proceedings of the workshop on holomorphic dynamics, Toronto, Canada, March 7–11, 2006. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4275-1/hbk). Fields Institute Communications 53, 105-123 (2008). MSC: 37F10 37F45 PDFBibTeX XMLCite \textit{R. L. Devaney}, Fields Inst. Commun. 53, 105--123 (2008; Zbl 1154.37347)
Devaney, Robert L.; Holzer, Matt; Look, Daniel M.; Moreno Rocha, Mónica; Uminsky, David Singular perturbations of \(z^n\). (English) Zbl 1170.30009 Rippon, Philip J. (ed.) et al., Transcendental dynamics and complex analysis. In honour of Noel Baker. Cambridge: Cambridge University Press (ISBN 978-0-521-68372-2/pbk). London Mathematical Society Lecture Note Series 348, 111-138 (2008). Reviewer: George Csordas (Honolulu) MSC: 30D05 30D99 PDFBibTeX XMLCite \textit{R. L. Devaney} et al., Lond. Math. Soc. Lect. Note Ser. 348, 111--138 (2008; Zbl 1170.30009)
Devaney, Robert L.; Garijo, Antonio Julia sets converging to the unit disk. (English) Zbl 1128.37029 Proc. Am. Math. Soc. 136, No. 3, 981-988 (2008). MSC: 37F10 37F40 PDFBibTeX XMLCite \textit{R. L. Devaney} and \textit{A. Garijo}, Proc. Am. Math. Soc. 136, No. 3, 981--988 (2008; Zbl 1128.37029) Full Text: DOI
Devaney, Robert L. The McMullen domain: Satellite Mandelbrot sets and Sierpinski holes. (English) Zbl 1162.37021 Conform. Geom. Dyn. 11, 164-190 (2007). Reviewer: Bernd O. Stratmann (St. Andrews) MSC: 37F45 37F20 37F10 PDFBibTeX XMLCite \textit{R. L. Devaney}, Conform. Geom. Dyn. 11, 164--190 (2007; Zbl 1162.37021) Full Text: DOI
Devaney, Robert L. A myriad of Sierpiński curve Julia sets. (English) Zbl 1133.28003 Elaydi, S. (ed.) et al., Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-643-0/hbk). 131-148 (2007). Reviewer: Mourad Ben Slimane (Tunis) MSC: 28A80 PDFBibTeX XMLCite \textit{R. L. Devaney}, in: Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25--30, 2005. Hackensack, NJ: World Scientific. 131--148 (2007; Zbl 1133.28003)
Devaney, Robert L. Cantor sets of circles of Sierpiński curve Julia sets. (English) Zbl 1131.37049 Ergodic Theory Dyn. Syst. 27, No. 5, 1525-1539 (2007). Reviewer: Alois Klíč (Praha) MSC: 37F10 37F50 37B50 54H20 PDFBibTeX XMLCite \textit{R. L. Devaney}, Ergodic Theory Dyn. Syst. 27, No. 5, 1525--1539 (2007; Zbl 1131.37049) Full Text: DOI
Devaney, Robert L.; Marotta, Sebastian M. The McMullen domain: rings around the boundary. (English) Zbl 1109.37038 Trans. Am. Math. Soc. 359, No. 7, 3251-3273 (2007). MSC: 37F10 37F45 37F50 PDFBibTeX XMLCite \textit{R. L. Devaney} and \textit{S. M. Marotta}, Trans. Am. Math. Soc. 359, No. 7, 3251--3273 (2007; Zbl 1109.37038) Full Text: DOI
Devaney, Robert L.; Rocha, Mónica Moreno; Siegmund, Stefan Rational maps with generalized Sierpinski gasket Julia sets. (English) Zbl 1104.37032 Topology Appl. 154, No. 1, 11-27 (2007). MSC: 37F10 37B10 37B45 37F50 PDFBibTeX XMLCite \textit{R. L. Devaney} et al., Topology Appl. 154, No. 1, 11--27 (2007; Zbl 1104.37032) Full Text: DOI
Blanchard, Paul; Devaney, Robert L.; Look, Daniel M.; Moreno Rocha, Monica; Seal, Pradipta; Siegmund, Stefan; Uminsky, David Sierpinski carpets and gaskets as Julia sets of rational maps. (English) Zbl 1173.37046 Hjorth, Paul G. (ed.) et al., Dynamics on the Riemann sphere. A Bodil Branner Festschrift. Zürich: European Mathematical Society Publishing House (ISBN 3-03719-011-6/hbk). 97-119 (2006). Reviewer: Filippo Bracci (Roma) MSC: 37F50 37F10 PDFBibTeX XMLCite \textit{P. Blanchard} et al., in: Dynamics on the Riemann sphere. A Bodil Branner Festschrift. Zürich: European Mathematical Society Publishing House. 97--119 (2006; Zbl 1173.37046)
Devaney, Robert L.; Look, Daniel M. A criterion for Sierpiński curve Julia sets. (English) Zbl 1138.37027 Topol. Proc. 30, No. 1, 163-179 (2006). Reviewer: Christophe Dupont (Orsay) MSC: 37F50 37F10 54F15 37F45 PDFBibTeX XMLCite \textit{R. L. Devaney} and \textit{D. M. Look}, Topol. Proc. 30, No. 1, 163--179 (2006; Zbl 1138.37027)
Devaney, Robert L.; Holzer, Matt; Uminsky, David Blowup points and baby Mandelbrot sets for singularly perturbed rational maps. (English) Zbl 1207.37034 Devaney, Robert L. (ed.) et al., Complex dynamics. Twenty-five years after the appearance of the Mandelbrot set. Proceedings of an AMS-IMS-SIAM joint summer research conference, Snowbird, UT, USA, June 13–17, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3625-0/pbk). Contemporary Mathematics 396, 51-62 (2006). MSC: 37F45 37F10 37F20 PDFBibTeX XMLCite \textit{R. L. Devaney} et al., Contemp. Math. 396, 51--62 (2006; Zbl 1207.37034)
Devaney, Robert L. Baby Mandelbrot sets adorned with halos in families of rational maps. (English) Zbl 1207.37033 Devaney, Robert L. (ed.) et al., Complex dynamics. Twenty-five years after the appearance of the Mandelbrot set. Proceedings of an AMS-IMS-SIAM joint summer research conference, Snowbird, UT, USA, June 13–17, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3625-0/pbk). Contemporary Mathematics 396, 37-50 (2006). MSC: 37F45 37F10 PDFBibTeX XMLCite \textit{R. L. Devaney}, Contemp. Math. 396, 37--50 (2006; Zbl 1207.37033)
Devaney, Robert L.; Look, Daniel M.; Uminsky, David The escape trichotomy for singularly perturbed rational maps. (English) Zbl 1087.37043 Indiana Univ. Math. J. 54, No. 6, 1621-1634 (2005). MSC: 37F10 37F50 32H50 PDFBibTeX XMLCite \textit{R. L. Devaney} et al., Indiana Univ. Math. J. 54, No. 6, 1621--1634 (2005; Zbl 1087.37043) Full Text: DOI
Devaney, Robert L.; Look, Daniel M. Buried Sierpinski curve Julia sets. (English) Zbl 1106.37031 Discrete Contin. Dyn. Syst. 13, No. 4, 1035-1046 (2005). Reviewer: Dierk Schleicher (Bremen) MSC: 37F45 37F10 37F20 37F50 PDFBibTeX XMLCite \textit{R. L. Devaney} and \textit{D. M. Look}, Discrete Contin. Dyn. Syst. 13, No. 4, 1035--1046 (2005; Zbl 1106.37031) Full Text: DOI
Blanchard, Paul; Devaney, Robert L.; Look, Daniel M.; Seal, Pradipta; Shapiro, Yakov Sierpinski-curve Julia sets and singular perturbations of complex polynomials. (English) Zbl 1098.37043 Ergodic Theory Dyn. Syst. 25, No. 4, 1047-1055 (2005). MSC: 37F10 37F50 30D05 PDFBibTeX XMLCite \textit{P. Blanchard} et al., Ergodic Theory Dyn. Syst. 25, No. 4, 1047--1055 (2005; Zbl 1098.37043) Full Text: DOI
Devaney, Robert L. Structure of the McMullen domain in the parameter planes for rational maps. (English) Zbl 1093.37016 Fundam. Math. 185, No. 3, 267-285 (2005). MSC: 37F10 37F50 PDFBibTeX XMLCite \textit{R. L. Devaney}, Fundam. Math. 185, No. 3, 267--285 (2005; Zbl 1093.37016) Full Text: DOI
Devaney, Robert L.; Look, Daniel M. Symbolic dynamics for a Sierpinski curve Julia set. (English) Zbl 1074.37027 J. Difference Equ. Appl. 11, No. 7, 581-596 (2005). MSC: 37F10 37B10 37F50 30D05 PDFBibTeX XMLCite \textit{R. L. Devaney} and \textit{D. M. Look}, J. Difference Equ. Appl. 11, No. 7, 581--596 (2005; Zbl 1074.37027) Full Text: DOI
Devaney, R. L.; Josić, K.; Rocha, M. Moreno; Seal, P.; Shapiro, Y.; Frumosu, A. T. Playing catch-up with iterated exponentials. (English) Zbl 1187.37066 Am. Math. Mon. 111, No. 8, 704-709 (2004). MSC: 37F10 37N25 92D25 PDFBibTeX XMLCite \textit{R. L. Devaney} et al., Am. Math. Mon. 111, No. 8, 704--709 (2004; Zbl 1187.37066) Full Text: DOI
Devaney, Robert L. Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps. (English) Zbl 1122.37033 Qual. Theory Dyn. Syst. 5, No. 2, 337-359 (2004). MSC: 37F10 37F50 PDFBibTeX XMLCite \textit{R. L. Devaney}, Qual. Theory Dyn. Syst. 5, No. 2, 337--359 (2004; Zbl 1122.37033) Full Text: DOI
Devaney, Robert L. Topological bifurcations. (English) Zbl 1094.37025 Topol. Proc. 28, No. 1, 99-112 (2004). Reviewer: Manfred Denker (Göttingen) MSC: 37F45 37F10 37F50 PDFBibTeX XMLCite \textit{R. L. Devaney}, Topol. Proc. 28, No. 1, 99--112 (2004; Zbl 1094.37025)
Blanchard, Paul; Devaney, Robert L.; Keen, Linda Complex dynamics and symbolic dynamics. (English) Zbl 1073.37010 Williams, Susan G. (ed.), Symbolic dynamics and its applications. Lectures of the American Mathematical Society short course, San Diego, CA, USA, January 4–5, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3157-7). Proceedings of Symposia in Applied Mathematics 60; AMS Short Course Lecture Notes, 37-60 (2004). Reviewer: Mike Hurley (Cleveland) MSC: 37B10 37F10 37F50 PDFBibTeX XMLCite \textit{P. Blanchard} et al., Proc. Symp. Appl. Math. 60, 37--60 (2004; Zbl 1073.37010)
Devaney, Robert L. A survey of exponential dynamics. (English) Zbl 1062.37034 Aulbach, Bernd (ed.) et al., New progress in difference equations. Proceedings of the 6th international conference on difference equations, Augsburg, Germany July 30–August 3, 2001. Boca Raton, FL: CRC Press (ISBN 0-415-31675-8/hbk). 105-122 (2004). MSC: 37F10 37F50 39B12 PDFBibTeX XMLCite \textit{R. L. Devaney}, in: New progress in difference equations. Proceedings of the 6th international conference on difference equations, Augsburg, Germany July 30--August 3, 2001. Boca Raton, FL: CRC Press. 105--122 (2004; Zbl 1062.37034)
Devaney, Robert L.; Josić, Krešimir; Shapiro, Yakov Singular perturbations of quadratic maps. (English) Zbl 1099.37036 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 1, 161-169 (2004). MSC: 37F10 37F45 37F50 PDFBibTeX XMLCite \textit{R. L. Devaney} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 1, 161--169 (2004; Zbl 1099.37036) Full Text: DOI
Devaney, Robert L. Cantor and Sierpinski, Julia and Fatou: complex topology meets complex dynamics. (English) Zbl 1161.37328 Notices Am. Math. Soc. 51, No. 1, 9-15 (2004). MSC: 37F10 30D05 37F50 39B12 54H20 PDFBibTeX XMLCite \textit{R. L. Devaney}, Notices Am. Math. Soc. 51, No. 1, 9--15 (2004; Zbl 1161.37328) Full Text: Link
Devaney, Robert L. An introduction to chaotic dynamical systems. Reprint of the 2nd (1989) ed. (English) Zbl 1025.37001 Studies in Nonlinearity. Boulder, CO: Westview Press. xvi, 335 p. (2003). MSC: 37-01 37D45 PDFBibTeX XMLCite \textit{R. L. Devaney}, An introduction to chaotic dynamical systems. Reprint of the 2nd (1989) ed. Boulder, CO: Westview Press (2003; Zbl 1025.37001)
Devaney, R. L.; Moreno Rocha, M. Geometry of the antennas in the Mandelbrot set. (English) Zbl 1072.37506 Fractals 10, No. 1, 39-46 (2002). MSC: 37F45 37F10 PDFBibTeX XMLCite \textit{R. L. Devaney} and \textit{M. Moreno Rocha}, Fractals 10, No. 1, 39--46 (2002; Zbl 1072.37506) Full Text: DOI
Devaney, Robert L.; Moreno Rocha, Mónica A semilinear model for exponential dynamics and topology. (English) Zbl 1028.37013 Topol. Proc. 26, No. 1, 153-167 (2002). MSC: 37B45 37E30 37F10 54H20 PDFBibTeX XMLCite \textit{R. L. Devaney} and \textit{M. Moreno Rocha}, Topol. Proc. 26, No. 1, 153--167 (2002; Zbl 1028.37013)
Devaney, Robert L.; Fagella, Núria; Jarque, Xavier Hyperbolic components of the complex exponential family. (English) Zbl 1099.30011 Fundam. Math. 174, No. 3, 193-215 (2002). Reviewer: Lasse Rempe (Coventry) MSC: 30D05 37F10 PDFBibTeX XMLCite \textit{R. L. Devaney} et al., Fundam. Math. 174, No. 3, 193--215 (2002; Zbl 1099.30011) Full Text: DOI
Devaney, Robert L.; Jarque, Xavier Indecomposable continua in exponential dynamics. (English) Zbl 1062.37035 Conform. Geom. Dyn. 6, 1-12 (2002). MSC: 37F10 PDFBibTeX XMLCite \textit{R. L. Devaney} and \textit{X. Jarque}, Conform. Geom. Dyn. 6, 1--12 (2002; Zbl 1062.37035) Full Text: DOI
Bhattacharjee, Ranjit; Devaney, Robert L.; Deville, R. E. Lee; Josić, Krešimir; Moreno-Rocha, Monica Accessible points in the Julia sets of stable exponentials. (English) Zbl 1093.37015 Discrete Contin. Dyn. Syst., Ser. B 1, No. 3, 299-318 (2001). MSC: 37F10 30D05 30D20 37F20 PDFBibTeX XMLCite \textit{R. Bhattacharjee} et al., Discrete Contin. Dyn. Syst., Ser. B 1, No. 3, 299--318 (2001; Zbl 1093.37015) Full Text: DOI
Devaney, Robert L. \(Se^x\): dynamics, topology, and bifurcations of complex exponentials. (English) Zbl 0996.37057 Topology Appl. 110, No. 2, 133-161 (2001). Reviewer: Dierk Schleicher (München) MSC: 37F10 30D05 37F35 54H20 37F50 PDFBibTeX XMLCite \textit{R. L. Devaney}, Topology Appl. 110, No. 2, 133--161 (2001; Zbl 0996.37057) Full Text: DOI
Bhattacharjee, Ranjit; Devaney, Robert L. Tying hairs for structurally stable exponentials. (English) Zbl 0992.37040 Ergodic Theory Dyn. Syst. 20, No. 6, 1603-1617 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37F50 37F10 PDFBibTeX XMLCite \textit{R. Bhattacharjee} and \textit{R. L. Devaney}, Ergodic Theory Dyn. Syst. 20, No. 6, 1603--1617 (2000; Zbl 0992.37040) Full Text: DOI
Bodelón, Clara; Devaney, Robert L.; Hayes, Michael; Roberts, Gareth; Goldberg, Lisa R.; Hubbard, John H. Dynamical convergence of polynomials to the exponential. (English) Zbl 0976.37022 J. Difference Equ. Appl. 6, No. 3, 275-307 (2000). Reviewer: Grzegorz Swiatek (University Park) MSC: 37F10 37F50 30D05 PDFBibTeX XMLCite \textit{C. Bodelón} et al., J. Difference Equ. Appl. 6, No. 3, 275--307 (2000; Zbl 0976.37022) Full Text: DOI
Bodelón, Clara; Devaney, Robert L.; Hayes, Michael; Roberts, Gareth; Goldberg, Lisa R.; Hubbard, John H. Hairs for the complex exponential family. (English) Zbl 1192.37061 Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, No. 8, 1517-1534 (1999). MSC: 37F10 30D05 37F50 PDFBibTeX XMLCite \textit{C. Bodelón} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, No. 8, 1517--1534 (1999; Zbl 1192.37061) Full Text: DOI
Devaney, Robert L. Transition to chaos. The orbit diagram and the Mandelbrot set. Videocassette (NTSC; 1/2 inch; VHS) (65 min.). (English) Zbl 0734.58004 New York: Science Television. $ 54.95 (1990). Reviewer: Bernd Wegner (Berlin) MSC: 58-01 37B99 26A18 PDFBibTeX XML
Devaney, Robert L. Transition to chaos. The orbit diagram and the Mandelbrot set. Videotape PAL (65 min. VHS). (English) Zbl 0779.58006 New York, NY: Science Television (ISBN 1-878310-08-9). Video. (1990). MSC: 58-04 37D45 58-01 37B99 26A18 PDFBibTeX XMLCite \textit{R. L. Devaney}, Transition to chaos. The orbit diagram and the Mandelbrot set. Videotape PAL (65 min. VHS). New York, NY: Science Television (1990; Zbl 0779.58006)
Devaney, Robert Chaos, fractals and dynamics. Computer experiments in mathematics. Videocassette (NTSC/PAL u. SECAM; 60 min. VHS; sd., col.). (English) Zbl 0776.58004 New York: Science Television. Providence, RI: American Mathematical Society/distributor, (1989). MSC: 58-04 37D45 58-01 28A80 30D05 37B99 37C75 PDFBibTeX XMLCite \textit{R. Devaney}, Chaos, fractals and dynamics. Computer experiments in mathematics. Videocassette (NTSC/PAL u. SECAM; 60 min. VHS; sd., col.). New York: Science Television; Providence, RI: American Mathematical Society/distributor (1989; Zbl 0776.58004)
Devaney, Robert L. An introduction to chaotic dynamical systems. 2nd ed. (English) Zbl 0695.58002 Redwood City, CA etc.: Addison-Wesley Publishing Company, Inc. xvi, 336 p. (1989). MSC: 37-01 37Dxx 37D45 37G99 PDFBibTeX XMLCite \textit{R. L. Devaney}, An introduction to chaotic dynamical systems. 2nd ed. Redwood City, CA etc.: Addison-Wesley Publishing Company, Inc. (1989; Zbl 0695.58002)
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)
Devaney, Robert L. Chaotic bursts in nonlinear dynamical systems. (English) Zbl 1226.37030 Science 235, No. 4786, 342-345 (1987). MSC: 37G15 37M20 37F45 37F10 37D45 PDFBibTeX XMLCite \textit{R. L. Devaney}, Science 235, No. 4786, 342--345 (1987; Zbl 1226.37030) Full Text: DOI
Devaney, Robert L. An introduction to chaotic dynamical systems. (English) Zbl 0632.58005 Menlo Park, California, etc.: The Benjamin/Cummings Publishing Co., Inc. (Distr. by Addison-Wesley, Amsterdam). XIV, 320 p. (1986). Reviewer: E.D.Belokolos MSC: 37-01 37Dxx 37D45 37G99 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