Saiki, Yoshitaka; Takahasi, Hiroki; Yorke, James A. Hausdorff dimension of Cantor intersections and robust heterodimensional cycles for heterochaos horseshoe maps. (English) Zbl 1525.37025 SIAM J. Appl. Dyn. Syst. 22, No. 3, 1852-1876 (2023). MSC: 37C29 37C05 37C25 37C45 37G25 PDFBibTeX XMLCite \textit{Y. Saiki} et al., SIAM J. Appl. Dyn. Syst. 22, No. 3, 1852--1876 (2023; Zbl 1525.37025) Full Text: DOI arXiv
Saiki, Yoshitaka; Takahasi, Hiroki; Yorke, James A. Piecewise linear maps with heterogeneous chaos. (English) Zbl 1476.37038 Nonlinearity 34, No. 8, 5744-5761 (2021). Reviewer: Nicolae-Adrian Secelean (Sibiu) MSC: 37C35 37A25 37C27 37C75 37E05 37E30 PDFBibTeX XMLCite \textit{Y. Saiki} et al., Nonlinearity 34, No. 8, 5744--5761 (2021; Zbl 1476.37038) Full Text: DOI arXiv
Das, Suddhasattwa; Yorke, James A. Crinkled changes of variables for maps on a circle. (English) Zbl 1517.37047 Nonlinear Dyn. 102, No. 2, 645-652 (2020). MSC: 37E10 37C27 PDFBibTeX XMLCite \textit{S. Das} and \textit{J. A. Yorke}, Nonlinear Dyn. 102, No. 2, 645--652 (2020; Zbl 1517.37047) Full Text: DOI
Saiki, Yoshitaka; Yorke, James A. Quasi-periodic orbits in Siegel disks/balls and the Babylonian problem. (English) Zbl 1412.37052 Regul. Chaotic Dyn. 23, No. 6, 735-750 (2018). MSC: 37F50 37C55 37A30 PDFBibTeX XMLCite \textit{Y. Saiki} and \textit{J. A. Yorke}, Regul. Chaotic Dyn. 23, No. 6, 735--750 (2018; Zbl 1412.37052) Full Text: DOI arXiv
Sander, Evelyn; Yorke, James A. A period-doubling cascade precedes chaos for planar maps. (English) Zbl 1323.37021 Chaos 23, No. 3, 033113, 8 p. (2013). MSC: 37D45 70K55 37G15 PDFBibTeX XMLCite \textit{E. Sander} and \textit{J. A. Yorke}, Chaos 23, No. 3, 033113, 8 p. (2013; Zbl 1323.37021) Full Text: DOI Link
Joglekar, Madhura R.; Sander, Evelyn; Yorke, James A. Fixed points indices and period-doubling cascades. (English) Zbl 1205.37064 J. Fixed Point Theory Appl. 8, No. 1, 151-176 (2010). MSC: 37G15 37D45 47H10 57M99 PDFBibTeX XMLCite \textit{M. R. Joglekar} et al., J. Fixed Point Theory Appl. 8, No. 1, 151--176 (2010; Zbl 1205.37064) Full Text: DOI
Nusse, Helena E.; Yorke, James A. Characterizing the basins with the most entangled boundaries. (English) Zbl 1058.37020 Ergodic Theory Dyn. Syst. 23, No. 3, 895-906 (2003). Reviewer: Eugene Ershov (St. Petersburg) MSC: 37C70 37D05 37E30 PDFBibTeX XMLCite \textit{H. E. Nusse} and \textit{J. A. Yorke}, Ergodic Theory Dyn. Syst. 23, No. 3, 895--906 (2003; Zbl 1058.37020) Full Text: DOI
Alligood, K.; Sander, E.; Yorke, J. Explosions: Global bifurcations at heteroclinic tangencies. (English) Zbl 1018.37031 Ergodic Theory Dyn. Syst. 22, No. 4, 953-972 (2002). Reviewer: Govindan Rangarajan (Bangalore) MSC: 37G25 37C29 37E30 37G15 37G30 PDFBibTeX XMLCite \textit{K. Alligood} et al., Ergodic Theory Dyn. Syst. 22, No. 4, 953--972 (2002; Zbl 1018.37031) Full Text: DOI
Miller, J. R.; Yorke, J. A. Finding all periodic orbits of maps using Newton methods: Sizes of basins. (English) Zbl 0939.37008 Physica D 135, No. 3-4, 195-211 (2000). Reviewer: E.Ershov (St.Peterburg) MSC: 37C05 37C25 37M05 49M15 34A34 37E15 37C75 PDFBibTeX XMLCite \textit{J. R. Miller} and \textit{J. A. Yorke}, Physica D 135, No. 3--4, 195--211 (2000; Zbl 0939.37008) Full Text: DOI
Kan, Ittai; Koçak, Hüseyin; Yorke, James A. Antimonotonicity: Concurrent creation and annihilation of periodic orbits. (English) Zbl 0765.58020 Ann. Math. (2) 136, No. 2, 219-252 (1992). Reviewer: Ding Tongren (Beijing) MSC: 37G99 34C23 PDFBibTeX XMLCite \textit{I. Kan} et al., Ann. Math. (2) 136, No. 2, 219--252 (1992; Zbl 0765.58020) Full Text: DOI Link
Kan, I.; Yorke, J. A. Antimonotonicity: Concurrent creation and annihilation of periodic orbits. (English) Zbl 0713.58026 Bull. Am. Math. Soc., New Ser. 23, No. 2, 469-476 (1990). Reviewer: St.Schecter MSC: 37A99 PDFBibTeX XMLCite \textit{I. Kan} and \textit{J. A. Yorke}, Bull. Am. Math. Soc., New Ser. 23, No. 2, 469--476 (1990; Zbl 0713.58026) Full Text: DOI
Battelino, Peter M.; Grebogi, Celso; Ott, Edward; Yorke, James A.; Yorke, Ellen D. Multiple coexisting attractors, basin boundaries and basic sets. (English) Zbl 0668.58035 Physica D 32, No. 2, 296-305 (1988). MSC: 37D45 37C70 PDFBibTeX XMLCite \textit{P. M. Battelino} et al., Physica D 32, No. 2, 296--305 (1988; Zbl 0668.58035) Full Text: DOI
Hammel, Stephen M.; Yorke, James A.; Grebogi, Celso Do numerical orbits of chaotic dynamical processes represent true orbits? (English) Zbl 0639.65037 J. Complexity 3, 136-145 (1987). Reviewer: N.A.Warsi MSC: 65K10 93C15 37D45 PDFBibTeX XMLCite \textit{S. M. Hammel} et al., J. Complexity 3, 136--145 (1987; Zbl 0639.65037) Full Text: DOI
Grebogi, Celso; Ott, Edward; Yorke, James A. Super persistent chaotic transients. (English) Zbl 0593.58021 Ergodic Theory Dyn. Syst. 5, 341-372 (1985). Reviewer: D.Hurley MSC: 37C70 PDFBibTeX XMLCite \textit{C. Grebogi} et al., Ergodic Theory Dyn. Syst. 5, 341--372 (1985; Zbl 0593.58021) Full Text: DOI
Alligood, Kathleen T.; Yorke, James A. Families of periodic orbits: Virtual periods and global continuability. (English) Zbl 0576.34038 J. Differ. Equations 55, 59-71 (1984). Reviewer: F.Neumann MSC: 34C25 PDFBibTeX XMLCite \textit{K. T. Alligood} and \textit{J. A. Yorke}, J. Differ. Equations 55, 59--71 (1984; Zbl 0576.34038) Full Text: DOI
Alligood, Kathleen T.; Mallet-Paret, J.; Yorke, J. A. An index for the global continuation of relatively isolated sets of periodic orbits. (English) Zbl 0542.58020 Geometric dynamics, Proc. int. Symp., Rio de Janeiro/Brasil 1981, Lect. Notes Math. 1007, 1-21 (1983). Reviewer: G.Ikegami MSC: 37G99 PDFBibTeX XML
Alexander, J. C.; Yorke, James A. On the continuability of periodic orbits of parametrized three- dimensional differential equations. (English) Zbl 0516.34040 J. Differ. Equations 49, 171-184 (1983). MSC: 34C25 34A12 34D30 55M99 PDFBibTeX XMLCite \textit{J. C. Alexander} and \textit{J. A. Yorke}, J. Differ. Equations 49, 171--184 (1983; Zbl 0516.34040) Full Text: DOI
Mallet-Paret, John; Yorke, James A. Snakes: oriented families of periodic orbits, their sources, sinks, and continuation. (English) Zbl 0487.34038 J. Differ. Equations 43, 419-450 (1982). MSC: 34C25 PDFBibTeX XMLCite \textit{J. Mallet-Paret} and \textit{J. A. Yorke}, J. Differ. Equations 43, 419--450 (1982; Zbl 0487.34038) Full Text: DOI
Alligood, Kathleen T.; Mallet-Paret, John; Yorke, James A. Families of periodic orbits: local continuability does not imply global continuability. (English) Zbl 0487.58022 J. Differ. Geom. 16, 483-492 (1981). MSC: 37G99 34C25 55M25 PDFBibTeX XMLCite \textit{K. T. Alligood} et al., J. Differ. Geom. 16, 483--492 (1981; Zbl 0487.58022) Full Text: DOI
Mallet-Paret, John; Yorke, James A. Two types of Hopf bifurcation points: Sources and sinks of families of periodic orbits. (English) Zbl 0485.58014 Nonlinear dynamics, int. Conf., New York 1979, Ann. N.Y. Acad. Sci. 357, 300-304 (1980). MSC: 37G99 34C25 PDFBibTeX XML
Kaplan, James L.; Yorke, James A. The onset of chaos in a fluid flow model of Lorenz. (English) Zbl 0445.58017 Bifurcation theory and applications in scientific disciplines, Pap. Conf., New York 1977, Ann. New York Acad. Sci., Vol. 316, 400-407 (1979). MSC: 37D45 37C70 37G99 58-04 76-04 76F99 PDFBibTeX XML