J. A. Yorke’s most frequently cited papers,

as indicated by ISI Web of SCIENCE

Cumulative number 

of Citations                         Cited paper

as of 2009

 

2787    E. Ott, C. Grebogi and J. A. Yorke,

            Controlling chaos,

            Phys. Rev. Lett. 64 (1990), 1196-1199.

 

1066   T. Y. Li and J. A. Yorke,

            Period three implies chaos,

            Amer. Math. Monthly 82 (1975), 985-992.

 

882      T. Sauer, J. A. Yorke and M. Casdagli,

            Embedology,

            J. Stat. Phys., 65 (1991), 579-616.

 

843      C. Grebogi, E. Ott and J. A. Yorke, Crises,

            Sudden changes in chaotic attractors, and transient chaos,

            Physica 7D (1983), 181-200.

 

760      J. D. Farmer, E. Ott, and J. A. Yorke,

            The dimension of chaotic attractors,

            Physica 7D (1983), 153-180.

 

505      T. Shinbrot, C. Grebogi, E. Ott and J. A. Yorke,

            Using small perturbations to control chaos,

            Nature, 363 (1993), pp. 411-417.

 

490      C. Grebogi, E. Ott and J. A. Yorke,

            Chaotic attractors in crisis,

            Phys. Rev. Lett. 48 (1982), 1507-1510.

 

360      C. Grebogi, E. Ott, F. Romeiras and J. A. Yorke,

            Critical exponents for crisis induced intermittency,

            Phys. Rev. A 36 (1987), 5365-5380.

 

360      A. Lasota and J. A. Yorke,

            On the existence of invariant measures for piecewise monotonic transformations,

            Trans. Amer. Math. Soc. 186 (1973), 481-488.

 

353      S. W. McDonald, C. Grebogi, E. Ott and J. A. Yorke,

            Fractal basin boundaries,

            Physica 17D (1985), 125-153.

 

 

286      C. Grebogi, E. Ott, S. Pelikan and J. A. Yorke,

            Strange attractors that are not chaotic,

            Physica 13D (1984), 261-268.

 

Citation Index does not list the following 2 papers so the number of citations below is according to Google Scholar (GS)

 

278(GS) J. L. Kaplan and J. A. Yorke,

            Chaotic behavior of multidimensional difference equations, in Functional Differential Equations and Approximation of Fixed Points, H. O. Peitgen and H. O. Walther, eds., Springer Lecture Notes in Math # 730 (1979), 204-227.

  

269(GS) J. A. Alexander, J. A. Yorke, Z-P. You and I. Kan,

            Riddled Basins, Int. J. Bifurcation & Chaos 2 (1992), 795-813.

 

 

253      T. Shinbrot, E. Ott, C. Grebogi and J. A. Yorke,

            Using chaos to direct trajectories to targets,

            Phys. Rev. Lett. 65 (1990), 3215-3218.

 

217      C. Grebogi, E. Ott and J. A. Yorke,

            Unstable periodic orbits and the dimensions of multifractal chaotic attractors,

            Phys. Rev. A 37 (1988), 1711-1724.

 

218      J. A. Yorke, H. W. Hethcote and A. Nold,

            Dynamics and control of the transmission of gonorrhea,

            Sexually Transmitted Diseases 5 (1978), 51-56.

 

195      C. Grebogi, S. W. McDonald, E. Ott and J. A. Yorke,

            Final state sensitivity: An obstruction to predictability,

            Phys. Letters 99A (1983), 415-418.

 

195      C. Grebogi, E. Ott and J. A. Yorke,

            Fractal basin boundaries, long-lived chaotic transients, and unstable-unstable pair bifurcation,

            Phys. Rev. Lett. 50 (1983), 935-938.

 

184      Drosophila 12-Genome Consortium, 450 authors including A. Zimin and J.A. Yorke,

            Evolution of genes and genomes on the Drosophila phylogeny,

            Nature 203-218, Vol 450, 8 Nov 2007.

 

179      C. Grebogi, E. Ott and J. A. Yorke,

            Critical exponent of chaotic transients in nonlinear dynamical systems,

            Phys. Rev. Lett. 57 (1986), 1284-1287.

 

171      P. Frederickson, J. L. Kaplan, E. D. Yorke and J. A. Yorke,

            The Lyapunov dimension of strange attractors,

            J. Differential Equations 49 (1983), 185-207.

 

 

 

158      Grebogi, E. Ott and J. A. Yorke,

            Basin boundary metamorphoses: Changes in accessible boundary orbits,

            Physica 24D (1987), 243-262, and Nucl. Phys. B. (Suppl.) 2 (1987), 281-300.

 

155      H. E. Nusse and J. A. Yorke,

            Border-collision bifurcations including period two to period three bifurcation for piecewise smooth systems,

            Physica D. 57 (1992), 39-57.

 

155      J. A. Yorke and E. D. Yorke,

            Metastable chaos: The transition to sustained chaotic oscillations in a model of Lorenz,

            J. Stat. Phys. 21 (1979), 263-277.

 

150      Y. Lai, C. Grebogi, J. A. Yorke and S. Venkataramani,

            Riddling bifurcations in chaotic dynamical systems,

            Phys. Rev. Lett., 77 (1996), pp. 55-58.

 

146      C. Grebogi, S. M. Hammel, J. A. Yorke and T. Sauer,

            Shadowing of physical trajectories in chaotic dynamics: Containment and refinement,

            Phys. Rev. Lett. 65 (1990), 1527-1530.

 

146      S. N. Chow, J. Mallet-Paret and J. A. Yorke,

            Finding zeroes of maps: Homotopy methods that are constructive with probability one,

            Math. of Comp. 32 (1978), 887-899.

 

143      C. Grebogi, E. Ott and J. A. Yorke,

            Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics,

            Science 238 (1987), 632-638.

 

138      H. E. Nusse, E. Ott and J. A. Yorke,

            Border-Collision Bifurcations: an explanation for observed bifurcation phenomena,

            Phys. Rev. E, 49 (1994), 1073-1076.

 

136      E. Ott, J. Alexander, I. Kan, J. Sommerer and J. A. Yorke,

            The transition to chaotic attractors with riddled basins,

            Physica D., Vol. 76 (1994), pp. 384-410.

 

133      J. A. Yorke, N. Nathanson, G. Pianigiani and J. Martin,

            Seasonality and the requirements for perpetuation and eradication of viruses in populations,

            Amer. J. Epidemiology 109 (1979), 103-123.

 

 

134     W. London, M.D. and J. A. Yorke,

            Recurrent outbreaks of measles, chicken pox, and mumps, I. Seasonal variation in contact rates,

            Amer. J. Epidemiology 98 (1973), 453-468

 

131      D. Auerbach, C. Grebogi, E. Ott and J. A. Yorke,

            Controlling chaos in high dimensional systems,

            Phys. Rev. Lett. 69 (1992), 3479-3482.

 

117      T. Y. Li and J. A. Yorke,

            Ergodic transformations from an interval into itself, Trans. Amer. Math. Soc. 235 (1978), 183-192.

 

117      J. L. Kaplan and J. A. Yorke,

            Preturbulence: A regime observed in a fluid flow model of Lorenz,

            Comm. Math. Phys. 67 (1979), 93-108.

 

117      E. Kostelich and J. A. Yorke,

            Noise reduction in Dynamical Systems,

            Phys. Rev. A. 38 (1988), 1649-1652.

 

115      H. E. Nusse and J. A. Yorke,

            A procedure for finding numerical trajectories on chaotic saddles,

            Physica D 36 (1989), 137-156.

 

113      G.-H. Yuan, S. Banerjee, E. Ott and J. A. Yorke,

            Border-collision bifurcations in the Buck Converter,

            IEEE Trans. Circuits and Sys.-I: Fund. (1998), Vol. 45, #7, pp. 707-716.

 

112      T. Shinbrot, W. Ditto, C. Grebogi, E. Ott, M. Spano and J. A. Yorke,

            Using the sensitive dependence of chaos (the Butterfly Effect) to direct orbits to targets in an experimental chaotic system,

            Phys. Rev. Lett. 68 (1992), 2863-2866.

 

110      E. Ott, J. C. Sommerer, J. Alexander, I. Kan and J. A. Yorke,

            Scaling behavior of chaotic systems with riddled basins,

            Phys. Rev. Lett., 71 (1993), 4134-4137.

 

108      E. Kostelich and J. A. Yorke,

            Noise reduction: Finding the simplest dynamical system consistent with the data,

            Physica D 41 (1990), 183-196.

 

 

108      S. P. Dawson, C. Grebogi, T. Sauer and J. A. Yorke,

            Obstructions to shadowing when a Lyapunov exponent fluctuates about zero,

            Phys. Rev. Lett., 73, (1994), pp. 1927-1930.

 

106      M. Ding, C. Grebogi, E. Ott, T. Sauer and J. A. Yorke,

            Estimating correlation dimension from a time series: when does plateau onset occur?,

            Physica D, 69 (1993), 404-424. 

 

Book Citations according to Scholar.Google.com

            (generally S.G.com lists fewer citations than Citations Index, but in some cases S.G.com is all that is available)

 

611(GS)          K. T. Alligood, T. Sauer and J. A. Yorke,

            Chaos: An Introduction to Dynamical Systems,

            Springer-Verlag, New York (1997).

 

375(GS)          H. W. Hethcote and J. A. Yorke,

            Gonorrhea Transmission Dynamics and Control,

            Springer-Verlag Lecture Notes in Biomathematics #56, 1984.

 

300(GS)          E. Ott, T. Sauer and J. A. Yorke,

            Coping with Chaos,

            John Wiley & Sons, Inc. 1994

 

231(GS)          H. E. Nusse and J. A. Yorke,           

            Dynamics: Numerical Explorations,

            Applied Mathematical Sciences 101, Springer-Verlag, New York, Second Edition 1997 (First Edition 1994).

 

 

            Papers that should be higher up

 

            96        B.R Hunt, T. Sauer and J. A. Yorke,

            Prevalence: a translation-invariant "almost every" on infinite dimensional spaces,

            Bull. Amer. Math. Soc. 27 (1992), 217-238.

 

            46        J. A. Yorke and K. T. Alligood,

            Cascades of period doubling bifurcations: A prerequisite for horseshoes,

            Bull. Amer. Math. Soc. 9 (1983), 319-322.