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

as indicated by ISI Web of SCIENCE

Cumulative number 

of Citations                         Cited paper

as of 2012

 

3782    E. Ott, C. Grebogi and J. A. Yorke,

            Controlling chaos,

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

 

1437    T. Y. Li and J. A. Yorke,

            Period three implies chaos,

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

 

1062   T. Sauer, J. A. Yorke and M. Casdagli,

            Embedology,

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

 

949      C. Grebogi, E. Ott and J. A. Yorke,
Crises, Sudden changes in chaotic attractors, and transient chaos,

            Physica 7D (1983), 181-200.

 

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

            The dimension of chaotic attractors,

            Physica 7D (1983), 153-180.

 

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

            Using small perturbations to control chaos,

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

 

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

            Chaotic attractors in crisis,

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

 

541      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, 450, 8 Nov 2007.

 

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

 

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

            Riddled Basins,

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

 

524(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.

      #10

 

413      A. Lasota and J. A. Yorke,

            On the existence of invariant measures for piecewise monotonic transformations,

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

 

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

            Fractal basin boundaries,

            Physica 17D (1985), 125-153.

 

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

            Critical exponents for crisis induced intermittency,

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

 

 

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

            Strange attractors that are not chaotic,

            Physica 13D (1984), 261-268.

 

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

            Using chaos to direct trajectories to targets,

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

 

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

            Dynamics and control of the transmission of gonorrhea,

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

 

241      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.

 

214      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.

 

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

            Final state sensitivity: An obstruction to predictability,

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

 

207      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.

      #20

 

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

            Critical exponent of chaotic transients in nonlinear dynamical systems,

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

 

192      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.

 

172      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.

 

172      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.

 

163      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.

 

161      E. Ott, E., B. R. Hunt, I. Szunyogh, A. V. Zimin, E. J. Kostelich, M. Corazza, E. Kalnay, D. J. Patil, J. A. Yorke,

A local ensemble Kalman Filter for atmospheric data assimilation,

Tellus 56A (2004), 415-428.

 

160     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

 

159      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.

 

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

            Riddling bifurcations in chaotic dynamical systems,

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

 

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

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

            Science 238 (1987), 632-638.

      #30

 

145      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.

 

142     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.

 

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

            Controlling chaos in high dimensional systems,

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

 

137      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.

 

131      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.

 

127      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. 

 

127      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.

 

123      E. Kostelich and J. A. Yorke,

            Noise reduction in Dynamical Systems,

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

 

121      T. Y. Li and J. A. Yorke,

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

 

117      H. E. Nusse and J. A. Yorke,

            A procedure for finding numerical trajectories on chaotic saddles,

            Physica D 36 (1989), 137-156.

      #40

 

116      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.

 

115      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.

 

114      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.

 

113      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.

 

111      H. E. Nusse and J. A. Yorke,

            Border-Collision bifurcations for piecewise-smooth one-dimensional maps,

            International J. of Bifurcation and Chaos 5 (1995), 189-207.

 

109      E. Kostelich and J. A. Yorke,

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

            Physica D 41 (1990), 183-196.

 

105      B.R. Hunt, E. Ott and J. A. Yorke,

Differentiable generalized synchronization of chaos,

Phys. Rev. Lett. E. (1997) 55, # 4, pp. 4029-4034.

 

105      J. L. Kaplan and J.A. Yorke,

            Ordinary differential equations which yield periodic solutions of differential difference equations,

            J Math. Analysis & Applications 48 (1974), 317-324.

 

104      J. A. Yorke,

Asymptotic stability for one-dimensional differential delay-equations,

J. Differential Equations 7 (1970), 189-202.

 

104      C. Grebogi, E. Ott and J. A. Yorke, Metamorphoses of basin boundaries in nonlinear dynamical systems,

            Phys. Rev. Lett. 56 (1986), 1011-1014.

      #50

101      S. Banerjee, J. A. Yorke and C. Grebogi,

Robust chaos,

Phys. Rev. Lett. (1998), 80, pp. 3049-3052.

DOI: 10.1103/PhysRevLett.80.3049

  

101      G. Pianigiani and J.A. Yorke, Expanding maps on sets which are almost invariant - decay and chaos,

            Transactions of the Amer. Math. Soc. 252 (1979) 351-366.

            DOI: 10.2307/1998093

 

100      E. J. Kostelich, C. Grebogi, E. Ott and J. A. Yorke, Higher dimensional targeting, Phys. Rev. E 47 (1993) 305-310.

 

99        S. M. Hammel, J. A. Yorke and C. Grebogi, Numerical orbits of chaotic processes represent true orbits, Bull. Amer. Math. Soc. 19 (1988), 465-469.

 

 

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)

 

1418(GS)        K. T. Alligood, T. Sauer and J. A. Yorke,

            Chaos: An Introduction to Dynamical Systems,

            Springer-Verlag, New York (1996&1997).

 

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

            Gonorrhea Transmission Dynamics and Control,

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

 

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

            Coping with Chaos,

            John Wiley & Sons, Inc. 1994

 

324(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).

 

 

            A paper that should be higher up:

 

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

            Cascades of period doubling bifurcations: A prerequisite for horseshoes,

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