J. A. Yorke’s most frequently cited
papers,
as indicated by ISI Web of SCIENCE, through
Feb 2002 & through July 2006
Cumulative number
of Citations
Cited paper
as of 2007
2091
E.
Ott, C. Grebogi and J. A. Yorke, Controlling chaos, Phys. Rev. Lett. 64
(1990), 1196-1199.
904
T.
Y. Li and J. A. Yorke, Period three implies chaos, Amer. Math. Monthly 82
(1975), 985-992.
774
C.
Grebogi,
716
J.
D. Farmer, E. Ott, and J. A. Yorke, The dimension of chaotic attractors,
Physica 7D (1983), 153-180.
673
T.
Sauer, J. A. Yorke and M. Casdagli, Embedology, J. Stat. Phys., 65
(1991), 579-616.
452 C.
Grebogi, E. Ott and J. A. Yorke, Chaotic attractors in crisis, Phys. Rev. Lett.
48 (1982), 1507-1510.
443
T.
Shinbrot, C. Grebogi, E. Ott and J. A. Yorke, Using small perturbations to
control chaos, Nature, 363 (1993), pp. 411-417.
333
C.
Grebogi, E. Ott, F. Romeiras and J. A. Yorke, Critical exponents for crisis
induced intermittency, Phys. Rev. A 36 (1987), 5365-5380.
326
A.
Lasota and J. A. Yorke, On the existence of invariant
measures for piecewise monotonic transformations, Trans. Amer. Math. Soc. 186
(1973), 481-488.
322
S.
W. McDonald, C. Grebogi, E. Ott and J. A. Yorke, Fractal basin boundaries, in
Physica 17D (1985), 125-153.
249 C.
Grebogi, E. Ott, S. Pelikan and J. A. Yorke, Strange attractors that are not
chaotic, Physica 13D (1984), 261-268.
217
T.
Shinbrot, E. Ott, C. Grebogi and J. A. Yorke, Using chaos to direct
trajectories to targets, Phys. Rev. Lett. 65 (1990), 3215-3218.
198
J.
A. Yorke, H. W. Hethcote and A. Nold, Dynamics and control of the transmission
of gonorrhea, Sexually Transmitted Diseases 5 (1978), 51-56.
196
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.
184
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.
180
C.
Grebogi, S. W. McDonald, E. Ott and J. A. Yorke, Final state sensitivity: An obstruction
to predictability, Phys. Letters 99A (1983), 415-418.
170 C.
Grebogi,
153
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.
150
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.
143
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.
135
C.
Grebogi, E. Ott and J. A. Yorke, Chaos, strange attractors, and fractal basin
boundaries in nonlinear dynamics, Science 238 (1987), 632-638.
133 Y.
Lai, C. Grebogi, J. A. Yorke and S. Venkataramani, Riddling bifurcations in
chaotic dynamical systems, Phys. Rev. Lett., 77 (1996), pp. 55-58.
131 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.
128
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.
126
E.
Ott, J. Alexander, I. Kan, J. Sommerer and J. A. Yorke, Transition to chaotic
attractors with riddled basins, Physica D., Vol. 76 (1994), pp. 384-410.
The primary reference to “riddled
basins” in not listed by ISI perhaps due to the journal but it seems to be
referenced much more than the above paper.
??? J. A. Alexander, J. A. Yorke, Z-P. You and
125
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.
122
D. Auerbach, C. Grebogi, E. Ott and J. A. Yorke,
Controlling chaos in high dimensional systems, Phys. Rev. Lett. 69
(1992), 3479-3482.
122
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
109 T. Y. Li and J. A. Yorke, Ergodic
transformations from an interval into itself, Trans. Amer. Math. Soc. 235
(1978), 183-192.
107 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. This paper is
reprinted in Russian in a book edited by Sinai and Kolmogorov on strange
attractors.
105 E.
Kostelich and J. A. Yorke, Noise reduction in Dynamical Systems, Phys. Rev. A.
38 (1988), 1649-1652.
104 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.
103 H.
E. Nusse and J. A. Yorke, A procedure for finding numerical trajectories on
chaotic saddles, Physica D 36 (1989), 137-156.
101
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.
100
E. Kostelich and J. A. Yorke,
Noise reduction: Finding the simplest dynamical system consistent with the
data, Physica D 41 (1990), 183-196.
ALMOST 100
98 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.
97 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.
96 M-Z
Ding, C. Grebogi, E. Ott, T. Sauer and J. A. Yorke, Plateau onset for
correlation dimension: When does it occur?, Phys. Rev. Lett. 70 (1993), pp.
3872-3873.
95 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.
90 C. Grebogi, E. Ott and J. A. Yorke,
Metamorphoses of basin boundaries in nonlinear dynamical systems, Phys. Rev.
Lett. 56 (1986), 1011-1014.
90 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)
250 E.
Ott, T. Sauer and J. A. Yorke,
Coping with Chaos, 1994 John Wiley &
Sons, Inc. 1994
551 K.
Alligood, T. Sauer and J. A. Yorke,
Chaos: An Introduction to Dynamical Systems,
171 H.
E. Nusse and J. A. Yorke,
Dynamics: Numerical Explorations,
Applied Mathematical Sciences 101,
Second Edition 1997 (First Edition 1994). Book includes a
computer disk with the program "Dynamics".
Papers that should be
higher up
74 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.
45 J. A. Yorke and K. T. Alligood Cascades
of period doubling bifurcations: A prerequisite for horseshoes,
Bull.
Amer. Math. Soc. 9 (1983), 319-322.