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,
Crises, Sudden changes in chaotic attractors, and transient chaos,
Physica 7D (1983), 181-200.
807
J.
D. Farmer,
The dimension of chaotic attractors,
Physica 7D (1983), 153-180.
569
T.
Shinbrot, C. Grebogi,
Using small perturbations to control
chaos,
Nature, 363 (1993), pp.
411-417.
553
C.
Grebogi,
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
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,
Fractal basin boundaries,
Physica 17D (1985), 125-153.
396
C.
Grebogi,
Critical exponents for crisis
induced intermittency,
Phys. Rev. A 36 (1987),
5365-5380.
340 C. Grebogi,
Strange
attractors that are not chaotic,
Physica 13D
(1984), 261-268.
280
T.
Shinbrot,
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,
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,
Final state sensitivity: An
obstruction to predictability,
Phys. Letters 99A (1983),
415-418.
207
C.
Grebogi,
Fractal basin boundaries, long-lived
chaotic transients, and unstable-unstable pair bifurcation,
Phys. Rev. Lett. 50 (1983),
935-938.
#20
195
C.
Grebogi,
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.
Recurrent outbreaks of measles,
chicken pox, and mumps,
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,
Chaos, strange attractors, and
fractal basin boundaries in nonlinear dynamics,
Science 238 (1987), 632-638.
#30
145
E.
Ott, J. Alexander,
The transition to chaotic attractors
with riddled basins,
Physica D., Vol. 76 (1994),
pp. 384-410.
142
H. E. Nusse,
Border-Collision
Bifurcations: an explanation for observed bifurcation phenomena,
Phys.
Rev. E, (1994),
1073-1076.
141
D. Auerbach, C. Grebogi,
Controlling chaos in high
dimensional systems,
Phys. Rev. Lett. 69 (1992),
3479-3482.
137
J.
A. Yorke,
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,
Estimating
correlation dimension from a time series: when does plateau onset occur?,
Physica
D, 69 (1993),
404-424.
127 G.-H.
Yuan,
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,
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,
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.