Control and Synchronization of Chaotic
Systems
(A Bibliography)
Guanrong Chen
Department of Electrical and Computer
Engineering
University of Houston, Houston,
TX 77204-4793, USA
gchen@uh.edu
January 1, 1997
Dear Reader:
This bibliography is prepared for
your information about control
and synchronization of chaotic
dynamical systems. Since there
has been enough awareness of this
relatively new direction of
research within the scientific
and engineering communities, books
and papers accepted and published
after January 1, 1997 will no
longer be collected into the bibliography.
However, this list
includes most publications on the
subject before January 1997.
I wish this file has been, and
continues to be a good information
source for you. And I sincerely
thank you for your interest.
When you use this bibliography as a reference, please cite as:
G.Chen: ``Control and synchronization
of chaotic systems
(bibliography),'' ECE Dept, Univ
of Houston, TX -- available
from ftp: ``ftp.egr.uh.edu/pub/TeX/chaos.tex''
(login name
``anonymous'' password: your email
address).
A
H. D. Abarbanel,
Analysis of Observed Chaotic Data,
(Chapters 8-9), Springer,
New York, 1996.
H. D. Abarbanel, R. Brown and M.
B. Kennel,
``Variation of Lyapunov exponents
on a strange attractor,''
J. of Nonlin. Sci., 1, pp. 175-199,
1991.
H. D. Abarbanel and P. S. Linsay,
``Secure communications and unstable
periodic orbits of strange
attractors,'' IEEE Trans.
on Circ. Sys., II, 40, pp. 643-645,
1993.
H. Abarbanel, M. Rabinovich, A.
Selverson, M. Bazhenov,
R. Huerta, M. Sushchik and L. Rubchinsky,
``Synchronization in neural assmblies,''
Russian Phys. Uspechy,
39, pp. 337-362, 1996.
H. Abarbanel, R. Brown, J. J. Sidorowich
and L. Sh. Tsimring,
``The analysis of observed chaotic
data in physical systems,''
Rev. of Modern Phys., 65, pp. 1331-1392,
1993.
E. H. Abed and H. O. Wang,
``Feedback control of bifurcation
and chaos in dynamical systems,''
in Recent Development in Stochastic
and Nonlinear Dynamics:
Applications to Mechanical Systems,
W. Kliemann and N. S.
Namachchivaya (eds.), CRC Press,
Boca Raton, FL, 1993, pp. 153-173.
E. H. Abed, H. O. Wang and R. C.
Chen,
``Stabilization of period doubling
bifurcations and
implications for control of chaos,''
IEEE Proc. of 31st Contr.
Decis. Conf., Tucson, AZ,
Dec. 1992. pp. 2119-2124.
E. H. Abed, H. O.Wang and R. C.
Chen,
``Stabilization of period doubling
bifurcations and implications
for control of chaos,'' Physica
D, 70, pp. 154-164, 1994.
E. H. Abed, H. O. Wang and A. Tesi,
``Control of bifurcation and chaos,''
in The Control Handbook,
W. S. Levine (ed.), CRC Press,
Boca Raton, FL, 1995, pp. 951-966.
R. A. Adomaitis and I. G. Kevrekidis,
``Noninvertibility and the structure
of basins of attraction
in a model adaptive control system,''
J. of Nonlin. Sci., 1, pp. 95-105,
1991.
V. S. Afraimovich, V. I. Nekorkin,
G. V. Osipov and V. D. Shalfeev,
Stability, Structures and Chaos
in Nonlinear Synchronization
Networks, World Scientific Pub.,
Singapore, 1994.
F. M. Aguiar, A. Azevedo and S.
M. Rezende,
``Modern spin-wave nonlinear dynamics,''
Physica D, 22, pp. 301-309, 1992.
L. A. Aguirre,
``The use of identified models
in the control of chaotic systems,''
Proc. of the IEEE Int'l Symp. on
Circ. Sys., Seattle, WA,
April 29 - May 3, 1995, pp. 1528-1531.
L. A. Aguirre and S. A. Billing,
``Model reference control of regular
and chaotic dynamics
in the Duffing-Ueda oscillator,''
IEEE Trans. Circ. Sys. I, 41, pp.
477-480, 1994.
L. A. Aguirre and S. A. Billing,
``Nonlinear chaotic systems: Approaches
and implications for
science and engineering - A survey,''
Applied Sign. Proc., 2, pp.
224-248, 1995.
V. V. Alekseev and A. Y. Loskutov,
``Control of a system with a strange
attractor through periodic
parametric action,''
Sov. Phys. Dokl., 32, pp. 1346-1348,
1987.
A. A. Alexeyev, A. K. Kozlov and
V. D. Shalfeev,
``Chaotic regime and synchronous
response in generator with
frequency feedback control loop,''
Appl. Nonlin. Dynamics, 2, pp.
71-77, 1994 (in Russian).
A. A. Alexeyev and V. D. Shalfeev,
``Stochastic synchronization in
ensemble of generators,''
Sov. Tech. Phys. Lett., 21, pp.
12-15, 1993.
A. A. Alexeyev and V. D. Shalfeev,
``Chaotic synchronization of multually-coupled
generators
with frequency-controlled feedback
loop,''
Int'l J. of Bifur. Chaos, 5, pp.
551-558, 1995.
P. M. Alsing, A. Gavrielides and
V. Kovanis,
``History-dependent control of
unstable periodic orbits,''
Phys. Rev. E, 50, pp. 1968-1977,
1994.
P. M. Alsing, A. Gavrielides and
V. Kovanis,
``Using neural networks for controlling
chaos,''
Phys. Rev. E, 49, pp. 1225-1231,
1994.
P. M. Alsing, R. Gavrielides and
V. Kovanis,
``Controlling unstable periodic
orbits in a nonlinear optical
system: the Ikeda map,''
1994 IEEE Nonlinear Optics: Materials,
Fundamentals,
and Applications, New York, pp.
72-74, 1994.
P. M. Alsing, A. Gavrielides and
V. Kovanis,
``Using neural networks for controlling
chaos,''
Proc. of the SPIE - The International
Society for Optical
Engineering, 2037, pp. 126-138,
1994.
J. Alvarez-Gallegos,
``Nonlinear regulation of a Lorenz
system by feedback
linearization techniques,''
J. of Dynamics and Control, 4,
pp. 277-298, 1994.
J. Alvarez-Gallegos,
``Chaotic dynamics in a PD-controlled
pendulum,''
Proc. of Amer. Contr. Conf., Baltimore,
MD, 1994, pp. 553-557.
J. Alvarez-Ramirez,
``Nonlinear feedback for controlling
the Lorenz equation,''
J. of Phys. Rev. E, 50, pp. 2339-2342,
1994.
J. Alvarez-Ramirez,
``Using nonlinear saturated feedback
to control chaos:
The Henon map,'' Phys. Rev. E,
48, pp. 3165-3167, 1993.
I. Amato,
``Putting gentle reins on unruly
systems,''
Science, May 1992, p. 229.
I. Amato,
``Coming in loud and clear - via
chaos,'' Science, July 1993,
p. 429.
A. De Angeli, R. Genesio and A.
Tesi,
``Dead-beat chaos synchronization
in discrete-time systems,''
IEEE Trans. on Circ. Sys., I, 42,
pp. 54-56, 1995.
V. S. Anishchenko, T. E. Vadivasova,
D. E. Postnov and
M. A. Safonova,
``Forced and mutual synchronization
of chaos,''
Radioeng. Electron., 36, pp. 338-351,
1991.
V. S. Anishchenko, T. E. Vadivasova,
D. E. Postnov and
M. A. Safonova, ``Synchronization
of chaos,''
Int'l J. of Bifur. Chaos, 2, pp.
633-644, 1992.
L. A. Anosov, O. Yu. Butkovskii,
Yu. A. Kravtsov and
E. D. Surovyatkina,
``Predictable nonlinear dynamics:
Advances and limitations,''
in Chaotic, Fractal, and Nonlinear
Signal Processing,
R. A. Katz (Ed.), AIP Press, New
York, 1995, pp. 71-91.
I. Antoniou, V. Basios and F. Bosco,
``Probabilistic control of chaos:
The beta-adic Renyi map under
contro,'' Int'l J. of Bifur. Chaos,
6, pp. 1563-1573, 1996.
I. Aranson, H. Levine and L. Tsimring,
``Controlling spatiotemporal chaos,''
Phys. Rev. Lett., 72, pp. 2561-2564,
1994.
F. T. Arecchi, G. Basti, S. Boccaletti
and A. L. Perrone,
``Adaptive recognition of chaos,''
Int'l J. of Bifur. Chaos, 4, pp.
1275-1280, 1995.
D. K. Arrowsmith, A. N. Lansbury
and R. J. Mondragon C,
``Control of the Arnold circle
map,''
Int'l J. of Bifur. Chaos, Vil.
6, pp. 437-454, 1996.
V. V. Astakhov, V. S. Anishchenko
and A. V. Shabunin,
``Controlling spatiotemporal chaos
in a chain of the
coupled logistic maps,''
IEEE Trans. on Circ. Sys., I.,
42, pp. 352-357, 1995.
V. V. Astakhov, V. S. Anishchenko
and A. V. Shabunin,
``Controlling spatiotemporal chaos
in a chain of the
coupled logistic maps,''
V. V. Astakhov, V. S. Anishchenko
and A. V. Shabunin,
``Controlling spatiotemporal chaos
in one- and two-domensional
coupled logistic map lattices,''
in Chaotic, Fractal, and Nonlinear
Signal Processing,
R. A. Katz (Ed.), AIP Press, New
York, 1995, pp. 104-118.
V. V. Astakhov, V. S. Anishchenko
and A. V. Shabunin,
``Controlling chaos in the modified
oscillator with inertial
nonlinearity,'' IEEE Trans. on
Circ. Sys., I., 42, pp. 366-368,
1995.
P. J. Aston and C. M. Bird,
``Analysis of the control of chaos-rate
of convergence,''
Int'l J. of Bifur. Chaos, 5, pp.
1157-1166, 1995.
A. M. Athalye and W. J. Grantham,
``Notch filter feedback control
of a chaotic system,''
Proc. of the Amer. Contr. Conf.,
Seattle, WA, June 21-23,
1995, pp. 837-841.
D. Auerbach,
``Controlling extended systems
of chaotic elements,''
Phy. Rev. Lett., 72, pp. 1184-1187,
1994.
D. Auerbach, C. Grebogi, E. Ott
and J. A. Yorke,
``Controlling chaos in high dimensional
systems,''
Phys. Rev. Lett., 69, pp. 3479-3482,
1992.
A. Azevedo and S. M. Rezende,
``Controlling chaos in spin-wave
instabilities,''
Phys. Rev. Lett., 66, pp. 1342-1345,
1991.
B
A. Babloyantz and C. Lourenco,
``Computation with chaos: A paradigm
for cortical activity,''
Proc. of Natl. Acad Sci. USA 91,
pp. 9027-9031, 1994.
A. Babloyantz, C. Lourenco and J.
A. Sepulchre,
``Control of chaos in delay differential
equations, in a
network of oscillators and in model
cortex,''
Physica D, 86, 274-283, 1995.
J. Baillieul, R. W. Brockett and
R. B. Washburn,
``Chaotic motion in nonlinear feedback
systems,''
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pp. 990-997, 1980.
J. K. Bandyopadhyay, V. R. Kumar,
B. D. Kulkarni and P. B. Deshpande,
``On dynamic control of chaos:
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G. L. Baker,
``Control of the chaotic driven
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1995.
E. Barany, G. Gallegos and R. Colbaugh,
``Control of chaos in the presence
of uncertainty,''
Proc. of 35th Conf. on Decis. Contr.,
Kobe, Japan, Dec. 1996,
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M. F. Barnsley,
``Making chaotic dynamical systems
to order,''
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M. F. Barnsley and S. G. Demko
(eds.), Academic Press, 1986, pp.
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E. Barreto and C. Grebogi,
``Multiparameter control of chaos,''
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E. Barreto, E. J. Kostelich, C.
Grebogi, E. Ott and J. A. Yorke,
``Efficient switching between controlled
unstable periodic orbits
in higher dimensional chaotic systems,''
Phys. Rev. E, 51, pp. 4169-4172,
1995.
M. D. Barrett,
``Continuous control of chaos,''
Physica D, 91, pp. 340-348, 1996.
C. Batlle, E. Fossas, and G. Olivar,
``Stabilization of periodic orbits
in variable structure systems.
Application to DC-DC power converters,''
Int'l J. of Bifur. Chaos, 6, pp.
2635-2643, 1996.
D. Battogtokh and A. Mikhailov,
``Controlling turbulence in the
complex Ginzburg-Landau equation,''
Physica D, 90, pp. 84-95, 1996.
H. H. Bau,
``On controlling a chaotic system''
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P. V. Bayly and L. N. Virgin,
``Practical considerations in the
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Phys. Rev. E, 50, pp. 604-607,
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V. N. Belykh, N. N. Verichev, Lj.
Kocarev and L. O. Chua,
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a linear array of Chua's circuits,''
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3, 579-589, 1993.
M. di Bernardo,
``An adaptive approach to the control
and synchronization of
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Int'l J. of Bifur. Chaos, 6, pp.
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M. di Bernardo,
``A purely adaptive controller
to syncronize and control chaotic
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P. A. Bernhardt,
``Communications using chaotic
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S. Bhajekar, E. A. Jonckheere and
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``Synchronizing nonautonomous chaotic
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in a noisy environment,''
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``Experimental verification of
Pyragas's chaos control method
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Int'l J. of Bifur. Chaos, 4, pp.
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through parameter adaptation,''
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``Chaotic synchronization and modulation
of nonlinear time-delayed
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IEEE Trans. on Circ. Sys., 42,
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