Control of chaos: Methods and applications. II. Applications

Automation and Remote Control

Volumn 65, Issue 4, 2004, Pages 505-533

  Andrievskii, B R ^a   Fradkov, A L ^a  

^a INSTITUTE OF PROBLEMS OF MECHANICAL ENGINEERING   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ECOLOGY; FLOW OF FLUIDS; FRICTION; LASER PULSES; PENDULUMS; PROBLEM SOLVING; TURBULENCE;

DIPOLE DOMAINS; MATHEMATICAL SPECULATION; MECHANICAL SYSTEMS; MICROCANTILEVERS;

CHAOS THEORY;

EID: 84904240277     PISSN: 00051179     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:AURC.0000023528.59389.09     Document Type: Review

References (180)

1. Alekeeev, V.V. and Loskutov, A.Yu., Parametric Action-based Destochatization of the System with Strage Attractor, Vestn. Mosk. Gos. Univ., Mat. Mekh. Fiz. Astron., 1985, vol. 26, no. 3, pp. 40-44.
2. Alekseev, V.V. and Loskutov, A.Yu., On the Possibility of Controlling a System with Strage Attractor, in Problemy ekologicheskogo monitoringa i modelirovaniya ekosistem (Problems of Ecological Monitoring and Modeling of Ecosystems), Leningrad: Gidrometeoizdat, 1985, vol. VIII.
3. Andreev, Yu.V., Dmitriev, A.S., and Kuminov, D.A., Chaotic Processors, Usp. Sovrem. Radioelektr. (Zarub. Radiodektron.), 1997, no. 10, pp. 50-79.
4. Andrievskii, B.R. and Fradkov, A.L., Control of Nonlinear Oscillatory and Chaotic Systems, Ch. 13, in Izbrannye glavy teorii avtomaticheskogo upravleniya (Selected Chapters of the Automatic Control Theory), St. Petersburg: Nauka, 1999.
5. Andrievskii, B.R. and Fradkov, A.L., Elementy matematicheskogo modelirovania v programmnyh sredakh MATLAB 5 i Scilab (Elements of Mathematical Modeling in MATLAB 5 and Scilab Program Environments), St. Petersburg: Nauka, 2001.
6. Andrievskii, B.R. and Fradkov, A.L., Control of Chaos: Methods and Applications. I. Methods, Avtom. Telemekh., 2003, no. 5, pp. 3-45.
7. Volkovskii, A.R. and Rul'kov, N.F., Lett. Zh. Teor. Fiz., 1993, no. 19, p. 3.
8. Ginzburg, N.S., Zaitsev, N.I., Il'akov, E.V., et al., Chaotic Generation in the Megawatt Backward-wave Tubes, Zh. Teor. Fiz., 2001, vol. 71, no. 11, pp. 73-80.
9. Glumov, V.M., Zemljakov, S.D., Rutkovskii, V.Yu., and Suhanov, V.M., Spatial Angular Motion of the Flexible Spacecraft: The Modal-physical Model and Its Characteristics, Avtom. Telemekh., 1998, no. 12, pp. 38-50.
10. Dmitriev, A.S., Panas, A.I., and Starkov, S.O., Dynamic Chaos as a Paradigm of the Modern Communication Systems, Zarub. Radioelektron., 1997, no. 10, pp. 4-26.
11. Dmitriev, A.S. and Kuz'min, L.V., Information Transmission Using Synchronous Chaotic Response in the Presence of Filtering in Communication Channel, Lett. Zh. Teor. Fiz., 1999, vol. 25, no. 16, pp. 71-77.
12. Dmitriev, A.S. and Panas, A.I., Dinamicheskii khaos: novye nositeli informatsii dlya sistem svyazi (Dynamic Chaos: New Data Carriers for Communication Systems), Moscow: Nauka, 2002.
13. Dmitriev, A.A., Chaotic Sequences Containing Given Information, Radiotekh. Elektron., 2002, vol. 47, no. 11, pp. 1370-1375.
14. Loiko, N.A., Naumenko, A.V., and Turovets, S.I., Action of the Pyragas Feedback on Dynamics of the Laser with Modulatin of Losses, Zh. Eksp. Teor. Fiz., 1997, vol. 112, no. 4 (10), pp. 1516-1530.
15. Miroshnik, I.V., Nikiforov, V.O., and Fradkov, A.L., Nelineinoe i adaptivnoe upravlenie slozhnymi dinamicheskimi sistemami (Nonlinear and Adaptive Control of Complex Dynamic Systems), St. Petersburg: Nauka, 2000.
16. Moon, F., Chaotic and Fractal Dynamics: An Introduction for Applied Scientists and Engineers, New York: Wiley, 1992. Translated under the title Khaoticheskie kolebaniya, Moscow: Mir, 1990.
17. Moon, F., Chaotic and Fractal Dynamics: An Introduction for Applied Scientists and Engineers, New York: Wiley, 1992. Translated under the title Khaoticheskie kolebaniya, Moscow: Mir, 1990.
18. Napartovich, A.P. and Suharev, A.G., Information Decoding in the Chaotic Laser System Controlled by Chaotic Signal, Kvantovaya Elektron., 1998, vol. 25, no. 1, pp. 85-88.
19. Nejmark, Yu.I. and Landa, P.S. Stokhasticheskie i khaoticheskie kolebaniya (Stochastic and Chaotic Oscillations), Moscow: Nauka, 1987.
20. Rabinovich, M.I. and Trubetskov, D.I., Vvedenie v teoriyu kolebanii i voln (Introduction to the Theory of Oscillations and Waves), Moscow: Nauka, 1984.
21. Fradkov, A.L., Feedback-based Study of Physical Systems, Avtom. Telemekh., 1999, no. 3, pp. 213-230.
22. Fradkov, A.L. and Andrievskii, B.R., Damping of Spacecraft Oscillations by Small-poer Control, Tez. X SPb. mezhd. konf. po integrirovannym navigatsionnym sistemam (Proc. X St. Petersburg Int. Conf. on Integrated Navigation Systems), St. Petersburg: GNC RF-CNII "Elektropribor", 2003.
23. Fradkov, A.L., Kiberneticheskaya fizika: principy i primery (Cybernetical Physics: Principles and Examples), St. Petersburg: Nauka, 2003.
24. Khramov, A.E. and Rempen, I.S., Impact of Delayed-time Feedback on Complex Dynamics in the Hydrodynamic Pierce Model, Radiotekh. Elektron., 2002, vol. 47, no. 6, pp. 732-738.
25. Shalfeev, V.D., Osipov, G.V., Kozlov, A.K., and Volkovskii, A.R., Chaotic Oscillations: Generation, Synchronization, Control, Zarub. Radioelektron. Usp. Sovr. Radioelektron., 1997, no. 10, pp. 27-49.
26. Shimanskii, V.E., Communication System with Chaotic Carrier Based on the ADSP-2181 Digital Signal Processor, Izv. Vuzov, Prikl. Nelin. Dinam., 1998, vol. 6, no. 5, pp. 66-75.
27. Abel, A. and Schwarz, W., Chaos Communication - Principles, Schemes, and System Analysis, Proc. IEEE, 2002, vol. 90, no. 5, pp. 691-710.
28. Aliev, K.M., Kamilov, I.K., Ibragimov, Kh.O., and Abakarova, N.S., Synchronization of Chaos and Small Signal Amplification in Electron-Hole Plasma of Germanium, in Proc. 2003 Int. Conf. "Physics and Control," Fradkov, A.L. and Churilov, A.N., Eds., St. Petersburg, Russia, 2003, pp. 675-679.
29. Alvarez-Ramirez, J., Puebla, H., and Cervantes, I., Stability of Observer-Based Chaotic Communications for a Class of Lur'e Systems, Int. J. Bifurcat, Chaos, 2002, vol. 12, no. 7, pp. 1605-1618.
30. Amann, A., Schöll, E., Baba, N., and Just, W., Time Delayed Feedback Control of Chaos by Spatio-Temporal Filtering, 2003 Int. Conf. "Physics and Control," St. Petersburg, 2003 (http://www.rusycon.ru).
31. Anderson, P.D., Galaktionov, O.S., Peters, G.W.M., van de Vosse, F.N., and Meijer, H.E.H., Chaotic Fluid Mixing in Non-Quasi-Static Time-Periodic Cavity Flows, Int. J. Heat Fluid Flow, 2000, vol. 21, pp. 176-185.
32. Andrievsky, B. and Fradkov, A., Information Transmission by Adaptive Synchronization with Chaotic Carrier and Noisy Channel, Proc. 39th IEEE Conf. Dec. Contr., Sydney, 2000.
33. Andrievsky, B.R., Adaptive Synchronization Methods for Signal Transmission on Chaotic Carriers, Math. Comput. Simulation, 2002, vol. 58, no. 4-6, pp. 285-293.
34. Andrievsky, B.R., Boykov, K.B., and Fradkov, A.L., Numerical and Experimental Excitability Analysis of Multi-Pendulum Mechatronics System, 15th IFAC World Congress on Automatic Control, Barcelona, July 2002.
35. Anishchenko, V.S. and Pavlov, A.N., Global Reconstruction in Application to Multichannel Communication, Phys. Revol. E, 1998, vol. 57, no. 2, pp. 2455-2457.
36. Ashhab, M., Salapaka, M.V., Dahleh, M., and Mezic, I., Control of Chaos in Atomic Force Microscopes, Am. Contr. Conf., 1997, vol. 1, pp. 196-202.
37. Ashhab, M., Salapaka, M.V., Dahleh, M., and Mezic, I., Dynamical Analysis and Control of Microcantilevers, Automatica, 1999, vol. 35, pp. 1663-1670.
38. Bai, E.-W., Lonngren, K.E., and Sprott, J.C., On the Synchronization of a Class of Electronic Circuits That Exhibit Chaos, Chaos, Solitons, Fractals, 2002, vol. 13, pp. 1515-1521.
39. Baptista, M.S., Cryptography with Chaos, Phys. Lett. A, 1998, vol. 240, pp. 50-54.
40. Baptista, M.S., Macau, E.E., Grebogi, C., et al., Integrated Chaotic Communication Scheme, Phys. Revol. E, 2000, vol. 64, no. 4, pp. 4835-4845.
41. Baptista, M.S., Macau, E.E., and Grebogi, C., Conditions for Efficient Chaos-Based Communication, Chaos, 2003, vol. 13, no. 1, pp. 145-150.
42. Barratt, C., On the Control of Chaos in Extended Structures, J. Vibration Acoustics - Trans. ASME, 1997, vol. 119, pp. 551-556.
43. Batlle, C., Fossas, E., and Olivar, G., Stabilization of Periodic Orbits of the Buck Converter by Time-Delayed Feedback, Int. J. Circ. Theory Appl., 1999, vol. 27, pp. 617-631.
44. Bishop, S.R. and Xu, D., The Use of Control to Eliminate Subharmonic and Chaotic Impacting Motions of a Driven Beam, J. Sound Vibr., 1997, vol. 205, pp. 223-234.
45. Brandt, M.E., Shih, H.T., and Chen, G.R., Linear Time-delay Feedback Control of a Pathological Rhythm in a Cardiac Conduction Model, Phys. Revol. E, 1997, vol. 56, pp. 1334-1337.
46. Brone, D. and Muzzio, F.J., Size Segregation in Vibrated Granular Systems: A Reversible Process, Phys. Revol. E, 1997, vol. 56, no. 1, pp. 1059-1063.
47. Chaos in Chemistry and Biochemistry, Field, R.J. and Gyorgyi, L., Eds., Singapore: World Scientific, 1992.
48. Chaos and Non-linear Models in Economics. Theory and Applications, Creedy, J. and Martin, V.L., Eds., Melbourne: Edward Elgar, 1994.
49. Chen, J.H., Chau, K.T., Siu, S.M., and Chan, C.C., Experimental Stabilization of Chaos in a Voltage-Mode Dc Drive System, IEEE Trans. Circ. Syst. I, 2000, no. 47, pp. 1093-1095.
50. Chen, L.Q. and Cheng, C.J., Controlling Chaotic Oscillations of Viscoelastic Plates by the Linearization via Output Feedback, App. Math. Mech. Engl. Ed., 1999, no. 220, pp. 1324-1330.
51. Chen, H.-K., Chaos and Chaos Synchronization of a Symmetric Gyro with Linear-Plus-Cubic Damping, J. Sound Vibr., 2002, vol. 255, no. 4, pp. 719-740.
52. Chen, Li-Qun and Liu Yan-Zhu, Chaotic Attitude Motion of a Magnetic Rigid Spacecraft and Its Control, Int. J. Non-Linear Mechanics, 2002, vol. 37, pp. 493-504.
53. Gluckman, B.J., Control of Seizing Neuronal Networks, in Experimental Chaos. 6th Experimental Chaos Conf., Potsdam, Germany, 2001, AIP Conf. Proc., Boccaletti, S., Gluckman, B.J., Kurths, J., et al., New York, 2002, vol. 622, pp. 105-107.
54. Cuomo, K.M., Oppenheim, A.V., and Strogatz, S.H., Synchronization of Lorenz-based Chaotic Circuits with Application to Communications, IEEE Trans. Circ. Syst. - II, 1993, vol. 40, no. 10, pp. 626-633.
55. Cuomo, K.M. and Oppenheim, A.V., Circuit Implementation of Synchronized Chaos with Applications to Communications, Phys. Rew. Lett., 1993, vol. 71, no. 1, pp. 65-68.
56. Complexity, Chaos, and Biological Evolution, NATO ASI Series, ser. B: Physics, Mosekilde, E. and Mosekilde, L., Eds., New York: Plenum, 1991, vol. 270.
57. D'Alessandro, D., Dahleh, M., and Mezic, I., Control of Mixing in Fluid Flow: A Maximum Entropy Approach, IEEE Trans. Automat. Control, 1999, vol. 44, no. 10, pp. 1852-1863.
58. Davies, M.L., Halford-Maw, P.A., Hill, J., Tinsley, M.R., Johnson, B.R., Scott, S.K., Kiss, I.Z., and Gáspár, V., Control of Chaos in Combustion Reactions, J. Phys. Chem. A, 2000, vol. 104, pp. 9944-9952.
59. Dedieu, H. and Ogorzalek, M., Chaos Based Information Processing, Int. J. Bifurcat. Chaos, 2000, vol. 10, no. 4, pp. 737-748.
60. Desharnais, R.A., Costantino, R.F., Cushing, J.M., et al., Chaos and Population Control of Insect Outbreaks, Ecology Lett., 2001, vol. 4, 229-235.
61. Dhamala, M. and Lai, Y.C., Controlling Transient Chaos in Deterministic Flows with Applications to Electrical Power Systems and Ecology, Phys. Revol. E, 1999, vol. 59, pp. 1646-1655.
62. Ditto, W.L., Spano, M.L., In, V., Neff, J., Meadows, B., Langberg, J.J., Bolmann, A., and McTeague, K., Control of Human Atrial Fibrillation, Int. J. Bifurcat. Chaos, 2000, vol. 10, pp. 593-601.
63. Dmitriev, A., Andreev, Yu., Belsky, Yu., et al., US Patent 5774587: Method of Objects Recognition, Dec. 1, 1995.
64. Dolov, A.M. and Kuznetsov, S.P., Application of Idea of Chaos Control to Stabilization of Stationary Generation in Backward-Wave Oscillator, in Proc. 2003 Int. Conf. "Physics and Control", Fradkov, A.L. and Churilov, A.N., Eds., St. Petersburg, Russia, 2003, pp. 507-509.
65. Dykstra, R., Tang, D.Y., and Heckenberg, N.R., Experimental Control of Single-Mode Laser Chaos by Using Continuous, Time-Delayed Feedback, Phys. Revol. E, 1998, vol. 57, pp. 6596-6598.
66. Elmer, F.J., Controlling Friction, Phys. Revol. E, 1998, vol. 57, pp. 4903-4906.
67. Fang, C.C. and Abed, E.H., Robust Feedback Stabilization of Limit Cycles in Pwm Dc-Dc Converters, Nonlin. Dynam., 2002, vol. 27, pp. 295-309.
68. Feki, M., An Adaptive Chaos Synchronization Scheme Applied to Secure Communication, Chaos, Solitons, Fractals, 2003, vol. 18, pp. 141-148.
69. Femat, R., Jauregui-Ortiz, R., and Solis-Perales, G., A Chaos-Based Communication Scheme via Robust Asymptotic Feedback, IEEE Trans. Circ. Syst. I, 2001, vol. 48, pp. 1161-1169.
70. Feudel, U. and Grebogi, C., Multistability and the Control of Complexity, Chaos, 1997, vol. 7, pp. 597-604.
71. Fradkov, A.L. and Pogromsky, A.Yu., Introduction to Control of Oscillations and Chaos, Singapore: World Scientific, 1998.
72. Fradkov, A.L., Nijmeijer, H., and Markov, A.Yu., Adaptive Observer-based Synchronization for Communication, Int. J. Bifurcat. Chaos, 2000, vol. 10, no. 12, pp. 2807-2813.
73. Fradkov, A.L. and Andrievsky, B.R., Adaptive Robustified Synchronization Methods for Chaos-based Information Transmission, Proc. 1st IEEE Int. Conf. Circ. Syst. for Communic., St. Petersburg, 2002, pp. 275-280.
74. Fradkov, A.L., Nikiforov, V.O., and Andrievsky, B.R., Adaptive Observers for Nonlinear Nonpassifiable Systems with Application to Signal Transmission, Proc. 41st IEEE Conf. Dec. and Contr. (CDC '02), USA, 2002, pp. 47046-4711.
75. Friedel, H., Grauer, R., and Spatschek, K.H., Controlling Chaotic States of a Pierce Diode, Phys. Plasmas, 1998, vol. 5, pp. 3187-3194.
76. Gad-el-Hak, M., Flow Control: Passive, Active, and Reactive Flow Management, London: Cambridge Univ. Press, 2000.
77. Garfinkel, A., Spano, M.L., Ditto, W.L., and Weiss, J.N., Controlling Cardiac Chaos, Science, 1992, vol. 257, pp. 1230-1235.
78. Ge, Z.-M. and Lin, T.-N., Chaos, Chaos Control and Synchronization of Electro-Mechanical Gyrostat System, J. Sound Vibr., 2003, vol. 259, no. 3, pp. 585-603.
79. Ge, Z.M. and Shiue, J.S., Non-linear Dynamics and Control of Chaos for a Tachometer, J. Sound Vibr., 2002, vol. 253.
80. Ghezzi, L.L. and Piccardi, C., PID Control of a Chaotic System: An Application to an Epidemiological Model, Automatica, 1997, vol. 33, pp. 181-191.
81. Giona, M., Functional Reconstruction of Oscillating Reaction: Prediction and Control of Chaotic Kinetics, Chem. Engr. Sci., 1992, vol. 47, pp. 2469-2474.
82. Glorieux, P., Control of Chaos in Lasers by Feedback and Nonfeedback Methods, Int. J. Bifurcat. Chaos, 1998, vol. 8, pp. 1749-1758.
83. Guderian, A., Munster, A.F., Jinguji, M., Kraus, M., and Schneider, F.W., Resonant Chaos Control by Light in a Chemiluminescent Reaction, Chem. Phys. Lett., 1999, vol. 312, pp. 440-446.
84. Habel, R. and Beige, H., Ferroelectric Systems with Controlled Chaos, Int. J. Bifurcat. Chaos, 1997, vol. 7, pp. 199-204.
85. Harb, A.M. and Abdel-Jabbar, N., Controlling Hopf Bifurcation and Chaos in a Small Power System, Chaos, Solitons, Fractals, 2003, vol. 18, pp. 1055-1063.
86. He, S., Stabilizing the Richardson Eigenvector Algorithm by Controlling Chaos, Comput. Phys., 1997, vol. 11, pp. 194-198.
87. Heertjes, M.F. and Van de Molengraft, M.J.G., Controlling the Nonlinear Dynamics of a Beam System, Chaos, Solitons, Fractals., 2001, vol. 12, pp. 49-66.
88. Hill, K.M., Gilchrist, J.F., Ottino, J.M., Khakhar, D.V., and McCarthy, J.J., Mixing of Granular Materials: A Test-Bed Dynamical System for Pattern Formation, Int. J. Bifurcat. Chaos, 1999, vol. 9, pp. 1467-1484.
89. Holt, T.A., A Chaotic Model for Tight Diabetes Control, Diabetic Medicine, 2002, vol. 19, pp. 274-278.
90. Holyst, J.A., Hagel, T., and Haag, G., Destructive Role of Competition and Noise for Control of Microeconomical Chaos, Chaos, Solitons, Fractals, 1997, vol. 8, pp. 1489-1505.
91. Holyst, J.A. and Urbanowicz, K., Chaos Control in Economical Model by Time-Delayed Feedback Method, Physica A, 2000, vol. 287, pp. 587-598.
92. Holyst, J.A., Źebrowska, M., and Urbanowicz, K., Observations of Deterministic Chaos in Financial Time Series by Recurrence Plots, Can One Control Chaotic Economy?, Eur. Phys. J. B, 2001, vol. 20, pp. 531-535.
93. Ibragimov, Kh.O., Aliev, K.M., Kamilov, I.K., and Abakarova, N.S., Chaos in Germanium Oscillistor, in Proc. 2008 Int. Conf. "Physics and Control", Fradkov, A.L. and Churilov, A.N., Eds., St. Petersburg, Russia, 2003, pp. 680-682.
94. IEEE Transactions on Circuits and Systems. Special Issue "Chaos Control and Synchronization", Kennedy, M. and Ogorzalek, M., Eds., 1997, vol. 44, no. 10.
95. IEEE Transactions on Circuits and Systems. Special Issue on Applications of Chaos in Modern Communication Systems, Kocarev, L., Maggio, G.M., Ogorzalek, M., et al., Eds., 2001, vol. 48, no. 12.
96. Iñarrea, M. and Lanchares, V., Chaos in the Reorientation Process of a Dual-Spin Spacecraft with Time-Dependent Moments of Inertia, Int. J. Bifurcat. Chaos, 2000, vol. 10, no. 5, pp. 997-1018.
97. Int. J. Circuit Theory and Applications, Special Issue: Communications, Information Processing and Control Using Chaos, Hasler, M. and Vandewalle, J., Eds., 1999, vol. 27, no. 6.
98. Ishii, S. and Sato, M., Associative Memory Based on Parametrically Coupled Chaotic Elements, Physica D, 1998, vol. 121, pp. 344-366.
99. Kaart, S., Schouten, J.C., and van den Bleek, C.M., Synchronizing Chaos in an Experimental Chaotic Pendulum Using Methods from Linear Control Theory, Phys. Revol. E, 1999, vol. 59, pp. 5303-5312.
100. Kaart, S., Schouten, J.C., and van den Bleek, C.M., Improving Conversion and Selectivity of Catalytic Reactions in Bubbling Gas-Solid Fluidized Bed Reactors by Control of the Nonlinear Bubble Dynamics, Catalysis Today, 1999, vol. 48, pp. 185-194.
101. Kaplan, B.Z., Horen, Y., Cohen, G., and Hellerman, Y., Magnetic Levitation by Chaotic Oscillation: A New Method, IEEE Trans. Magnetics, 2002, vol. 38, no. 5, pp. 3475-3481.
102. Kennedy, M.P. and Kolumban, G., Digital Communications Using Chaos, in Controlling Chaos-and Bifurcations in Engineering Systems, Chen, G., Ed., Boca Raton: CRC Press, 1999, pp. 477-500.
103. Khakhar, D.V., McCarthy, J.J., Shinbrot, T., and Ottino, J.M., Transverce Plow and Mixing of Granular Materials in a Rotating Cylinder, Phys. Fluids, 1997, vol. 9, pp. 31-43.
104. Khakhar, D.V., McCarthy, J.J., Gilchrist, J.F., and Ottino, J.M., Chaotic Mixing of Granular Materials in Two-Dimensional Tumbling Mixers, Chaos, 1999, vol. 9, pp. 195-205.
105. Kimiaghalam, B., Homaifar, A., and Bikdash, M., Pendulation Suppression of a Shipboard Crane Using Fuzzy Controller, Proc. "Am. Control Conf. (ACC'99)", San Diego, California, 2-4 June 1999, pp. 586-590.
106. Kiss, I.Z., Gáspár, V., and Hudson, J.L., Experiments on Synchronization and Control of Chaos on Coupled Electrochemical Oscillators, J. Phys. Chem. B, 2000, vol. 104, pp. 7554-7560.
107. Kiss, I.Z. and Gáspár, V., Controlling Chaos with Artificial Neural Network: Numerical Studies and Experiments, J. Phys. Chem. A, 2000, vol. 104, pp. 8033-8037.
108. Kiss, I.Z., Wang, W., and Hudson, J.L., Forcing, Coupling, and Feedback of Chaotic Electrochemical Oscillators, in Experimental Chaos, 6th Experimental Chaos Conf., Potsdam, Germany, 2001, AIP Conf. Proc., Boccaletti, S., Gluckman, B.J., Kurths, J., et al., Eds., New York, 2002, vol. 622, pp. 3-11.
109. Klotz, A. and Brauer, K., A Small-Size Neural Network for Computing with Strange Attractors, Neural Netw., 1999, vol. 12, pp. 601-607.
110. Kocarev, L. and Parlitz, U., Genreal Approach for Chaotic Synchronization with Applications to Telecommunication, Phys. Rev. Lett., 1995, vol. 74, no. 25, pp. 5028-5031.
111. Kol'tsova, E.M., Gordeev, L.S., Korchagin, E.Y., et al., Control of Chaos in Chemical Systems (for the Process of Crystallization as an Example), Rus. J. Phys. Chemistry, 2000, vol. 74.
112. Kol'tsova, E.M., Cherenkov, M.V., and Korchagin, E.Y., Non-linear Processes and Control of Chaos in Chemical Technology, in Proc. 2003 Int. Conf. "Physics and Control", Fradkov, A.L. and Churilov, A.N., Eds., St. Petersburg, Russia, 2003, pp. 484-490.
113. Kolumban, G., Kennedy, M.P., and Chua, L.O., The Role of Synchronization in Digital Communications Using Chaos. I. Fundamentals of Digital Communications, IEEE Trans. Circ. Syst., part I, 1997, vol. 44, no. 10, pp. 927-936; II. Chaotic Modulation and Chaotic Synchronization, IEEE Trans. Circ. Syst., part I, 1998, vol. 45, no. 11, pp. 1129-1140.
114. Kolumban, G., Kennedy, M.P., and Chua, L.O., The Role of Synchronization in Digital Communications Using Chaos. I. Fundamentals of Digital Communications, IEEE Trans. Circ. Syst., part I, 1997, vol. 44, no. 10, pp. 927-936; II. Chaotic Modulation and Chaotic Synchronization, IEEE Trans. Circ. Syst., part I, 1998, vol. 45, no. 11, pp. 1129-1140.
115. Kouomou, Y.C. and Woafo, P., Stability and Chaos Control in Electrostatic Transducers, Physica Scripta, 2000, vol. 62, pp. 255-260.
116. Lai, Y.C., Encoding Digital Information Using Transient Chaos, Int. J. Bifurcat. Chaos, 2000, vol. 10, pp. 787-795.
117. Lai, Y.M., Tse, C.K., and Chow, M.H.L., Control of Bifurcation in Current-Programmed DC/DC Converters: An Alternative Viewpoint of Ramp Compensation, Circuits Syst. Signal Process., 2001, vol. 20, pp. 695-707.
118. Lanchares, V., Iñarrea, M., and Salas, J.P., Spin Rotor Stabilization of a Dual-Spin Spacecraft with Time Dependent Moments of Inertia, Int. J. Bifurc. Chaos, 1998, vol. 8, no. 3, pp. 609-617.
119. Lee, S.T.S, Chung, H.S.H., Chen, G., and Hui, S.Y.R., Use of Chaotic Switching in Electronic Ballasts, PAPER Special Section on Nonlinear Theory and Its Applications.
120. Lenci, S. and Rega, G., A Procedure for Reducing the Chaotic Response Region in an Impact Mechanical System, Nonlin. Dynam., 1998, vol. 15, pp. 391-409.
121. Lenci, S. and Rega, G., Controlling Nonlinear Dynamics in a Two-Well Impact System. I. Attractors and Bifurcation Scenario under Symmetric Excitations, Int. J. Bifurcat. Chaos, vol. 8, pp. 2387-2407.
122. Lenci, S. and Rega, G., Numerical Control of Impact Dynamics Inverted Pendulum through Optimal Feedback Strategies, J. Sound Vibr., 2000, vol. 236, pp. 505-527.
123. Liao, T.-L. and Huang, N.-S., An Observer-based Approach for Chaotic Synchronization with Applications to Secure Communications, IEEE Trans. Circ. Syst. I, 1999, vol. 46, pp. 1144-1150.
124. Lim, T.K., Kwak, K., and Yun, M., An Experimental Study of Storing Information in a Controlled Chaotic System with Time-Delayed Feedback, Physics Letters A, 1998, vol. 240, pp. 287-294.
125. Locher, M., Johnson, G.A., and Hunt, E.R., Stability Analysis of Fixed Points via Chaos Control, Chaos, 1997, vol. 7, pp. 590-596.
126. Lorenz, H.W., Nonlinear Dynamical Equations and Chaotic Economy, Berlin: Springer, 1993.
127. Mariño, I.P., Rosa, E., Jr., and Grebogi, C., Exploiting the Natural Redundancy of Chaotic Signals in Communication Systems, Phys. Rev. Lett., 2000, vol. 85, no. 12, pp. 2629-2632.
128. Mariño, I.P., Lopez, L., and Sanjuan, M.A.F., Channel Coding in Communications Using Chaos, Physics Letters A, 2002, vol. 295, pp. 185-191.
129. Meehan, P.A. and Asokanthan, S.F., Control of Chaotic Instabilities in a Spinning Spacecraft with Dissipation Using Lyapunov Method, Chaos, Solitons, Fractals, 2002, vol. 13, pp. 1857-1869.
130. Meehan, P.A. and Asokanthan, S.F., Control of Chaotic Motion in a Dual-Spin Spacecraft with Nutational Damping, J. Guid., Control Dynam., 2002, vol. 25, no. 2, pp. 209-214.
131. Metcalf, G., Shinbrot, T., McCarthy, J.J., and Ottino, J.M., Avalanche Mixing of Granular Solids, Nature, 1995, vol. 374, pp. 39-41.
132. Mitsubori, K. and Aihara, K., Delayed-feedback Control of Chaotic Roll Motion of a Flooded Ship in Waves, Proc. R. Soc. London A, 2002, vol. 458, pp. 2801-2813.
133. Moon, F.C., Reddy, A.J., and Holmes, W.T., Experiments in Control and Anti-Control of Chaos in a Dry Friction Oscillator, J. Vibr. Control, 2003, vol. 9, pp. 387-397.
134. Morgül, Ö. and Solak, E., Observer Based Synchronization of Chaotic Systems, Phys. Rev., 1996, vol. E54, pp. 4803-4811.
135. Nijmeijer, H. and Mareels, I.M.Y., Observer Looks at Synchronization, IEEE Trans. Circ. Syst. I, 1997, vol. 44, no. 10, pp. 882-890.
136. Ott, E., Grebogi, C., and Yorke, J., Controlling Chaos, Phys. Revol. Lett., 1990, vol. 64, no. 11, pp. 1196-1199.
137. Ottino, J.M., The Kinematics of Mixing: Stretching, Chaos, and Transport, New York: Cambridge Univ. Press, 1989.
138. Parmananda, P., Madrigal, R., Rivera, M., Nyikos, L., Kiss, I.Z., and Gáspár, V., Stabilization of Unstable Steady States and Periodic Orbits in an Electrochemical System Using Delayed-Feedback Control, Phys. Revol. E, 1999, vol. 59, pp. 5266-5271.
139. Parmananda, P. and Eiswirth, M., Suppression of Chemical Turbulence Using Feedbacks and Forcing, J. Phys. Chem. A, 1999, vol. 103, pp. 5510-5514.
140. Parmananda, P., Rivera, M., Madrigal, R., Kiss, I.Z., and Gáspár, V., Resonant Control of Electrochemical Oscillations, J. Phys. Chem. B, 2000, vol. 104, pp. 11748-11751.
141. Paskota, M., Mees, A.I., Teo, K.L., Directing Orbits of Chaotic Systems in the Presence of Noise: Feedback Correction, Dynamics Control, 1997, vol. 7, pp. 25-47.
142. Paskota, M., On Modelling and the Control of Vibroformers in Aluminium Production, Chaos, Solitons, Fractals, 1998, vol. 9, pp. 323-335.
143. Paskota, M. and Lee, H.W.J., Targeting Moving Targets in Chaotic Dynamical Systems, Chaos, Solitons, Fractals, 1997, vol. 8, pp. 1533-1544.
144. Pecora, L.M., Carroll, T.L., Johnson, G.A., and Mar, D.J., Fundamentals of Synchronization in Chaotic Systems, Concepts and Applications, Chaos, 1997, vol. 7, no. 4, pp. 520-543.
145. Peil, M., Heil, T., Fischer, I., and Els̈aber, W., Chaos-synchronization in Semiconductor Laser Systems: An Optical Phase Dependent Scenario, in AIP Conf. Proc. "Experimental Chaos," 6th Experimental Chaos Conf., Potsdam, Germany, 2001, vol. 622, Boccaletti, S., Gluckman, B.J., Kurths, J., et al., Eds., New York, 2002, pp. 433-438.
146. Peters, E., Chaos and Order in the Capital Markets, New York: Wiley, 1991.
147. Petrov, V., Bo Peng, and Showalter, K., A Map-Based Algorithm for Controlling Low-Dimensional Chaos, J. Chem. Phys., 1992, vol. 96, pp. 7506-7513.
148. Petrov, V., Gáspár, V., Masere, J., and Showalter, K., Controlling Chaos in the Belousov-Zhabotinsky Reaction, Nature, 1993, vol. 361, pp. 240-243.
149. Petrov, V. and Showalter, K., Nonlinear Prediction, Filtering, and Control of Chemical Systems from Time Series, Chaos, 1997, vol. 7, pp. 614-620.
150. Piel, A., Greiner, F., Klinger, T., Krahnstover, N., and Mausbach, T., Chaos and Chaos Control in Plasmas, Physica Scripta, 2000, vol. T84, pp. 128-131.
151. Poddar, G., Chakrabarty, K., and Banerjee, S., Control of Chaos in DC-DC Converters, IEEE Trans. Circ. Syst. I., 1998, vol. 45, pp. 672-676.
152. Rappel, W.J., Fenton, F., and Karma, A., Spatiotemporal Control of Wave Instabilities in Cardiac Tissue, Phys. Rev. Lett., 1999, vol. 83, pp. 456-459.
153. Rem, B. and Armbruster, D., Control and Synchronization in Switched Arrival Systems, Chaos, 2003, vol. 13, no. 1, pp. 128-137.
154. Rosa, E., Jr., Hayes, S., and Grebogi, C., Noise Filtering in Communication with Chaos, Phys. Rev. Lett., 1997, vol. 78, no. 7, pp. 1247-1250.
155. Roy, R., Murphy, T.W., Maier, T.D., Gills, Z., and Hunt, E.R., Dynamical Control of a Chaotic Laser: Experimental Stabilization of a Globally Coupled System, Phys. Rev. Lett., 1992, vol. 68, pp. 1259-1262.
156. Chowdhury, R.A., Saha, P., and Banerjee, S., Control of Chaos in Laser Plasma Interaction, Chaos, Solitons, Fractals, 2002, vol. 12, pp. 2421-2426.
157. Rozman, M.G., Urbakh, M., and Klafter, J., Controlling Chaotic Frictional Forces, Phys. Revol. E, 1998, vol. 57, pp. 7340-7343.
158. Scholl, E., Amann, A., Schlesner, J., et al., Chaos Control of Nonlinear Current Oscillations in Semiconductor Heterostructures, in 2003 Int. Conf. "Physics and Control," St. Petersburg, 2003 (http://www.rusycon.ru).
159. Schomburg, E., Hofbeck, K., Scheuerer, R., et al., Control of the Dipole Domain Propagation in a Gaas/Alas Superlattice with a High-Frequency Field, Phys. Revol. B, 2002, vol. 65, p. 155-320.
160. Sen, A.K., Control and Diagnostic Uses of Feedback, Physics of Plasmas, 2000, vol. 7, pp. 1759-1766.
161. Sharma, A. and Gupte, N., Control Methods for Problems of Mixing and Coherence in Chaotic Maps and Flows, Pramana - J. Physics, 1997, vol. 48, pp. 231-248.
162. Shinbrot, T., Alexander, A., and Muzzio, F.J., Spontaneous Chaotic Granular Mixing, Nature, 1999, vol. 397, no. 676.
163. Sinha, S. and Ditto, W.L., Computing with Distributed Chaos, Phys. Revol. E, 1999, vol. 60, pp. 363-377.
164. Sole, R.V., Gamarra, J.G.P., Ginovart, M., and Lopez, D., Controlling Chaos in Ecology: From Deterministic to Individual-based Models, Bullet Mathem. Biology, 1999, vol. 61, pp. 1187-1207.
165. Song, H., Li, Y.N., Chen, L., Cai, Z.S., Li, Y.J., Hou, Z., Zhao, X.Z., Controlling Belousov-Zhabotinsky-Continuous Stirred Tank Reactor Chaotic Chemical Reaction by Discrete and Continuous Control Strategies, PCCP Physical Chemistry Chemical Physics, 1999, vol. 1, pp. 813-819.
166. Sosnovtseva, O.V, Pavlov, A.N., Mosekilde, E., and Holstein-Rathlou, N.-H., Bimodal Dynamics in Nephron Autoregulation, in Proc. 2008 Int. Conf. "Physics and Control," Fradkov, A.L. and Churilov, A.N., Eds., St. Petersburg, Russia, 2003, pp. 283-288.
167. Srivastava, K.N. and Srivastava, S.C., Elimination of Dynamic Bifurcation and Chaos in Power Systems Using Facts Devices, IEEE Trans. Circ. Syst. I, 1998, vol. 45, pp. 72-78.
168. Srivastava, K.N. and Srivastava, S.C., Quasi-periodic Route to Chaos and Its Control in a Power-System Model, Eur. Trans. Electr. Power, 1999, vol. 9, pp. 241-245.
169. Suárez, I., Mastering Chaos in Ecology, Ecological Modelling, 1999, vol. 117, pp. 305-314.
170. Tang, S., Illing, L., Liu, J.M., et al., Communication Using Synchronization of Chaos Semiconductor Lasers with Optoelectronic Feedback, in Experimental Chaos. 6th Experimental Chaos Conf., Potsdam, Germany, 2001, Boccaletti, S., Gluckman, B.J., Kurths, J., et al., Eds., AIP Conf. Proc., New York, 2002, vol. 622, pp. 224-229.
171. Thomas, K.I. and Ambika, G., Suppression of Smale Horseshoe Structure via Secondary Perturbations in Pendulum Systems, Pramana - J. Physics, 1999, vol. 52, pp. 375-387.
172. Tôrres, L.A.B, and Aguirre, L.A., Extended Chaos Control Method Applied to Chua Circuit, Electr. Lett., 1999, vol. 35, no. 10, pp. 768-770.
173. Uchida, A., Shinozuka, M., Kinugawas, S., et al., Chaotic On-Off Keying in Laser Systems for Optical Secure Communications, in Experimental Chaos. 6th Experimental Chaos Conf., Potsdam, Germany, 2001. AIP Conf. Proc., vol. 622, Boccaletti, S., Gluckman, B.J., Kurths, J., et al., Eds., New York, 2002. pp. 317-328.
174. Vincent, T.L., Control Using Chaos, IEEE Contr. Syst. Magazine, 1997, vol. 17, pp. 65-76.
175. Vincent, T.L. and Mees, A.I., Controlling a Bouncing Ball, Int. J. Bifurcat. Chaos., 2000, vol. 10, pp. 579-592.
176. Wiener, R.J., Dolby, D.C., Gibbs, G.C., Squires, B., Olsen, T., and Smiley, A.M., Control of Chaotic Pattern Dynamics in Taylor Vortex Flow, Phys. Rev. Lett., 1999, vol. 83, pp. 2340-2343.
177. Wu, W., Nonlinear Bounded Control of a Nonisothermal CSTR, Industr. Eng. Chem. Research, 2000, vol. 39, pp. 3789-3798.
178. Xiao, J.H., Hu, G., and Gao, J.H., Turbulence Control and Synchronization and Controllable Pattern Formation, Int. J. Bifurcat. Chaos, 2000, vol. 10, pp. 655-660.
179. Yamapi, R., Chabi Orou, J.B., and Woafo, P., Harmonic Oscillations, Stability and Chaos Control in a Non-Linear Electromechanical System, J. Sound Vibr., 2003, vol. 259, no. 5, pp. 1253-1264.
180. Yang, T. and Chua, L.O., Chaotic Digital Code-Division Multiple Access (Cdma) Communication Systems, Int. J. Bifurcat. Chaos, 1997, vol. 7, pp. 2789-2805.