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Research Output

1997

Extracting unstable periodic orbits from chaotic time series data

So, P., Ott, E., Sauer, T., Gluckman, B. J., Grebogi, C. & Schiff, S. J., May 1997, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 55, 5, p. 5398-5417 20 p.

Research output: Contribution to journalArticle

104 Citations (Scopus)

From high dimensional chaos to stable periodic orbits: The structure of parameter space

Barreto, E., Hunt, B. R., Grebogi, C. & Yorke, J. A., 16 Jun 1997, In : Physical Review Letters. 78, 24, p. 4561-4564 4 p.

Research output: Contribution to journalArticle

87 Citations (Scopus)

How long do numerical chaotic solutions remain valid?

Sauer, T., Grebogi, C. & Yorke, J. A., 7 Jul 1997, In : Physical Review Letters. 79, 1, p. 59-62 4 p.

Research output: Contribution to journalArticle

124 Citations (Scopus)

Indecomposable continua in dynamical systems with noise: Fluid flow past an array of cylinders

Sanjuan, M. A. F., Kennedy, J., Grebogi, C. & Yorke, J. A., Mar 1997, In : Chaos. 7, 1, p. 125-138 14 p.

Research output: Contribution to journalArticle

34 Citations (Scopus)

Intermingled Basins and Riddling Bifurcation in Chaotic Dynamical Systems

Lai, Y. C., Grebogi, C. & Yorke, J. A., 1997, Proceedings of US-Chinese Conference on Differential Equations and Applications. Boston: International Press of Boston, Inc., p. 138-163 26 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Multistability and the control of complexity

Feudel, U. & Grebogi, C., Dec 1997, In : Chaos. 7, 4, p. 597-604 8 p.

Research output: Contribution to journalArticle

109 Citations (Scopus)

Noise filtering in communication with chaos

Rosa, E., Hayes, S. & Grebogi, C., 17 Feb 1997, In : Physical Review Letters. 78, 7, p. 1247-1250 4 p.

Research output: Contribution to journalArticle

81 Citations (Scopus)

On the control of US Navy cranes

Levinet, J., Rouchon, P., Yuan, G., Grebogi, C., Hunt, B. R., Kostelich, E., Ott, E. & Yorke, J. A., 8 Apr 1997, ECC 1997 - European Control Conference. Institute of Electrical and Electronics Engineers Inc., p. 2829-2833 5 p. 7082539

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Citations (Scopus)

Phase-locking in quasiperiodically forced systems

Feudel, U., Grebogi, C. & Ott, E., Nov 1997, In : Physics Reports. 290, 1-2, p. 11-25 15 p.

Research output: Contribution to journalArticle

29 Citations (Scopus)

Unstable dimension variability: A source of nonhyperbolicity in chaotic systems

Kostelich, E. J., Kan, I., Grebogi, C., Ott, E. & Yorke, J. A., 1 Nov 1997, In : Physica. D, Nonlinear Phenomena. 109, 1-2, p. 81-90 10 p.

Research output: Contribution to journalArticle

92 Citations (Scopus)

Wada dye boundaries in open hydrodynamical flows

Toroczkai, Z., Karolyi, G., Pentek, A., Tel, T., Grebogi, C. & Yorke, J. A., 1 May 1997, In : Physica. A, Statistical Mechanics and its Applications. 239, 1-3, p. 235-243 9 p.

Research output: Contribution to journalArticle

40 Citations (Scopus)
1998

Advection of active particles in open chaotic flows

Toroczkai, Z., Karolyi, G., Pentek, A., Tel, T. & Grebogi, C., 19 Jan 1998, In : Physical Review Letters. 80, 3, p. 500-503 4 p.

Research output: Contribution to journalArticle

100 Citations (Scopus)

Basin bifurcation in quasiperiodically forced systems

Feudel, U., Witt, A., Lai, Y. C., Grebogi, C. & Lai, Y-C., Sep 1998, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 58, 3, p. 3060-3066 7 p.

Research output: Contribution to journalArticle

25 Citations (Scopus)

Controlling Chaos in Mechanical Systems

Barreto, E., Lai, Y. C. & Grebogi, C., 1998, Nonlinear Dynamics of Material Processing and Manufacturing. Moon, F. (ed.). New York: Wiley, p. 285-302 18 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Controlling Chaos with Applications to Nonlinear Digital Communication

Grebogi, C., Lai, Y. C. & Hayes, S., 1998, Chaos and Noise in Biology and Medicine : Proceedings of the International School of Biophysics . Barbi, M. & Chillemi, S. (eds.). World Scientific Publishing Co. Pte Ltd, p. 114-133 20 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Dynamical properties of a simple mechanical system with a large number of coexisting periodic attractors

Feudel, U., Grebogi, C., Poon, L. & Yorke, J. A., 1998, In : Chaos, Solitons & Fractals. 9, 1-2, p. 171-180 10 p.

Research output: Contribution to journalArticle

44 Citations (Scopus)

Robust chaos

Banerjee, S., Yorke, J. A. & Grebogi, C., 6 Apr 1998, In : Physical Review Letters. 80, 14, p. 3049-3052 4 p.

Research output: Contribution to journalArticle

203 Citations (Scopus)

The control of chaos: Theoretical schemes and experimental realizations

Arecchi, F. T., Boccaletti, S., Ciofini, M., Meucci, R. & Grebogi, C., Aug 1998, In : International Journal of Bifurcation and Chaos. 8, 8, p. 1643-1655 13 p.

Research output: Contribution to journalArticle

70 Citations (Scopus)
1999

A Predictive Control Approach to the Generation and Reconstruction of Information Bearing Chaotic Signals

Mariño, I. P., Rosa, E. & Grebogi, C., 1999, Proceedings of the Fifth Baiona Conference on Emerging Technologies in Telecommunication . Pérez, F., Figueiras, A. R. & Gonzáles, N. (eds.). Universidade de Vigo, Faculty of Science

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Bifurcation rigidity

Hunt, B. R., Gallas, J. A. C., Grebogi, C., Yorke, J. A. & Kocak, H., 1 May 1999, In : Physica. D, Nonlinear Phenomena. 129, 1-2, p. 35-56 22 p.

Research output: Contribution to journalArticle

35 Citations (Scopus)

Blowout bifurcation of chaotic saddles

Kapitaniak, T., Lai, Y-C. & Grebogi, C., 1999, In : Discrete Dynamics in Nature and Society. 3, 1, p. 9-13 5 p.

Research output: Contribution to journalArticle

213 Citations (Scopus)

Chemical or biological activity in open chaotic flows

Karolyi, G., Pentek, A., Toroczkai, Z., Tel, T. & Grebogi, C., May 1999, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 59, 5, p. 5468-5481 14 p.

Research output: Contribution to journalArticle

54 Citations (Scopus)

Color map of Lyapunov exponents of invariant sets

Monti, M., Pardo, W. B., Walkenstein, J. A., Rosa, E. & Grebogi, C., Jul 1999, In : International Journal of Bifurcation and Chaos. 9, 7, p. 1459-1463 5 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

Communicating with chaos using two-dimensional symbolic dynamics

Lai, Y-C., Bollt, E. & Grebogi, C., 3 May 1999, In : Physics Letters A. 255, 1-2, p. 75-81 7 p.

Research output: Contribution to journalArticle

39 Citations (Scopus)

Controlling Chaos

Grebogi, C. & Lai, Y. C., 23 Feb 1999, Handbook of Chaos Control. Schuster, H. G. (ed.). Weinheim, Germany: Wiley-VCH, p. 1-20 20 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Controlling Transient Chaos on Chaotic Saddles

Tél, T., Lai, Y. C. & Grebogi, C., 1999, Controlling Chaos. Wiley, p. 181-203 23 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Driving trajectories in complex systems

Macau, E. E. N. & Grebogi, C., Apr 1999, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 59, 4, p. 4062-4070 9 p.

Research output: Contribution to journalArticle

15 Citations (Scopus)

Fractality, chaos, and reactions in imperfectly mixed open hydrodynamical flows

Pentek, A., Karolyi, G., Scheuring, I., Tel, T., Toroczkai, Z., Kadtke, J. & Grebogi, C., 1 Dec 1999, In : Physica. A, Statistical Mechanics and its Applications. 274, 1-2, p. 120-131 12 p.

Research output: Contribution to journalArticle

18 Citations (Scopus)

Fractality, Chaos, and Reactions in Imperfectly Mixed Open Hydrodynamics Flows

Péntek, Á., Károlyi, G., Scheuring, I., Tél, T., Toroczkai, Z., Kadtke, J. & Grebogi, C., 1999, NATO Proceedings.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Length scales of clustering in granular gases

Petzschmann, O., Schwarz, U., Spahn, F., Grebogi, C. & Kurths, J., 14 Jun 1999, In : Physical Review Letters. 82, 24, p. 4819-4822 4 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

Metamorphosis of chaotic saddle

Kapitaniak, T., Lai, Y-C. & Grebogi, C., 30 Aug 1999, In : Physics Letters A. 259, 6, p. 445-450 6 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Modeling of coupled chaotic oscillators

Lai, Y-C. & Grebogi, C., 14 Jun 1999, In : Physical Review Letters. 82, 24, p. 4803-4806 4 p.

Research output: Contribution to journalArticle

58 Citations (Scopus)

Modeling of deterministic chaotic systems

Lai, Y. C., Grebogi, C., Kurths, J. & Lai, Y-C., Mar 1999, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 59, 3, p. 2907-2910 4 p.

Research output: Contribution to journalArticle

50 Citations (Scopus)

Preference of attractors in noisy multistable systems

Kraut, S., Feudel, U. & Grebogi, C., May 1999, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 59, 5, p. 5253-5260 8 p.

Research output: Contribution to journalArticle

92 Citations (Scopus)

Riddling of chaotic sets in periodic windows

Lai, Y. C., Grebogi, C. & Lai, Y-C., 11 Oct 1999, In : Physical Review Letters. 83, 15, p. 2926-2929 4 p.

Research output: Contribution to journalArticle

27 Citations (Scopus)

Robust chaos - The theoretical formulation and experimental evidence

Banerjee, S., Kastha, D., Das, S., Vivek, G. & Grebogi, C., 1999, ISCAS '99: PROCEEDINGS OF THE 1999 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL 5. NEW YORK: IEEE Press, p. 293-296 4 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

Signal dropout reconstruction in communication with chaos

Marino, I. P., Rosa, E. & Grebogi, C., Dec 1999, In : International Journal of Bifurcation and Chaos. 9, 12, p. 2291-2293 3 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

The topology of fluid flow past a sequence of cylinders

Kennedy, J., Sanjuan, M. A. F., Yorke, J. A. & Grebogi, C., 9 Jun 1999, In : Topology and its Applications. 94, 1-3, p. 207-242 36 p.

Research output: Contribution to journalArticle

18 Citations (Scopus)

Tracer dynamics in a flow of driven vortices

Witt, A., Braun, R., Feudel, F., Grebogi, C. & Kurths, J., Feb 1999, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 59, 2, p. 1605-1614 10 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)

Universal behavior in the parametric evolution of chaotic saddles

Lai, Y-C., Zyczkowski, K. & Grebogi, C., 1 May 1999, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 59, 5, p. 5261-5265 5 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

Unstable dimension variability in coupled chaotic systems

Lai, Y. C., Lerner, D., Williams, K. & Grebogi, C., Nov 1999, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 60, 5, p. 5445-5454 10 p.

Research output: Contribution to journalArticle

35 Citations (Scopus)
2000

Analog to digital conversion in physical measurements

Kapitaniak, T., Zyczkowski, K., Feudel, U. & Grebogi, C., Jun 2000, In : Chaos, Solitons & Fractals. 11, 8, p. 1247-1251 5 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)
207 Citations (Scopus)

Chaotic advection, diffusion, and reactions in open flows

Tel, T., Karolyi, G., Pentek, A., Scheuring, I., Toroczkai, Z., Grebogi, C. & Kadtke, J., Mar 2000, In : Chaos. 10, 1, p. 89-98 10 p.

Research output: Contribution to journalArticle

55 Citations (Scopus)

Comment on "Riddling of chaotic sets in periodic windows" - Lai and Grebogi reply

Lai, Y. C., Grebogi, C. & Lai, Y-C., 10 Jul 2000, In : Physical Review Letters. 85, 2, p. 473-473 1 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
16 Citations (Scopus)

Control of Chaos and Targeting

Macau, E. E. N. & Grebogi, C., 2000, Proceedings of the ICONNE Conference: Applications of nonlinear phenomena : [papers presented at III Conference on Nonlinear Dynamics, Chaos, Control and their Applications in Engineering Sciences held in Campos do Jordão, São Paulo, Brazil from July 31 to August 4, 2000 (ICONNE 2000)]. Balthazar, J. M. (ed.). Campos do Jordão

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Control of shipboard cranes

Baptista, M. S., Hunt, B. R., Grebogi, C., Ott, E. & Yorke, J. A., 2000, IUTAM Symposium on Recent Developments in Non-Linear Oscillations of Mechanical Systems. Van Dao, N. & Kreuzer, E. J. (eds.). London, England: Kluwer Academic Publishers, Vol. 77. p. 75-84 10 p. (Solid Mechanics and Its Applications).

Research output: Chapter in Book/Report/Conference proceedingConference contribution