• 25366 Citations
1977 …2019
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Research Output 1977 2019

2002
17 Citations (Scopus)
Uncountable
Countable
Scattering
scattering
Cantor set
36 Citations (Scopus)

Finite-size Effects on Active Chaotic Advection

Nishikawa, T., Toroczkai, Z., Grebogi, C. & Tel, T., Feb 2002, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 65, 2, 11 p., 026216.

Research output: Contribution to journalArticle

Chaotic Advection
Finite Size Effects
advection
flow equations
Correlation Dimension

Obstruction to Modelling and Shadowing

Grebogi, C., Viana, R. L. & Pinto, S. E. S., 2002, Fifth World Congress on Computational Mechanics. Fifth World Congress on Computational Mechanics

Research output: Chapter in Book/Report/Conference proceedingChapter

6 Citations (Scopus)

Rainbow Transition in Chaotic Scattering

de Moura, A. P. S. & Grebogi, C., Mar 2002, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 65, 3, 4 p., 035206.

Research output: Contribution to journalArticle

rainbows
Scattering
Cross section
Singularity
scattering

Shadowability: Validity of Chaotic Trajectories

Grebogi, C., Barbosa, J. R. R., Pinto, S. E. S. & Viana, R. L., 2002, International Centre of Condensed Matter Physics Publication. International Centre of Condensed Matter Physics Publication

Research output: Chapter in Book/Report/Conference proceedingChapter

8 Citations (Scopus)

Shadowability of Chaotic Dynamical Systems

Grebogi, C., Poon, L., Sauer, T., Yorke, J. A. & Auerbach, D., 2002, Handbook on Dynamical Systems: Towards Applications. Handbook on Dynamical Systems: Towards Applications, p. 313-344 31 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

18 Citations (Scopus)

Unexpected robustness against noise of a class of nonhyperbolic chaotic attractors

Kantz, H., Grebogi, C., Prasad, A., Lai, Y-C. & Sinde, E., Feb 2002, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 65, 2, 8 p., 026209.

Research output: Contribution to journalArticle

Noise Robustness
Chaotic Attractor
Attractor
Stable and Unstable Manifolds
Hausdorff Distance
2001
34 Citations (Scopus)

Advective Coalescence in Chaotic Flows

Nishikawa, T., Toroczkai, Z. & Grebogi, C., 16 Jul 2001, In : Physical Review Letters. 87, 3, 4 p., 038301.

Research output: Contribution to journalArticle

coalescing
reaction kinetics
inertia
set theory
tracers
1 Citation (Scopus)

Bifurcations in Piecewise Smooth Maps

Banerjee, S. & Grebogi, C., 2001, Nonlinear Phenomena in Power Electronics : Bifurcations, Chaos, Control, and Applications. Banerjee, S. & Verghese, G. C. (eds.). IEEE Press

Research output: Chapter in Book/Report/Conference proceedingChapter

Communication With Chaos: Reconstructing Information-carrying Signals

Grebogi, C., Rosa, E., Boccaletti, C., Valadares, D. L. & Marino, I. P., 2001, Space-time Chaos: Characterization, Control, and Synchronization. Space-time Chaos: Characterization, Control, and Synchronization, p. 273-291 18 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

7 Citations (Scopus)

Driving Trajectories in Chaotic Systems

Grebogi, C. & Macau, E. E. N., 2001, In : International Journal of Bifurcation and Chaos. 11, p. 1423-1442 19 p.

Research output: Contribution to journalArticle

31 Citations (Scopus)

Dynamics of an Henon-Lozi Type Map

Grebogi, C., Robert, C. & Aziz-Alaoui, M. A., 2001, In : Chaos, Solitons & Fractals. 12, p. 2323-2341 18 p.

Research output: Contribution to journalArticle

82 Citations (Scopus)
8 Citations (Scopus)

Output Functions and Fractal Dimensions in Dynamical Systems,

Moura, A. P. S. & Grebogi, C., 2001, In : Physical Review Letters. 86, p. 2778-2781 3 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)
12 Citations (Scopus)

Riddled Basins and Unstable Dimension Variability in Chaotic Systems With and Without Symmetry

Grebogi, C. & Viana, R. L., 2001, In : International Journal of Bifurcation and Chaos. 11, p. 2689-2698 9 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Signal Dropout Reconstruction in Communicating with Chaos

Grebogi, C., Valladares, D. L., Boccaletti, C. & Mancini, H., 2001, In : International Journal of Bifurcation and Chaos. 11, p. 2621-2625 4 p.

Research output: Contribution to journalArticle

2000
4 Citations (Scopus)

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

206 Citations (Scopus)
55 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

3 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

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

18 Citations (Scopus)

Exploiting the natural redundancy of chaotic signals in communication systems

Marino, I. P., Rosa, E. & Grebogi, C., 18 Sep 2000, In : Physical Review Letters. 85, 12, p. 2629-2632 4 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Feedback synchronization using pole-placement control

Tonelli, R., Lai, Y. C., Grebogi, C. & Lai, Y-C., Nov 2000, In : International Journal of Bifurcation and Chaos. 10, 11, p. 2611-2617 7 p.

Research output: Contribution to journalArticle

34 Citations (Scopus)

Integrated chaotic communication scheme

Baptista, M. S., Macau, E. E., Grebogi, C., Lai, Y. C. & Rosa, E., Oct 2000, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 62, 4, p. 4835-4845 11 p.

Research output: Contribution to journalArticle

Necessity of statistical modeling of deterministic chaotic systems

Lai, Y. C., Grebogi, C. & Lai, Y-C., 2000, STATISTICAL PHYSICS. Tokuyama, M. & Stanley, HE. (eds.). MELVILLE: AMER INST PHYSICS, p. 531-542 12 p.

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

11 Citations (Scopus)

Obstruction to deterministic modeling of chaotic systems with an invariant subspace

Lai, Y. C., Grebogi, C. & Lai, Y-C., Mar 2000, In : International Journal of Bifurcation and Chaos. 10, 3, p. 683-693 11 p.

Research output: Contribution to journalArticle

Riddling in Dynamical Systems

Lai, Y. C. & Grebogi, C., 2000, Equadiff 99. Fiedler, B., Groger, K. & Sprekels, J. (eds.). World Scientific

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

655 Citations (Scopus)

The control of chaos: theory and applications

Boccaletti, S., Grebogi, C., Lai, Y. C., Mancini, H., Maza, D. & Lai, Y-C., May 2000, In : Physics Reports. 329, 3, p. 103-197 95 p.

Research output: Contribution to journalArticle

The Effect of Noise on Bursting in Maps With Symmetry

Chin, W., Grebogi, C. & Kan, I., 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

32 Citations (Scopus)

Topological scaling and gap filling at crisis

Szabo, K. G., Lai, Y. C., Tel, T., Grebogi, C. & Lai, Y-C., May 2000, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 61, 5, p. 5019-5032 14 p.

Research output: Contribution to journalArticle

19 Citations (Scopus)

Topology of high-dimensional chaotic scattering

Lai, Y. C., de Moura, A. P. S., Grebogi, C. & Lai, Y-C., Nov 2000, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 62, 5, p. 6421-6428 8 p.

Research output: Contribution to journalArticle

High-dimensional
topology
Scattering
Topology
scattering
29 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

34 Citations (Scopus)

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

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

205 Citations (Scopus)
54 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

7 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

39 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

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

Chaos
Fixed point
Placement

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

13 Citations (Scopus)

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

18 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

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

14 Citations (Scopus)

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

11 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