• 26370 Citations
1977 …2020

Research output per year

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Research Output

2003

Conditions for Efficient Chaos-based Communication

Grebogi, C., Macau, E. E. N. & Baptista, M. S., 2003, In : Chaos. 13, p. 145-150 5 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

Erosion of the Safe Basin for the Transversal Oscillations of a Suspension Bridge

Grebogi, C., Viana, R. L. & Freitas, M. S. T., 2003, In : Chaos, Solitons & Fractals. 18, p. 829-841 12 p.

Research output: Contribution to journalArticle

36 Citations (Scopus)

Foreword

Grebogi, C. & Ren, H-P., 2003, Chaotic Signals in Digital Communications. Eisencraft, M., Attux, R. & Suyama, R. (eds.). CRC Press, p. xxvii-xxviii 2 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Introduction: Control and Synchronization in Chaotic Dynamical Systems

Grebogi, C., Kurths, J., Boccaletti, C. & Lai, Y. C., 2003, In : Chaos. 13, p. 126-127 1 p.

Research output: Contribution to journalArticle

53 Citations (Scopus)

Pseudo-deterministic Chaotic Systems

Grebogi, C., Viana, R. L., Pinto, S. E. S. & Barbosa, J. R. R., 2003, In : International Journal of Bifurcation and Chaos. 13, p. 3235-3253 18 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)

Reactive Dynamics of Inertial Particles in Nonhyperbolic Chaotic Flows

Motter, A. E., Lai, Y. C., Grebogi, C. & Lai, Y-C., Nov 2003, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 68, 5, 5 p., 056307.

Research output: Contribution to journalArticle

34 Citations (Scopus)

Searching in small-world networks

de Moura, A. P. S., Motter, A. E. & Grebogi, C., Sep 2003, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 68, 3, 5 p., 036106.

Research output: Contribution to journalArticle

32 Citations (Scopus)

Shadowing and Modelling in Chaotic Dynamics

Grebogi, C., Pinto, S. E. S., Viana, R. L. & Barbosa, J. R. R., 2003, Anais do I Encontro Nacional de Fisica Teorica e Computacional, Brasilia. Anais do I Encontro Nacional de Fisica Teorica e Computacional, Brasilia

Research output: Chapter in Book/Report/Conference proceedingChapter

Topology of Windows in High-dimensional Parameter Space Chaotic Maps

Grebogi, C., Baptista, M. S. & Barreto, E., 2003, In : International Journal of Bifurcation and Chaos. 13, p. 2681-2688 7 p.

Research output: Contribution to journalArticle

Topology of windows in the high-dimensional parameter space of chaotic maps

Baptista, M. S., Grebogi, C. & Barreto, E., Sep 2003, In : International Journal of Bifurcation and Chaos. 13, 9, p. 2681-2688 8 p.

Research output: Contribution to journalArticle

15 Citations (Scopus)

Validity of Numerical Trajectories in the Synchronization Transition of Complex Systems

Viana, R. L., Grebogi, C., Pinto, S. E. D. S., Lopes, S. R., Batista, A. M. & Kurths, J., Dec 2003, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 68, 6, 4 p., 067204.

Research output: Contribution to journalArticle

26 Citations (Scopus)

Why are chaotic attractors rare in multistable systems?

Feudel, U. & Grebogi, C., 26 Sep 2003, In : Physical Review Letters. 91, 13, 4 p., 134102.

Research output: Contribution to journalArticle

46 Citations (Scopus)
2002

Active synchronization in nonhyperbolic hyperchaotic systems

Macau, E. E. N., Grebogi, C., Lai, Y. C. & Lai, Y-C., Feb 2002, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 65, 2, 4 p., 027202.

Research output: Contribution to journalArticle

13 Citations (Scopus)

Autocatalytic Reactions of Phase Distributed Active Particles

Grebogi, C., Nishikawa, T., Toroczkai, Z. & Santoboni, G., 2002, In : Chaos. 12, p. 408-412 4 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Chaotic bursting at the onset of unstable dimension variability

Viana, R. L., Pinto, S. E. D. & Grebogi, C., Oct 2002, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 66, 4, 9 p., 046213.

Research output: Contribution to journalArticle

20 Citations (Scopus)
17 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

36 Citations (Scopus)

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

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

6 Citations (Scopus)

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

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

8 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

18 Citations (Scopus)
2001

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

34 Citations (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

1 Citation (Scopus)

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

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

7 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

32 Citations (Scopus)
91 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

8 Citations (Scopus)
4 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

12 Citations (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

1 Citation (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

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

18 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

6 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

34 Citations (Scopus)

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

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

11 Citations (Scopus)

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

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

676 Citations (Scopus)

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

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

33 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

19 Citations (Scopus)
30 Citations (Scopus)