• 26255 Citations
1977 …2020

Research output per year

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Research Output

2008

Onset of chaotic advection in open flows

Biemond, J. J. B., Moura, A. P. S., Karolyi, G., Grebogi, C. & Nijmeijer, H., 2008, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 78, 1, 5 p., 016317.

Research output: Contribution to journalArticle

Open Access
File
12 Citations (Scopus)
6 Downloads (Pure)

The limit case response of archetypal oscillator for smooth and discontinuous dynamics

Cao, Q., Wiercigroch, M., Pavlovskaia, E. E., Grebogi, C. & Thompson, J. M. T., Jul 2008, In : International Journal of Non-Linear Mechanics. 43, 6, p. 462-473 12 p.

Research output: Contribution to journalArticle

72 Citations (Scopus)

The SD Oscillator and Its Attractors

Cao, Q., Wiercigroch, M., Pavlovskaia, E., Grebogi, C., Michael, J. & Thompson, T., 2008, ISND 2007: Proceedings of the 2007 International Symposium on Nonlinear Dynamics Pts1-4. He, J. (ed.). Bristol: IOP Publishing Ltd., 6 p. 12064. (Journal of Physics: Conference Series; vol. 96).

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

1 Citation (Scopus)
6 Citations (Scopus)

Untitled

Pisarchik, A. N. & Grebogi, C., 2008, In : International Journal of Bifurcation and Chaos. 18, p. 1605-1606 2 p.

Research output: Contribution to journalEditorial

2007

Chaotic advection and fractality: applications in oceanography

Karolyi, G. & Grebogi, C., 2007, Oceans 2007 - Europe, Vols 1-3. New York: IEEE Press, p. 1128-1132 5 p.

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

92 Citations (Scopus)

Periodic orbit analysis at the onset of the unstable dimension variability and at the blowout bifurcation

Pereira, R. F., Pinto, S. E. D. S., Viana, R. L., Lopes, S. R. & Grebogi, C., 27 Jun 2007, In : Chaos. 17, 2, 13 p., 023131.

Research output: Contribution to journalArticle

12 Citations (Scopus)

Phase locking control in the Circle Map

Almeida Di Donato, P. F., Macau, E. E. N. & Grebogi, C., Jan 2007, In : Nonlinear Dynamics. 47, 1-3, p. 75-82 8 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

SD oscillator, the attractor and their applications

Cao, Q. J., Wiercigroch, M., Pavlovskaia, E. E., Grebogi, C. & Thompson, J. M. T., Oct 2007, In : Zhendong Gongcheng Xuebao/Journal of Vibration Engineering. 20, 5, p. 454-458 5 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Signatures of fractal clustering of aerosols advected under gravity

Vilela, R. D., Tél, T., de Moura, A. P. S. & Grebogi, C., 27 Jun 2007, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 75, 6, 4 p., 065203(R).

Research output: Contribution to journalArticle

13 Citations (Scopus)
2006

Archetypal oscillator for smooth and discontinuous dynamics

Cao, Q., Wiercigroch, M., Pavlovskaia, E. E., Grebogi, C. & Thompson, J. M. T., 30 Oct 2006, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 74, 4, 5 p., 046218.

Research output: Contribution to journalArticle

123 Citations (Scopus)

Control of Chaos and Its Relevancy to Spacecraft Steering

Grebogi, C. & Macau, E. E. N., Sep 2006, In : Philosophical Transactions of the Royal Society of London. Series A. 364, 1846, p. 2463-2481 18 p.

Research output: Contribution to journalArticle

21 Citations (Scopus)

Dynamically Multilayered Visual System of the Multifractal Fly

Baptista, M. S., Grebogi, C. & Koberle, R., 27 Oct 2006, In : Physical Review Letters. 97, 17, 4 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)

Finite-size effects on open chaotic advection

Vilela, R. D., de Moura, A. P. S. & Grebogi, C., Feb 2006, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 73, 2, 6 p., 026302.

Research output: Contribution to journalArticle

19 Citations (Scopus)
2005

Bubbling Bifurcation: Loss of Synchronization and Shadowing Breakdown in Complex Systems

Grebogi, C., Viana, R. L., Pinto, S. E. S., Lopes, S. R., Batista, A. M. & Kurths, J., 2005, In : Physics Review D. 206, p. 94-108 14 p.

Research output: Contribution to journalArticle

41 Citations (Scopus)

Caos em Sistemas Dinamicos

Moura, A. P. S. & Grebogi, C., 2005, Fisica: Tendencias e Perspectivas. Fisica: Tendencias e Perspectivas, p. 99-107 8 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Chemical and Biological Activity in Open Flows: A Dynamical System Approach

Tel, T., Moura, A. P. S., Grebogi, C. & Karolyi, G., Jul 2005, In : Physics Reports. 413, 2-3, p. 91-196 105 p.

Research output: Contribution to journalArticle

144 Citations (Scopus)

Chemical and biological activity in open flows: a dynamical system approach (vol 413, pg 91, 2005)

Tel, T., de Moura, A., Grebogi, C. & Karolyi, G., Aug 2005, In : Physics Reports. 415, 5-6, p. 360-360 1 p.

Research output: Contribution to journalArticle

Effective Dynamics in Hamiltonian Systems with Mixed Phase Space

Motter, A. E., de Moura, A. P. S., Grebogi, C. & Kantz, H., Mar 2005, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 71, 3, 5 p., 036215.

Research output: Contribution to journalArticle

18 Citations (Scopus)

Estimation of Chaotic and Regular (Stick-slip and Slip-slip) Oscillations Exhibited by Coupled Oscillators with Dry Friction

Grebogi, C., Dzyubak, L. & Awrejcewicz, J., 2005, In : Nonlinear Dynamics. 42, p. 383-394 11 p.

Research output: Contribution to journalArticle

20 Citations (Scopus)

Intersections of Stable and Unstable Manifolds: the Skeleton of Lagrangian Chaos

Grebogi, C., Kurths, J., Gellert, M., Witt, A. & Feudel, F., 2005, In : Chaos, Solitons & Fractals. 24, p. 947-956 9 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)

Multistability in Suspension Bridges

Grebogi, C., Freitas, M. S. T. & Viana, R. L., 2005, Modelling and Control of Autonomous Decision Support System. Modelling and Control of Autonomous Decision Support System, p. 111-124 13 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Poincare Recurrence and Measure of Hyperbolic and Nonhyperbolic Chaotic Attractors

Baptista, M. S., Kraut, S. & Grebogi, C., 26 Aug 2005, In : Physical Review Letters. 95, 9, p. 094101-1 - 094101-4 4 p.

Research output: Contribution to journalArticle

13 Citations (Scopus)

Simulating a Chaotic Process

Grebogi, C., Viana, R. L., Barbosa, J. R. R., Batista, A. M. & Braz, E. M., 2005, In : Brazilian Journal of Physics. 35, p. 139-147 8 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Using geometric control and chaotic synchronization to estimate an unknown model parameter

Freitas, U. S., Macau, E. E. N. & Grebogi, C., Apr 2005, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 71, 4, 4 p., 047203.

Research output: Contribution to journalArticle

36 Citations (Scopus)
2004

A Direct Numerical Method for Quantifying Regular and Chaotic Orbits,

Grebogi, C., Dzyubak, L. & Awrejcewicz, J., 2004, In : Chaos, Solitons & Fractals. 19, p. 503-507 4 p.

Research output: Contribution to journalArticle

21 Citations (Scopus)

Basins of Attraction of Periodic Oscillations in Suspension Bridges

Grebogi, C., Viana, R. L. & Freitas, M. S. T., 2004, In : Nonlinear Dynamics. 37, p. 207-226 19 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)
8 Citations (Scopus)

Cryptography with Chaos at the Physical Level

Grebogi, C., Baptista, M. S. & Machado, R. F., 2004, In : Chaos, Solitons & Fractals. 21, p. 1265-1269 4 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

Escaping from nonhyperbolic chaotic attractors

Kraut, S. & Grebogi, C., 11 Jun 2004, In : Physical Review Letters. 92, 23, 4 p., 234101.

Research output: Contribution to journalArticle

20 Citations (Scopus)

Integrated Chaos-based Communication

Grebogi, C., Baptista, M. S. & Macau, E. E. N., Feb 2004, In : Acta Astronautica. 54, 3, p. 153-157 4 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Multistability, Basin Boundary Structure, and Chaotic Behavior in a Suspension Bridge Model

Grebogi, C., Viana, R. L. & Freitas, M. S. T., 2004, In : International Journal of Bifurcation and Chaos. 14, p. 927-950 23 p.

Research output: Contribution to journalArticle

29 Citations (Scopus)

Nonhyperbolic Chaotic Systems and Synchronization

Grebogi, C. & Macau, E. E. N., 2004, In : Advanced Space Dynamics. 4, p. 123-132 9 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Reactive particles in random flows

Karolyi, G., Tel, T., de Moura, A. P. S. & Grebogi, C., 30 Apr 2004, In : Physical Review Letters. 92, 17, 4 p., 174101.

Research output: Contribution to journalArticle

21 Citations (Scopus)

Stability properties of nonhyperbolic chaotic attractors with respect to noise

Kraut, S. & Grebogi, C., 17 Dec 2004, In : Physical Review Letters. 93, 25, 4 p., 250603.

Research output: Contribution to journalArticle

10 Citations (Scopus)

Surfando no Caos

Translated title of the contribution: Surfing in chaosMacau, E. EN. & Grebogi, C., May 2004, In : Ciência Hoje . 34, p. 20-27 8 p.

Research output: Contribution to journalArticle

Three-dimensional effects in active chaotic flows

de Moura, A. P. S. & Grebogi, C., 2004, Experimental Chaos: 8th Experimental Chaos Conference. Boccaletti, S., Gluckman, BJ., Kurths, J., Pecora, LM., Meucci, R. & Yordanov, O. (eds.). Melville: American Institute of Physics, p. 161-164 4 p.

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

Three-dimensional Effects in Active Chaotic Flows

Moura, A. P. S. & Grebogi, C., 2004. 5 p.

Research output: Contribution to conferenceOther

41 Citations (Scopus)

Universality in Active Chaos

Grebogi, C., Toroczkai, Z., Motter, A. E., Nishikawa, T. & Tel, T., 2004, In : Chaos. 14, p. 72-78 6 p.

Research output: Contribution to journalArticle

13 Citations (Scopus)

Unstable Dimension Variability and Codimension-one Bifurcations of Two-dimensional Maps

Grebogi, C., Viana, R. L. & Barbosa, J. R. R., 2004, In : Physics Letters A. 321, p. 244-251 7 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)
2003

Bubbling and Riddling of Higher-dimensional Attractors

Grebogi, C., Kapitaniak, T. & Maistrenko, Y., 2003, In : Chaos, Solitons & Fractals. 17, p. 61-66 5 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Communication-based on Topology Preservation of Chaotic Dynamics

Grebogi, C., Rosa, E., Sartorelli, J. C., Reyes, M. B. & Baptista, M. S., 2003, In : International Journal of Bifurcation and Chaos. 13, p. 2551-2560 9 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

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