• 25377 Citations
1977 …2019
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Research Output 1977 2019

2007
13 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

2006
112 Citations (Scopus)

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

20 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

9 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

stimuli
alphabets
spiking
neurons
spikes
16 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

Chaotic Advection
Finite Size Effects
advection
Particle Size
saddles
2005
39 Citations (Scopus)

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

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

137 Citations (Scopus)

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

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

17 Citations (Scopus)

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

Hamiltonian Systems
Hamiltonian Dynamics
Phase Space
Invariant
Hyperbolic Systems
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

9 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

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

13 Citations (Scopus)

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

trajectories
orbits
deviation
estimates
3 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

34 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

Chaotic Synchronization
synchronism
Synchronization
Unknown
Parameter Estimation
2004
20 Citations (Scopus)

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

13 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

8 Citations (Scopus)
14 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

20 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

escape
low noise
5 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

28 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

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)
Effective Dimension
Equilibrium Distribution
Active Particles
fractals
Reaction Rate
20 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

time dependence
augmentation
vortices
10 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

attraction
escape
trajectories
energy

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

42 Citations (Scopus)
oscillators
iteration
Iteration
Graphical Methods
Motion
13 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

4 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

2003
11 Citations (Scopus)

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

6 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

13 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

35 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

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

49 Citations (Scopus)

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

16 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

34 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

fractals
Effective Dimension
Escape Rate
Numerical Verification
Scaling Theory
31 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

Small-world Network
Vertex of a graph
Small World
Time-average
Analytical Model

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

15 Citations (Scopus)

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

Chaotic Map
Chaotic systems
Parameter Space
High-dimensional
Topology
25 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

complex systems
synchronism
Complex Systems
Synchronization
trajectories
45 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

attraction
scaling laws
intervals
scaling
2002
13 Citations (Scopus)

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

Controlling Chaos
Hyperchaotic System
chaos
synchronism
Synchronization
3 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