• 25431 Citations
1977 …2019
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Research Output 1977 2019

11 Citations (Scopus)
Effective Dimension
Equilibrium Distribution
Active Particles
fractals
Reaction Rate
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
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
9 Citations (Scopus)
5 Downloads (Pure)

Reconstructing direct and indirect interactions in networked public goods game

Han, X., Shen, Z., Wang, W-X., Lai, Y-C. & Grebogi, C., 22 Jul 2016, In : Scientific Reports. 6, p. 1-12 12 p., 30241.

Research output: Contribution to journalArticle

Open Access
File
games
interactions
complex systems
routes
optimization
4 Citations (Scopus)
33 Citations (Scopus)

RELATIVISTIC PONDEROMOTIVE HAMILTONIAN

GREBOGI, C. & LITTLEJOHN, R. G., 1984, In : Physics of Fluids. 27, 8, p. 1996-2004 9 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

RELATIVISTIC PONDEROMOTIVE HAMILTONIAN OF 2 INTERACTING ELECTROMAGNETIC-WAVES

GREBOGI, C., 1985, In : Physical Review A. 31, 2, p. 914-920 7 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Relativistic Quantum Chaos

Huang, L., Xu, H-Y., Grebogi, C. & Lai, Y-C., 17 Aug 2018, In : Physics Reports. 753, p. 1-128 128 p.

Research output: Contribution to journalArticle

chaos
graphene
Dirac equation
energy levels
spacing
7 Citations (Scopus)
4 Downloads (Pure)

Relativistic quantum chaos - An emergent interdisciplinary field

Lai, Y. C., Xu, H. Y., Huang, L. & Grebogi, C., 1 May 2018, In : Chaos. 28, 5, 22 p., 052101.

Research output: Contribution to journalArticle

Open Access
File
Quantum Chaos
Chaos theory
chaos
Chaos
Quantum Mechanics
31 Citations (Scopus)

Relativistic quantum level-spacing statistics in chaotic graphene billiards

Huang, L., Lai, Y-C. & Grebogi, C., May 2010, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 81, 5, 4 p., 055203.

Research output: Contribution to journalArticle

11 Citations (Scopus)
4 Downloads (Pure)

Resiliently evolving supply-demand networks

Rubido, N., Grebogi, C., Baptista, M. S. & Baptista, M. D. S., 9 Jan 2014, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 89, 1, 5 p., 012801.

Research output: Contribution to journalArticle

Open Access
File
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

3 Citations (Scopus)
6 Downloads (Pure)

Riddling: Chimera’s dilemma

Santos, V., Szezech Jr, J. D., Batista, A. M., Iarosz, K. C., Baptista, M. S., Ren, H. P., Grebogi, C., Viana, R. L., Caldas, I. L., Maistrenko, Y. L. & Kurths, J., Aug 2018, In : Chaos. 28, 8, 6 p., 081105.

Research output: Contribution to journalArticle

Open Access
File
Dilemma
Basin of Attraction
Fractals
Density of States
Initial conditions
180 Citations (Scopus)

Riddling bifurcation in chaotic dynamical systems

Lai, Y. C., Grebogi, C., Yorke, J. A., Venkataramani, S. C. & Lai, Y-C., 1 Jul 1996, In : Physical Review Letters. 77, 1, p. 55-58 4 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

26 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

196 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

5 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

Robustness of Chaos to Multipath Propagation Media

Baptista, M. S., Ren, H-P. & Grebogi, C., 2017, Chaotic Signals in Digital Communications. Eisencraft, M., Attux, R. & Suyama, R. (eds.). CRC Press

Research output: Chapter in Book/Report/Conference proceedingChapter

30 Citations (Scopus)

Role of intraspecific competition in the coexistence of mobile populations in spatially extended ecosystems

Yang, R., Wang, W-X., Lai, Y-C. & Grebogi, C., Jun 2010, In : Chaos. 20, 2, 6 p., 023113.

Research output: Contribution to journalArticle

81 Citations (Scopus)

Roundoff-induced periodicity and the correlation dimension of chaotic attractors

Grebogi, C., Ott, E. & Yorke, J. A., 1 Oct 1988, In : Physical Review A. 38, 7, p. 3688-3692 5 p.

Research output: Contribution to journalArticle

109 Citations (Scopus)

ROUTES TO CHAOTIC SCATTERING

BLEHER, S., OTT, E. & GREBOGI, C., 28 Aug 1989, In : Physical Review Letters. 63, 9, p. 919-922 4 p.

Research output: Contribution to journalArticle

29 Citations (Scopus)
40 Citations (Scopus)

SCALING BEHAVIOR OF WINDOWS IN DISSIPATIVE DYNAMICAL-SYSTEMS

YORKE, J. A., GREBOGI, C., OTT, E. & TEDESCHINILALLI, L., 1985, In : Physical Review Letters. 54, 11, p. 1095-1098 4 p.

Research output: Contribution to journalArticle

78 Citations (Scopus)

SCALING LAW FOR CHARACTERISTIC TIMES OF NOISE-INDUCED CRISES

SOMMERER, J. C., OTT, E. & GREBOGI, C., 15 Feb 1991, In : Physical Review A. 43, 4, p. 1754-1769 16 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

SCALING OF FRACTAL BASIN BOUNDARIES NEAR INTERMITTENCY TRANSITIONS TO CHAOS

PARK, B. S., GREBOGI, C., OTT, E. & YORKE, J. A., 1 Aug 1989, In : Physical Review A. 40, 3, p. 1576-1581 6 p.

Research output: Contribution to journalArticle

16 Citations (Scopus)

Scarring of Dirac fermions in chaotic billiards

Ni, X., Huang, L., Lai, Y-C. & Grebogi, C., 11 Jul 2012, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 86, 1, 8 p., 016702.

Research output: Contribution to journalArticle

2 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

oscillators
saddles
discontinuity
Orbits
nonlinearity
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
11 Citations (Scopus)
5 Downloads (Pure)

Secure Communication Based on Hyperchaotic Chen System with Time-Delay

Ren, H-P., Bai, C., Huang, Z-Z. & Grebogi, C., May 2017, In : International Journal of Bifurcation and Chaos. 27, 5, 15 p., 1750076.

Research output: Contribution to journalArticle

Open Access
File
Chen System
Hyperchaotic System
Secure Communication
Time Delay
Time delay
3 Citations (Scopus)
3 Downloads (Pure)

Self-adaptation of chimera states

Yao, N., Huang, Z-G., Ren, H. P., Grebogi, C. & Lai, Y-C., Jan 2019, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 99, 1, 6 p., 010201(R).

Research output: Contribution to journalArticle

Open Access
File
Self-adaptation
Perturbation
perturbation
Robustness
Optimal Location
92 Citations (Scopus)

Self-Organization and Chaos in a Fluidized Bed

Daw, C. S., Finney, C. E. A., Vasudevan, M., van Goor, N. A., Nguyen, K., Burns, D. D., Kostelich, E. J., Grebogi, C., OTT, E. & Yorke, J. A., 18 Sep 1995, In : Physical Review Letters. 75, 12, p. 2308-2311 4 p.

Research output: Contribution to journalArticle

Separatrix Crossing and Entropy Production

Kim, J. S., Abarbanel, H. D. I., Grebogi, C. & Kaufman, A. N., 1979, In : Bulletin of the American Physical Society. 24, 8, p. 942 1 p.

Research output: Contribution to journalBook/Film/Article review

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

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

Shadowing in Chaotic Systems

Poon, L., Dawson, S. P., Grebogi, C., Sauer, T. & Yorke, J. A., 1995, em Dynamical Systems and Chaos . Vol. 2. p. 13-21 (World Scientific).

Research output: Chapter in Book/Report/Conference proceedingChapter

200 Citations (Scopus)

Shadowing of physical trajectories in chaotic dynamics: Containment and refinement

Grebogi, C., Hammel, S. M., Yorke, J. A. & Sauer, T., 24 Sep 1990, In : Physical Review Letters. 65, 13, p. 1527-1530 4 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

7 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

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

13 Citations (Scopus)

SIMPLICIAL APPROXIMATION OF POINCARE MAPS OF DIFFERENTIAL-EQUATIONS

VAROSI, F., GREBOGI, C. & YORKE, J. A., 14 Sep 1987, In : Physics Letters A. 124, 1-2, p. 59-64 6 p.

Research output: Contribution to journalArticle

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

53 Citations (Scopus)

SPATIOTEMPORAL DYNAMICS IN A DISPERSIVELY COUPLED CHAIN OF NONLINEAR OSCILLATORS

UMBERGER, D. K., GREBOGI, C., OTT, E. & AFEYAN, B., 1 May 1989, In : Physical Review A. 39, 9, p. 4835-4842 8 p.

Research output: Contribution to journalArticle

SPECIAL ISSUE - STRUCTURE FORMATION IN CONTINUOUS DYNAMICAL-SYSTEMS - PREFACE

GREBOGI, C. & KURTHS, J., Oct 1995, In : Chaos, Solitons & Fractals. 5, 10, p. 1763-1763 1 p.

Research output: Contribution to journalEditorial

1 Citation (Scopus)

Spike-burst chimera states in an adaptive exponential integrate-and-fire neuronal network

Santos, M. S., Protachevicz, P. R., Iarosz, K. C., Caldas, I. L., Viana, R. L., Borges, F. S., Ren, H-P., Szezech, J. D., Batista, A. M. & Grebogi, C., Apr 2019, In : Chaos. 29, 4, 6 p., 043106.

Research output: Contribution to journalArticle

Neuronal Network
Burst
Spike
spikes
Neurons
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
56 Citations (Scopus)

STABILIZING CHAOTIC-SCATTERING TRAJECTORIES USING CONTROL

LAI, Y. C., TEL, T., GREBOGI, C. & Lai, Y-C., Aug 1993, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 48, 2, p. 709-717 9 p.

Research output: Contribution to journalArticle

Stabilizing Unstable Periodic Orbits in Chaotic Dynamical Systems Using Small Feedback Control

Grebogi, C. & Lai, Y. C., 1996, Proceedings of the Institute of Electrical Engineers Waseda Workshop. p. 83-97 15 p.

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

Statistical Analysis of a Deterministic Stochastic Orbit

Kaufman, A. N., Abarbanel, H. D. I. & Grebogi, C., 1980, Proceedings of the International Conference on Plasma Physics, Nagoya, Japão: Vol. II (Invited papers). p. 185-191 7 p.

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