• 25431 Citations
1977 …2019
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Research Output 1977 2019

Statistical-Analysis of Deterministic Orbits

Grebogi, C., Kaufman, A. N. & Abarbanel, H. D. I., 1980, In : Bulletin of the American Physical Society. 25, 8, p. 988 1 p.

Research output: Contribution to journalBook/Film/Article review

468 Citations (Scopus)

Strange Attractors that are not Chaotic

Grebogi, C., Ott, E., Pelikan, S. & Yorke, J. A., 1984, In : Physica. D, Nonlinear Phenomena. 13, 1-2, p. 261-268 8 p.

Research output: Contribution to journalArticle

Strange nonchaotic attractors in a nonsmooth dynamical system

Li, G., Yue, Y., Xie, J. & Grebogi, C., Nov 2019, In : Communications in Nonlinear Science and Numerical Simulation. 78, 104858.

Research output: Contribution to journalArticle

Strange attractor
Dynamical systems
Dynamical system
Gears
Excitation
128 Citations (Scopus)

Strange saddles and the dimensions of their invariant-manifolds

Hsu, G. H., Ott, E. & Grebogi, C., 22 Feb 1988, In : Physics Letters A. 127, 4, p. 199-204 6 p.

Research output: Contribution to journalArticle

Strange Saddles in Scattering Hamiltonian Systems

Hsu, G. H., Bleher, S., Grebogi, C. & Ott, E., 1991, em Essays on Classical and Quantum Dynamics . Gordon and Breach Science Publishers, p. 63-69

Research output: Chapter in Book/Report/Conference proceedingChapter

26 Citations (Scopus)

STRUCTURE AND CRISES OF FRACTAL BASIN BOUNDARIES

MCDONALD, S. W., GREBOGI, C., OTT, E. & YORKE, J. A., 1985, In : Physics Letters A. 107, 2, p. 51-54 4 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)
4 Downloads (Pure)

Structure and function in flow networks

Rubido, N., Grebogi, C. & Baptista, M. S., Mar 2013, In : Europhysics Letters. 101, 6, 5 p., 68001.

Research output: Contribution to journalArticle

Open Access
File
resilience
resistors
topology
electric potential

SUDDEN CHANGE IN THE SIZE OF CHAOTIC ATTRACTORS - HOW DOES IT OCCUR

LAI, Y. C., GREBOGI, C., YORKE, J. A. & Lai, Y-C., 1992, APPLIED CHAOS. Kim, JH. & Stringer, J. (eds.). NEW YORK: John Wiley & Sons Inc., p. 441-455 15 p.

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

ecology
chaotic dynamics
epidemiology
prediction
ecosystem
83 Citations (Scopus)

Super persistent chaotic transients

GREBOGI, C., OTT, E. & YORKE, J. A., Sep 1985, In : Ergodic Theory and Dynamical Systems. 5, 3, p. 341-372 32 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)
6 Downloads (Pure)

Superpersistent currents and whispering gallery modes in relativistic quantum chaotic systems

Xu, H., Huang, L., Lai, Y-C. & Grebogi, C., 11 Mar 2015, In : Scientific Reports. 5, 8 p., 8963.

Research output: Contribution to journalArticle

Open Access
File

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

4 Citations (Scopus)
17 Downloads (Pure)

Symmetry restoring bifurcations and quasiperiodic chaos induced by a new intermittency in a vibro-impact system

Yuan, Y., Miao, P., Xie, J. & Grebogi, C., Nov 2016, In : Chaos. 26, 11, 113121 .

Research output: Contribution to journalArticle

Open Access
File
Intermittency
intermittency
Chaos theory
chaos
Chaos
2 Citations (Scopus)
4 Downloads (Pure)

Synaptic Plasticity and Spike Synchronisation in Neuronal Networks

Borges, R. R., Borges, F. S., Lameu, E. L., Protachevicz, P. R., Iarosz, K. C., Caldas, I. L., Viana, R. L., Macau, E. E. N., Baptista, M. D. S., Grebogi, C. & Batista, A. M., Dec 2017, In : Brazilian Journal of Physics. 47, 6, p. 678-688 11 p.

Research output: Contribution to journalArticle

Open Access
File
spikes
plastic properties
synchronism
synapses
topology
16 Citations (Scopus)

SYNCHRONIZATION OF A CHAOTIC OPTICAL-SYSTEM USING CONTROL

LAI, Y. C., GREBOGI, C. & Lai, Y-C., 1993, CHAOS IN COMMUNICATIONS. Pecora, LM. (ed.). BELLINGHAM: SPIE - INT SOC OPTICAL ENGINEERING, p. 91-102 12 p.

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

141 Citations (Scopus)

SYNCHRONIZATION OF CHAOTIC TRAJECTORIES USING CONTROL

LAI, Y. C., GREBOGI, C. & Lai, Y-C., Apr 1993, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 47, 4, p. 2357-2360 4 p.

Research output: Contribution to journalArticle

27 Citations (Scopus)

SYNCHRONIZATION OF SPATIOTEMPORAL CHAOTIC SYSTEMS BY FEEDBACK-CONTROL

LAI, Y. C., GREBOGI, C. & Lai, Y-C., Sep 1994, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 50, 3, p. 1894-1899 6 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

TEMPORAL CROSSOVER FROM CLASSICAL TO QUANTUM BEHAVIOR - A MARKOV-CHAIN APPROACH

LAI, Y. C., OTT, E., GREBOGI, C. & Lai, Y-C., 1 Feb 1993, In : Physics Letters A. 173, 2, p. 148-152 5 p.

Research output: Contribution to journalArticle

THE 2-PLASMON INSTABILITY FOR LOW-TEMPERATURE AND INHOMOGENEOUS-PLASMA

GREBOGI, C. & MANHEIMER, W. M., Feb 1986, In : Plasma physics and controlled fusion. 28, 2, p. 439-451 13 p.

Research output: Contribution to journalArticle

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

70 Citations (Scopus)

The control of chaos: Theoretical schemes and experimental realizations

Arecchi, F. T., Boccaletti, S., Ciofini, M., Meucci, R. & Grebogi, C., Aug 1998, In : International Journal of Bifurcation and Chaos. 8, 8, p. 1643-1655 13 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

1 Citation (Scopus)

The emergence and evolution of cooperation on complex networks

Yang, H-X., Wang, W-X., Lai, Y-C. & Grebogi, C., Sep 2012, In : International Journal of Bifurcation and Chaos. 22, 9, 8 p., 1250228.

Research output: Contribution to journalArticle

40 Citations (Scopus)

THE GOODNESS OF ERGODIC ADIABATIC INVARIANTS

BROWN, R., OTT, E. & GREBOGI, C., Nov 1987, In : Journal of Statistical Physics. 49, 3-4, p. 511-550 40 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)

The impact of latent confounders in directed network analysis in neuroscience

Ramb, R., Eichler, M., Ing, A., Thiel, M., Weiller, C., Grebogi, C., Schwarzbauer, C., Timmer, J. & Schelter, B., 28 Aug 2013, In : Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences. 371, 1997, 20110612.

Research output: Contribution to journalArticle

neurology
network analysis
Granger Causality
Directed Network
Neuroscience
68 Citations (Scopus)

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

38 Citations (Scopus)

THEORY OF 1ST ORDER PHASE-TRANSITIONS FOR CHAOTIC ATTRACTORS OF NONLINEAR DYNAMICAL-SYSTEMS

OTT, E., GREBOGI, C. & YORKE, J. A., 6 Mar 1989, In : Physics Letters A. 135, 6-7, p. 343-348 6 p.

Research output: Contribution to journalArticle

The role of asymmetries in rock-paper-scissors biodiversity models

Timpanaro, A. M., Grebogi, C. & de Moura, A. P. S., 2014, XXXVI Encontro Nacional de Física da Matéria Condensada. SIBi

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

1 Citation (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

19 Citations (Scopus)

The topology of fluid flow past a sequence of cylinders

Kennedy, J., Sanjuan, M. A. F., Yorke, J. A. & Grebogi, C., 9 Jun 1999, In : Topology and its Applications. 94, 1-3, p. 207-242 36 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

Time-Variant Estimation of Connectivity and Kalman Filter

Sommerlade, L., Thiel, M., Platt, B., Plano, A., Riedel, G., Grebogi, C., Mader, W., Mader, M., Timmer, J. & Schelter, B. O., 2014, Methods in Brain Connectivity Inference through Multivariate Time Series Analysis. Baccalá, L. A. (ed.). CRC Press, p. 161–177 17 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Citations (Scopus)

Time-variant estimation of connectivity and Kalman's filter

Sommerlade, L., Thiel, M., Platt, B., Plano, A., Riedel, G., Grebogi, C., Mader, W., Mader, M., Timmer, J. & Schelter, B., 19 Apr 2016, Methods in Brain Connectivity Inference through Multivariate Time Series Analysis. Sameshima, K. & Baccala, L. A. (eds.). CRC Press, p. 161-177 17 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

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

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
10 Citations (Scopus)

Tracer dynamics in a flow of driven vortices

Witt, A., Braun, R., Feudel, F., Grebogi, C. & Kurths, J., Feb 1999, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 59, 2, p. 1605-1614 10 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)
6 Downloads (Pure)

Transient chaos - a resolution of breakdown of quantum-classical correspondence in optomechanics

Wang, G., Lai, Y-C. & Grebogi, C., 17 Oct 2016, In : Scientific Reports. 6, p. 1-13 13 p., 35381.

Research output: Contribution to journalArticle

Open Access
File
chaos
breakdown
paradoxes
scaling laws
signatures
81 Citations (Scopus)

Transition to chaotic scattering

Ding, M., Grebogi, C., Ott, E. & Yorke, J. A., 15 Dec 1990, In : Physical Review A. 42, 12, p. 7025-7040 16 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)
1 Citation (Scopus)
5 Downloads (Pure)
Open Access
File
Impulse Control
Chemotherapy
control theory
chemotherapy
Control theory
42 Citations (Scopus)
oscillators
iteration
Iteration
Graphical Methods
Motion
9 Downloads (Pure)

Uncovering hidden flows in physical networks

Wang, C., Grebogi, C. & Baptista, M. S., 31 Jul 2017, In : Europhysics Letters. 118, 5, p. 1-7 7 p., 58001.

Research output: Contribution to journalArticle

Open Access
File
grids
matrices
gases
water
interactions
8 Citations (Scopus)

Uncovering missing symbols in communication with filtered chaotic signals

Ren, H-P., Baptista, M. D. S. & Grebogi, C., Aug 2012, In : International Journal of Bifurcation and Chaos. 22, 8, 11 p., 1250199.

Research output: Contribution to journalArticle

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
26 Citations (Scopus)

Unified Formalism of Lower Hybrid Parametric-Instabilities in Plasmas

Tripathi, V. K., Grebogi, C. & Liu, C. S., 1977, In : Physics of Fluids. 20, 9, p. 1525-1534 10 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

Universal behavior in the parametric evolution of chaotic saddles

Lai, Y-C., Zyczkowski, K. & Grebogi, C., 1 May 1999, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 59, 5, p. 5261-5265 5 p.

Research output: Contribution to journalArticle

75 Citations (Scopus)

Universal behavior of impact oscillators near grazing incidence

Chin, W., Ott, E., Nusse, H. E. & Grebogi, C., 22 May 1995, In : Physics Letters A. 201, 2-3, p. 197-204 8 p.

Research output: Contribution to journalArticle