• 25431 Citations
1977 …2019
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Research Output 1977 2019

137 Citations (Scopus)

Numerical orbits of chaotic processes represent true orbits

Hammel, S. M., Yorke, J. A. & Grebogi, C., Oct 1988, In : Bulletin of the American Mathematical Society. 19, 2, p. 465-469 5 p.

Research output: Contribution to journalArticle

148 Citations (Scopus)

OBSTRUCTIONS TO SHADOWING WHEN A LYAPUNOV EXPONENT FLUCTUATES ABOUT ZERO

DAWSON, S., GREBOGI, C., SAUER, T. & YORKE, J. A., 3 Oct 1994, In : Physical Review Letters. 73, 14, p. 1927-1930 4 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

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

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

3 Citations (Scopus)
6 Downloads (Pure)

One node driving synchronisation

Wang, C., Grebogi, C. & Baptista, M. S., 11 Dec 2015, In : Scientific Reports. 5, 18091 .

Research output: Contribution to journalArticle

Open Access
File
synchronism
oscillators
resonant frequencies
frequency synchronization
phase shift
11 Citations (Scopus)
4 Downloads (Pure)

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
8 Citations (Scopus)

On the control of US Navy cranes

Levinet, J., Rouchon, P., Yuan, G., Grebogi, C., Hunt, B. R., Kostelich, E., Ott, E. & Yorke, J. A., 8 Apr 1997, ECC 1997 - European Control Conference. Institute of Electrical and Electronics Engineers Inc., p. 2829-2833 5 p. 7082539

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

Cranes
Collision avoidance
Motion planning

ON THE TENDENCY TOWARD ERGODICITY WITH INCREASING NUMBER OF DEGREES OF FREEDOM IN HAMILTONIAN SYSTEMS

HURD, L., GREBOGI, C. & OTT, E., 1994, HAMILTONIAN MECHANICS. Seimenis, J. (ed.). NEW YORK: PLENUM PRESS DIV PLENUM PUBLISHING CORP, p. 123-129 7 p.

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

2 Citations (Scopus)
3 Downloads (Pure)

Optimality in DNA repair

Richard, M. C., Fryett, M., Miller, S., Booth, I., Grebogi, C. & Moura, A., 7 Jan 2012, In : Journal of Theoretical Biology. 292, p. 39-43 5 p.

Research output: Contribution to journalArticle

Open Access
File
DNA repair
DNA Repair
Repair
Optimality
DNA
2 Citations (Scopus)

Optimized spectral estimation for nonlinear synchronizing systems

Sommerlade, L., Mader, M., Mader, W., Timmer, J., Thiel, M., Grebogi, C. & Schelter, B., 14 Mar 2014, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 89, 3, 032912 .

Research output: Contribution to journalArticle

Spectral Estimation
nonlinear systems
Nonlinear Systems
electromyography
Parkinson disease
164 Citations (Scopus)

Optimizing controllability of complex networks by minimum structural perturbations

Wang, W-X., Ni, X., Lai, Y-C. & Grebogi, C., 22 Feb 2012, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 85, 2, 5 p., 026115.

Research output: Contribution to journalArticle

8 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

12 Citations (Scopus)

Overarching framework for data-based modelling

Schelter, B., Mader, M., Mader, W., Sommerlade, L., Platt, B., Lai, Y., Grebogi, C. & Thiel, M., 20 Feb 2014, In : Europhysics Letters. 105, 3, 30004.

Research output: Contribution to journalArticle

rodents
biomarkers
stochastic processes
estimating
statistics
26 Citations (Scopus)

PARAMETRIC DECAY OF EXTRAORDINARY ELECTROMAGNETIC-WAVES INTO 2 UPPER HYBRID PLASMONS

GREBOGI, C. & LIU, C. S., 1980, In : Journal of plasma physics. 23, FEB, p. 147-156 10 p.

Research output: Contribution to journalArticle

Parametric Decay of Laser-Radiation in a Magneto-Plasma

Grebogi, C., Liu, C. S. & Tripathi, V. K., 1977, In : Bulletin of the American Physical Society. 22, 9, p. 1214 1 p.

Research output: Contribution to journalBook/Film/Article review

Parametric Decay of Lower Hybrid and Ion Cyclotron Waves of Finite Wavenumber in a Plasma

Tripathi, V. K., Liu, C. S. & Grebogi, C., 1978, Proceedings of the Third Topical Conference on Radio Frequency Plasma Heating.

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

Parametric Decay of Lower Hybrid and Ion-Cyclotron Waves of Finite Wavenumber in a Plasma

Tripathi, V. K., Liu, C. S. & Grebogi, C., 1978, In : Bulletin of the American Physical Society. 23, 5, p. 679 1 p.

Research output: Contribution to journalBook/Film/Article review

38 Citations (Scopus)

Parametric decay of lower hybrid waves in a plasma: Effect of ion nonlinearity

Tripathi, V. K., Liu, C. S. & Grebogi, C., Feb 1979, In : Physics of Fluids. 22, 2, p. 301-309 9 p.

Research output: Contribution to journalArticle

biological diversity
Biodiversity
games
Pattern Formation
Migration
52 Citations (Scopus)

Pattern formation, synchronization, and outbreak of biodiversity in cyclically competing games

Wang, W-X., Ni, X., Lai, Y-C. & Grebogi, C., Jan 2011, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 83, 1, 9 p., 011917.

Research output: Contribution to journalArticle

12 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

4 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

Circle Map
Winding number
Phase Locking
Control Algorithm
Devil's Staircase
29 Citations (Scopus)

Phase-locking in quasiperiodically forced systems

Feudel, U., Grebogi, C. & Ott, E., Nov 1997, In : Physics Reports. 290, 1-2, p. 11-25 15 p.

Research output: Contribution to journalArticle

85 Citations (Scopus)
149 Citations (Scopus)

Plateau onset for correlation dimension: When does it occur?

Ding, M., Grebogi, C., Ott, E., Sauer, T. & Yorke, J. A., 21 Jun 1993, In : Physical Review Letters. 70, 25, p. 3872-3875 4 p.

Research output: Contribution to journalArticle

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

Pointwise Dimension and Unstable Periodic Orbits

Grebogi, C., Ott, E. & Yorke, J. A., 1991, Essays on Classical and Quantum Dynamics: A Festschrift in Honor of Albert W.Saenz . Ellison, J. A. & Uberall, H. (eds.). Gordon & Beach, p. 57-62 6 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Pondermotive confinement of ion beams in a cylindrical waveguide

Grebogi, C. & Uhm, H. S., 1986, Proceedings of the Heavy Ion Fusion Symposium: AIP Conference Proceedings. AIP Conference Proceedings, Vol. 152. p. 309-313 5 p.

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

2 Citations (Scopus)

PONDEROMOTIVE CONFINEMENT OF CHARGED-PARTICLE BEAMS IN A CYLINDRICAL WAVE-GUIDE

GREBOGI, C. & UHM, H. S., Nov 1986, In : Physical Review A. 34, 5, p. 4083-4090 8 p.

Research output: Contribution to journalArticle

Ponderomotive effects on charged particle beam limiting current

Grebogi, C. & Uhm, H. S., 1989, Proceedings of the 1989 IEEE Particle Accelerator Conference, 1989. Accelerator Science and Technology. Bennett, F. & Kopta, J. (eds.). New York: Institute of Electrical and Electronics Engineers (IEEE), p. 1032-1034 3 p.

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

Ponderomotive Enhancement of Charged Particle Beam Limiting Current

Grebogi, C. & Uhm, H. S., 1987, Proceedings of the 1987 IEEE Particle Accelerator Conference: Accelerator Engineering and Technology. Lindstrom, E. R. & Taylor, L. S. (eds.). IEEE Press, p. 1093-1095 3 p.

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

Particle beams
Charged particles
Electric space charge
Waveguides
9 Citations (Scopus)

Predictability in time series

Salvino, L. W., Cawley, R., Grebogi, C. & Yorke, J. A., 25 Dec 1995, In : Physics Letters A. 209, 5-6, p. 327-332 6 p.

Research output: Contribution to journalArticle

137 Citations (Scopus)

Predicting Catastrophes in Nonlinear Dynamical Systems by Compressive Sensing

Wang, W-X., Yang, R., Lai, Y-C., Kovanis, V. & Grebogi, C., 15 Apr 2011, In : Physical Review Letters. 106, 15, 4 p., 154101.

Research output: Contribution to journalArticle

19 Citations (Scopus)
6 Downloads (Pure)

Predicting tipping points in mutualistic networks through dimension reduction

Jiang, J., Huang, Z-G., Seager, T. P., Lin, W., Grebogi, C., Hastings, A. & Lai, Y-C., Jan 2018, In : PNAS. 115, 4, p. 639-647 9 p.

Research output: Contribution to journalArticle

Open Access
File
Ecology
Climate
Ecosystem
Economics
7 Downloads (Pure)

Preface - Personal perspectives in nonlinear science: Looking back, looking forward

Grebogi, C., Govindarajan, R., Gross, T., Lakshmanan, M., Mindlin, G. B., Roy, R. & Sreenivasan, K. R., 1 Dec 2017, In : Indian Academy of Sciences Conference Series. 1, 1, p. vii-xvi 10 p.

Research output: Contribution to journalArticle

Open Access
File
88 Citations (Scopus)

Preference of attractors in noisy multistable systems

Kraut, S., Feudel, U. & Grebogi, C., May 1999, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 59, 5, p. 5253-5260 8 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

12 Downloads (Pure)

Quantitative assessment of cerebral connectivity deficiency and cognitive impairment in children with prenatal alcohol exposure

Gao, L., Grebogi, C., Lai, Y-C., Stephen, J., Zhang, T., Li, Y., Ren, H., Li, D., Wang, J., Schelter, B. & Sommerlade, L., Apr 2019, In : Chaos. 29, 4, 041101 .

Research output: Contribution to journalArticle

Open Access
File
impairment
Alcohol
Connectivity
alcohols
Alcohols
30 Citations (Scopus)

Quantum chaotic scattering in graphene systems

Yang, R., Huang, L., Lai, Y-C. & Grebogi, C., May 2011, In : Europhysics Letters. 94, 4, 5 p., 40004.

Research output: Contribution to journalArticle

8 Citations (Scopus)
6 Downloads (Pure)

Quantum chaotic scattering in graphene systems in the absence of invariant classical dynamics

Wang, G-L., Ying, L., Lai, Y-C. & Grebogi, C., 15 May 2013, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 87, 5, 9 p., 052908.

Research output: Contribution to journalArticle

Open Access
File
23 Citations (Scopus)

Quantum manifestation of a synchronization transition in optomechanical systems

Ying, L., Lai, Y-C. & Grebogi, C., 5 Nov 2014, In : Physical Review A. 90, 5, 6 p., 053810.

Research output: Contribution to journalArticle

102 Citations (Scopus)

QUANTUM MANIFESTATIONS OF CHAOTIC SCATTERING

LAI, Y. C., BLUMEL, R., OTT, E., GREBOGI, C. & Lai, Y-C., 15 Jun 1992, In : Physical Review Letters. 68, 24, p. 3491-3494 4 p.

Research output: Contribution to journalArticle

110 Citations (Scopus)

QUASI-PERIODICALLY FORCED DYNAMIC-SYSTEMS WITH STRANGE NONCHAOTIC ATTRACTORS

ROMEIRAS, F. J., BONDESON, A., OTT, E., ANTONSEN, T. M. & GREBOGI, C., 1987, In : Physica. D, Nonlinear Phenomena. 26, 1-3, p. 277-294 18 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)

QUASIPERIODIC FORCING AND THE OBSERVABILITY OF STRANGE NONCHAOTIC ATTRACTORS

ROMEIRAS, F. J., BONDESON, A., OTT, E., ANTONSEN, T. M. & GREBOGI, C., Sep 1989, In : Physica Scripta. 40, 3, p. 442-444 3 p.

Research output: Contribution to journalArticle

Quasiperiodicity and Chaos

Grebogi, C., Ott, E. & Yorke, J. A., 1984, Group Theoretical Methods in Physics: Proceedings of the 13th International Colloquium on Group Theoretical Methods in Physics. Zachary, W. W. (ed.). World Scientific , p. 108-110 3 p.

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

2 Citations (Scopus)
3 Downloads (Pure)

Quasiperiodicity and suppression of multistability in nonlinear dynamical systems

Lai, Y-C. & Grebogi, C., Jun 2017, In : The European Physical Journal. Special Topics. 226, 9, p. 1703-1719 17 p.

Research output: Contribution to journalArticle

Open Access
File
Nonlinear dynamical systems
Chaos theory
dynamical systems
attraction
chaos
36 Citations (Scopus)

Queueing phase transition: Theory of Translation

Romano, M. C., Thiel, M., Stansfield, I. & Grebogi, C., 15 May 2009, In : Physical Review Letters. 102, 19, 4 p., 198104.

Research output: Contribution to journalArticle

proteins
configurations

Radio-wave communication with chaos

Ren, H-P., Zheng, W-Y. & Grebogi, C., 18 Nov 2018, (Submitted) In : arXiv.

Research output: Contribution to journalArticle

Radio waves
Chaos theory
Communication systems
Matched filters
Communication
6 Citations (Scopus)

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

rainbows
Scattering
Cross section
Singularity
scattering
12 Citations (Scopus)

Random fluctuation leads to forbidden escape of particles

Rodrigues, C., de Moura, A. P. S. & Grebogi, C., 27 Aug 2010, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 82, 2, 6 p., 026211.

Research output: Contribution to journalArticle

escape
trajectories
Trajectory
Fluctuations
Scattering