• 26255 Citations
1977 …2020

Research output per year

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Research Output

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

Nonlinear dynamics: a brief introduction

de Moura, A. P. S. & Grebogi, C., 12 Sep 2011, Handbook of Statistical Systems Biology. Stumpf, M., Girolami, M. & Balding, D. (eds.). Wiley-Blackwell , p. 331-338

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
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5 Downloads (Pure)

Nonlinear Dynamics

Grebogi, C., 1985, The role of supercomputers in energy research programs. Washington, DC: United States. Department of Energy, Vol. DOE-ER-0218. p. 79-88 10 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Nonlinear Dynamics and Quantum Entanglement in Optomechanical Systems

Wang, G., Huang, L., Lai, Y-C. & Grebogi, C., 18 Mar 2014, In : Physical Review Letters. 112, 11, 6 p., 110406.

Research output: Contribution to journalArticle

54 Citations (Scopus)

Nonlinear dynamics in the flexible shaft rotating–lifting system of silicon crystal puller using Czochralski method

Ren, H-P., Zhou, Z-X. & Grebogi, C., 4 Apr 2020, In : Nonlinear Dynamics. 14 p.

Research output: Contribution to journalArticle

File
2 Downloads (Pure)

NONLINEAR LANDAU DAMPING OF NONUNIFORM PUMP WAVE IN A MAGNETOPLASMA

TRIPATHI, V. K., LIU, C. S. & GREBOGI, C., 1977, In : Bulletin of the American Physical Society. 22, 9, p. 1139-1139 1 p.

Research output: Contribution to journalBook/Film/Article review

Nonlinear Theory of Collective Processes em Laser-Pellet Interaction and Soliton Generation

Chen, H. H., Grebogi, C., Liu, C. S. & Tripathi, V. K., 1979, Proceedings of the Seventh International Conference on Plasma Physics and Controlled Nuclear Fusion Research: (IAEA-CN-37/V-2-1). Vol. III. p. 181-186 6 p.

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

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

140 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

150 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

11 Citations (Scopus)

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

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
3 Citations (Scopus)
6 Downloads (Pure)

One-Way Hash Function Based on Delay-Induced Hyperchaos

Ren, H-P., Zhao, C-F. & Grebogi, C., 29 Feb 2020, In : International Journal of Bifurcation and Chaos. 30, 2, 14 p., 2050020.

Research output: Contribution to journalArticle

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)

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

9 Citations (Scopus)

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

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
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2 Citations (Scopus)
5 Downloads (Pure)

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

2 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

174 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

8 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

12 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

27 Citations (Scopus)

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

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

40 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

53 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)

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

29 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

151 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

13 Citations (Scopus)

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

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

2 Citations (Scopus)

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

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

9 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

156 Citations (Scopus)

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
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27 Citations (Scopus)
8 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
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10 Downloads (Pure)

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

92 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

16 Citations (Scopus)

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
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1 Citation (Scopus)
21 Downloads (Pure)

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

33 Citations (Scopus)

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
9 Citations (Scopus)
6 Downloads (Pure)

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

31 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

106 Citations (Scopus)