• 25377 Citations
1977 …2019
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Research Output 1977 2019

1989
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

1988

BASIC SETS - SETS THAT DETERMINE THE DIMENSION OF BASIN BOUNDARIES

GREBOGI, C., NUSSE, H. E., OTT, E. & YORKE, J. A., 1988, In : Lecture notes in mathematics. 1342, p. 220-250 31 p.

Research output: Contribution to journalArticle

Calculation of limiting current in connection with application to gyrotron

Uhm, H. S. & Grebogi, C., 18 Nov 1988, In : Proceedings of SPIE. 1039, p. 233-234 2 p.

Research output: Contribution to journalArticle

Gyrotrons
Particle beams
Electric space charge
Electromagnetic fields
Electrostatics
11 Citations (Scopus)

CRITICAL EXPONENTS FOR POWER-SPECTRA SCALING AT MERGINGS OF CHAOTIC BANDS

ROMEIRAS, F., GREBOGI, C. & OTT, E., 1 Jul 1988, In : Physical Review A. 38, 1, p. 463-468 6 p.

Research output: Contribution to journalArticle

ENHANCEMENT OF LIMITING CURRENT OF CHARGED-PARTICLE BEAMS BY PONDEROMOTIVE ENERGY

GREBOGI, C. & UHM, H. S., May 1988, In : Physics of Fluids. 31, 5, p. 1277-1279 3 p.

Research output: Contribution to journalArticle

120 Citations (Scopus)

Fractal boundaries for exit in Hamiltonian dynamics

Bleher, S., Grebogi, C., Ott, E. & Brown, R., 15 Jul 1988, In : Physical Review A. 38, 2, p. 930-938 9 p.

Research output: Contribution to journalArticle

47 Citations (Scopus)

MULTIPLE COEXISTING ATTRACTORS, BASIN BOUNDARIES AND BASIC SETS

BATTELINO, P. M., GREBOGI, C., OTT, E., YORKE, J. A. & YORKE, E. D., Sep 1988, In : Physica. D, Nonlinear Phenomena. 32, 2, p. 296-305 10 p.

Research output: Contribution to journalArticle

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

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

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

263 Citations (Scopus)

Unstable periodic orbits and the dimensions of multifractal chaotic attractors

Grebogi, C., Ott, E. & Yorke, J. A., 1 Mar 1988, In : Physical Review A. 37, 5, p. 1711-1724 14 p.

Research output: Contribution to journalArticle

1987
2 Citations (Scopus)

Basin boundary metamorphoses: Changes in accessible boundary orbits

Grebogi, C., Ott, E. & Yorke, J. A., Nov 1987, In : Nuclear Physics B (Proceedings Supplements). 2, C, p. 281-300 20 p.

Research output: Contribution to journalArticle

orbits
fractals
saddles
causes
193 Citations (Scopus)

Basin boundary metamorphoses: Changes in accessible boundary orbits

Grebogi, C., Ott, E. & Yorke, J. A., Jan 1987, In : Physica. D, Nonlinear Phenomena. 24, 1-3, p. 243-262 20 p.

Research output: Contribution to journalArticle

168 Citations (Scopus)

Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics

Grebogi, C., Ott, E. & Yorke, J. A., 30 Oct 1987, In : Science. 238, 4827, p. 632-638 7 p.

Research output: Contribution to journalArticle

452 Citations (Scopus)

CRITICAL EXPONENTS FOR CRISIS-INDUCED INTERMITTENCY

GREBOGI, C., OTT, E., ROMEIRAS, F. & YORKE, J. A., 1 Dec 1987, In : Physical Review A. 36, 11, p. 5365-5380 16 p.

Research output: Contribution to journalArticle

172 Citations (Scopus)

Do numerical orbits of chaotic dynamical processes represent true orbits?

Hammel, S. M., Yorke, J. A. & Grebogi, C., Jun 1987, In : Journal of Complexity. 3, 2, p. 136-145 10 p.

Research output: Contribution to journalArticle

Open Access
Orbits
Orbit
Iterate
Shadowing Property
Hyperbolicity
40 Citations (Scopus)

ERGODIC ADIABATIC INVARIANTS OF CHAOTIC SYSTEMS

BROWN, R., OTT, E. & GREBOGI, C., 14 Sep 1987, In : Physical Review Letters. 59, 11, p. 1173-1176 4 p.

Research output: Contribution to journalArticle

Fractal basin boundaries

Grebogi, C., Ott, E. & Yorke, J. A., 1987, In : Lecture Notes in Physics. 278, p. 28-32

Research output: Contribution to journalArticle

6 Citations (Scopus)

FRACTAL BASIN BOUNDARIES WITH UNIQUE DIMENSION

GREBOGI, C., OTT, E., YORKE, J. A. & NUSSE, H. E., 29 May 1987, In : Annals of the New York Academy of Sciences. 497, p. 117-126 10 p.

Research output: Contribution to journalArticle

87 Citations (Scopus)

MULTI-DIMENSIONED INTERTWINED BASIN BOUNDARIES - BASIN STRUCTURE OF THE KICKED DOUBLE ROTOR

GREBOGI, C., KOSTELICH, E., OTT, E. & YORKE, J. A., 1987, In : Physica. D, Nonlinear Phenomena. 25, 1-3, p. 347-360 14 p.

Research output: Contribution to journalArticle

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
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

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

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

66 Citations (Scopus)

Unstable periodic orbits and the dimension of chaotic attractors

Grebogi, C., Ott, E. & Yorke, J. A., 1 Oct 1987, In : Physical Review A. 36, 7, p. 3522-3524 3 p.

Research output: Contribution to journalArticle

1986
10 Citations (Scopus)

BROADENING OF SPECTRAL PEAKS AT THE MERGING OF CHAOTIC BANDS IN PERIOD-DOUBLING SYSTEMS

BROWN, R., GREBOGI, C. & OTT, E., Sep 1986, In : Physical Review A. 34, 3, p. 2248-2254 7 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

Comment on ‘‘Sensitive dependence on parameters in nonlinear dynamics’’ and on ‘‘Fat fractals on the energy surface’’

Grebogi, C., Ott, E. & Yorke, J. A., 20 Jan 1986, In : Physical Review Letters. 56, 3, p. 266-266 1 p.

Research output: Contribution to journalArticle

221 Citations (Scopus)

Critical Exponent of Chaotic Transients in Nonlinear Dynamical Systems

Grebogi, C., Ott, E. & Yorke, J. A., 15 Sep 1986, In : Physical Review Letters. 57, 11, p. 1284-1287 4 p.

Research output: Contribution to journalArticle

130 Citations (Scopus)

Metamorphoses of Basin Boundaries in Nonlinear Dynamical Systems

Grebogi, C., Ott, E. & Yorke, J. A., 10 Mar 1986, In : Physical Review Letters. 56, 10, p. 1011-1014 4 p.

Research output: Contribution to journalArticle

22 Citations (Scopus)

MULTI-DIMENSIONED INTERTWINED BASIN BOUNDARIES AND THE KICKED DOUBLE ROTOR

GREBOGI, C., KOSTELICH, E., OTT, E. & YORKE, J. A., 17 Nov 1986, In : Physics Letters A. 118, 9, p. 448-452 5 p.

Research output: Contribution to journalArticle

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

1 Citation (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

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

Vlasov susceptibility of relativistic magnetized plasma and application to free‐electron lasers

Grebogi, C. & UHM, H. S., May 1986, In : Physics of Fluids. 29, 5, p. 1748-1749 2 p.

Research output: Contribution to journalArticle

1985
92 Citations (Scopus)

Attractors on an N-torus - Quasiperiodicity versus chaos

Grebogi, C., Ott, E. & Yorke, J. A., 1985, In : Physica. D, Nonlinear Phenomena. 15, 3, p. 354-373 20 p.

Research output: Contribution to journalArticle

81 Citations (Scopus)

EXTERIOR DIMENSION OF FAT FRACTALS

GREBOGI, C., MCDONALD, S. W., OTT, E. & YORKE, J. A., 1985, In : Physics Letters A. 110, 1, p. 14 4 p.

Research output: Contribution to journalArticle

487 Citations (Scopus)

Fractal basin boundaries

McDonald, S. W., Grebogi, C., Ott, E. & Yorke, J. A., Oct 1985, In : Physica. D, Nonlinear Phenomena. 17, 2, p. 125-153 29 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

GUIDING CENTER HAMILTONIAN THEORY OF FREE-ELECTRON LASERS

GREBOGI, C. & UHM, H. S., 1985, In : Physics of Fluids. 28, 6, p. 1984-1989 6 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Locally Coupled Evolution of Wave and Particle Distribution in General Magnetoplasma Geometry

McDonald, S. W., Grebogi, C. & Kaufman, A. N., 1985, In : Physics Letters A. 111, 1-2, p. 19-21 3 p.

Research output: Contribution to journalArticle

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

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

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

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

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

1984

An Obstacle to Predictability

McDonald, SW., Grebogi, C., Ott, E. & Yorke, J. A., 1984, Proceedings of the XIIIth International colloquium on group theoretical methods in physics. Zachary, WW. (ed.). Singapore: World Scientific , Vol. 18, 22. p. 71-74 4 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Fractal Basin Boundaries in Nonlinear Dynamical Systems

Grebogi, C., McDonald, S. W., Ott, E. & Yorke, J. A., 1984, Statistical Physics and Chaos in Fusion Plasmas: (Nonequilibrium Problems in the Physical Sciences and Biology). Horton Jr., C. W. & Reichl, L. E. (eds.). 1 ed. Wiley InterScience

Research output: Chapter in Book/Report/Conference proceedingChapter

Free-Electron Laser Guiding Center Hamiltonian

Grebogi, C. & UHM, H. S., 1984, Proceedings of the Ninth International Conference on Infrared and Millimeter Waves, Osaka, Japão. p. 1-2

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

High Harmonic Generation in High Power Lasers

Grebogi, C., Tripathi, V. K. & Chen, H. H., 1984, Laser Interaction and Related Plasma Phenomena. Hora, H. & Miley, G. H. (eds.). Plenum Press, Vol. 6. p. 401-415 15 p.

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

High power lasers
Harmonic generation
Plasmas
Plasma waves
Electrons

N-Frequency Quasiperiodicity and Chaos in Dissipative Dynamical Systems

Grebogi, C., Ott, E. & Yorke, J. A., 1984, Proceedings of the U.S.-Japan Workshop on Statistical Plasma Physics, Nagoya, Japão (1984). p. 71-74 4 p.

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

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