• 26256 Citations
1977 …2020

Research output per year

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Research Output

1989

Chaos, Strange Attractors, and Fractal Basin Boundaries

Grebogi, C., 1989, In : Transactions of the American Nuclear Society. 60, p. 346

Research output: Contribution to journalArticle

CHAOTIC ATTRACTORS ON A 3-TORUS, AND TORUS BREAK-UP

BATTELINO, P. M., GREBOGI, C., OTT, E. & YORKE, J. A., Oct 1989, In : Physica. D, Nonlinear Phenomena. 39, 2-3, p. 299-314 16 p.

Research output: Contribution to journalArticle

26 Citations (Scopus)

DIMENSIONS OF STRANGE NONCHAOTIC ATTRACTORS

DING, M. Z., GREBOGI, C. & OTT, E., 15 May 1989, In : Physics Letters A. 137, 4-5, p. 167-172 6 p.

Research output: Contribution to journalArticle

84 Citations (Scopus)

EFFECT OF ELECTROMAGNETIC-FIELDS ON CHARGED-PARTICLE BEAM LIMITING CURRENT

GREBOGI, C. & UHM, H. S., 27 Feb 1989, In : Physics Letters A. 135, 4-5, p. 280-283 4 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Evolution of attractors in quasiperiodically forced systems: From quasiperiodic to strange nonchaotic to chaotic

Ding, M., Grebogi, C. & Ott, E., 1 Mar 1989, In : Physical Review A. 39, 5, p. 2593-2598 6 p.

Research output: Contribution to journalArticle

158 Citations (Scopus)

EXPERIMENTAL-OBSERVATION OF CRISIS-INDUCED INTERMITTENCY AND ITS CRITICAL EXPONENT

DITTO, W. L., RAUSEO, S., CAWLEY, R., GREBOGI, C., HSU, G. H., KOSTELICH, E., OTT, E., SAVAGE, H. T., SEGNAN, R., SPANO, M. L. & YORKE, J. A., 28 Aug 1989, In : Physical Review Letters. 63, 9, p. 923-926 4 p.

Research output: Contribution to journalArticle

98 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

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

9 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

112 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

8 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

53 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

38 Citations (Scopus)
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

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

11 Citations (Scopus)

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

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

122 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

50 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

140 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

84 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

129 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

265 Citations (Scopus)
1987

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

3 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

195 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

178 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

467 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
177 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

41 Citations (Scopus)

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

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

8 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

88 Citations (Scopus)

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

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

110 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

13 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

42 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

67 Citations (Scopus)
1986

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

10 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

15 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

225 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

133 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

23 Citations (Scopus)

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)

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

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

94 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

83 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

499 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

4 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

6 Citations (Scopus)