• 25431 Citations
1977 …2019
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Research Output 1977 2019

4 Citations (Scopus)

Diffusion in randomly perturbed dissipative dynamics

Rodrigues, C. S., Chechkin, A. V., Moura, A. P. S. D., Grebogi, C. & Klages, R., 12 Nov 2014, In : Europhysics Letters. 108, 4, 40002.

Research output: Contribution to journalArticle

dynamical systems
random walk
attraction
escape
perturbation
2 Citations (Scopus)

Digital communication using controlled chaos: Theory and experiment

Hayes, S. & Grebogi, C., 1996, ISCAS 96: 1996 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS - CIRCUITS AND SYSTEMS CONNECTING THE WORLD, VOL 3. NEW YORK: Institute of Electrical and Electronics Engineers (IEEE), p. 170-173 4 p.

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

1 Citation (Scopus)

Digital underwater communication with chaos

Bai, C., Ren, H. P., Baptista, M. S. & Grebogi, C., 15 Jul 2019, In : Communications in Nonlinear Science and Numerical Simulation. 73, p. 14-24 11 p.

Research output: Contribution to journalArticle

Chaos theory
Chaos
Matched Filter
Matched filters
Communication
83 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

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

DOUBLE CRISES IN 2-PARAMETER DYNAMICAL-SYSTEMS

STEWART, H. B., UEDA, Y., GREBOGI, C. & YORKE, J. A., 25 Sep 1995, In : Physical Review Letters. 75, 13, p. 2478-2481 4 p.

Research output: Contribution to journalArticle

40 Citations (Scopus)

Double crises in two-parameter dynamical systems

Stewart, H. B., Ueda, Y., Grebogi, C. & Yorke, J. A., 1995, In : Physical Review Letters. 75, 13, p. 2478-2481 4 p.

Research output: Contribution to journalArticle

dynamical systems
apexes
curves
7 Citations (Scopus)

Driving Trajectories in Chaotic Systems

Grebogi, C. & Macau, E. E. N., 2001, In : International Journal of Bifurcation and Chaos. 11, p. 1423-1442 19 p.

Research output: Contribution to journalArticle

13 Citations (Scopus)

Driving trajectories in complex systems

Macau, E. E. N. & Grebogi, C., Apr 1999, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 59, 4, p. 4062-4070 9 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Dynamical collapse of trajectories

Biemond, J. J. B., de Moura, A. P. S., Grebogi, C., van de Wouw, N. & Nijmeijer, H., Apr 2012, In : Europhysics Letters. 98, 2, 5 p., 20001.

Research output: Contribution to journalArticle

Dynamical Collapse of Trajectories: Part II: Limit Set of a Horseshoe-like Map

Biemond, J. J. B., Moura, A. P. S., Grebogi, C., van de Wouw, N. & Nijmeijer, H., 2014, Proceedings of the 8th European Nonlinear Dynamics Conference (ENOC 2014). Technische Universiteit Eindhoven

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

Dynamical Collapse of Trajectories: Part I: Homoclinic Tangles in Systems with Dry Friction

Biemond, J. J. B., de Moura, A. P. S., Grebogi, C., van de Wouw, N. & Nijmeijer, H., 2014, Proceedings of the 8th European Nonlinear Dynamics Conference (ENOC 2014). Technische Universiteit Eindhoven

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

9 Citations (Scopus)

Dynamically Multilayered Visual System of the Multifractal Fly

Baptista, M. S., Grebogi, C. & Koberle, R., 27 Oct 2006, In : Physical Review Letters. 97, 17, 4 p.

Research output: Contribution to journalArticle

stimuli
alphabets
spiking
neurons
spikes
43 Citations (Scopus)

Dynamical properties of a simple mechanical system with a large number of coexisting periodic attractors

Feudel, U., Grebogi, C., Poon, L. & Yorke, J. A., 1998, In : Chaos, Solitons & Fractals. 9, 1-2, p. 171-180 10 p.

Research output: Contribution to journalArticle

Dynamics: A Brief Introduction

Moura, A. & Grebogi, C., 2011, Handbook of Statistical Systems Biology. Stumpf, M., Balding, D. J. & Girolami, M. (eds.). Wiley

Research output: Chapter in Book/Report/Conference proceedingChapter

31 Citations (Scopus)

Dynamics of an Henon-Lozi Type Map

Grebogi, C., Robert, C. & Aziz-Alaoui, M. A., 2001, In : Chaos, Solitons & Fractals. 12, p. 2323-2341 18 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)
8 Downloads (Pure)

Dynamics of delay induced composite multi-scroll attractor and its application in encryption

Ren, H-P., Bai, C., Tian, K. & Grebogi, C., Sep 2017, In : International Journal of Non-Linear Mechanics. 94, p. 334-342 9 p.

Research output: Contribution to journalArticle

Open Access
File
Encryption
Cryptography
Attractor
Composite
Time delay
17 Citations (Scopus)

Effective Dynamics in Hamiltonian Systems with Mixed Phase Space

Motter, A. E., de Moura, A. P. S., Grebogi, C. & Kantz, H., Mar 2005, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 71, 3, 5 p., 036215.

Research output: Contribution to journalArticle

Hamiltonian Systems
Hamiltonian Dynamics
Phase Space
Invariant
Hyperbolic Systems
2 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

43 Citations (Scopus)

Effect of epidemic spreading on species coexistence in spatial rock-paper-scissors games

Wang, W-X., Lai, Y-C. & Grebogi, C., Apr 2010, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 81, 4, 4 p., 046113.

Research output: Contribution to journalArticle

Effects of bounded random perturbations on discrete dynamical systems

Rodrigues, C. S., de Moura, A. P. S. & Grebogi, C., 2013, Bounded noises in physics, biology and engineering. d'Onofrio, A. (ed.). New York: Birkhäuser, p. 151-168 17 p. (Modeling and Simulation in Science, Engineering and Technology).

Research output: Chapter in Book/Report/Conference proceedingChapter

Random Perturbation
Discrete Dynamical Systems
Scattering
Random Maps
Singular Set

EFFECTS OF PLASMA DEPLETION ON STIMULATED BRILLOUIN-SCATTERING IN A PLASMA

GREBOGI, C. & LIU, C. S., 1978, In : Bulletin of the American Physical Society. 23, 7, p. 793-793 1 p.

Research output: Contribution to journalBook/Film/Article review

Effects of Plasma Depletion on the Stimulated Brillouin Scattering in a Plasma

Grebogi, C., 1978, Ph.D. Thesis "Parametric Instabilities in a Magnetized Plasma,": Report #79-029, Phys. Publication #79-060. U. of Md. Tech. , p. 60-67 8 p.

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

34 Citations (Scopus)

Efficient switching between controlled unstable periodic orbits in higher dimensional chaotic systems

Baretto, E., Kostelich, E. J., Grebogi, C., Ott, E. & Yorke, J. A., May 1995, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 51, 5, p. 4169-4172 4 p.

Research output: Contribution to journalArticle

15 Citations (Scopus)
4 Downloads (Pure)

Emergence of multicluster chimera states

Yao, N., Huang, Z-G., Grebogi, C. & Lai, Y-C., 9 Sep 2015, In : Scientific Reports. 5, 12988.

Research output: Contribution to journalArticle

Open Access
File
oscillators
dynamical systems
topology
shift
configurations
9 Citations (Scopus)
Dissipative Systems
Attractor
emerging
Chaotic Dynamical Systems
Structural Change

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

4 Citations (Scopus)
10 Downloads (Pure)

Entropy-based Generating Markov Partitions for Complex Systems

Rubido, N., Grebogi, C. & Baptista, M. S., Mar 2018, In : Chaos. 28, 3, p. 1-11 11 p., 033611.

Research output: Contribution to journalArticle

Open Access
File
Markov Partition
complex systems
Large scale systems
partitions
Complex Systems
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

35 Citations (Scopus)

Erosion of the Safe Basin for the Transversal Oscillations of a Suspension Bridge

Grebogi, C., Viana, R. L. & Freitas, M. S. T., 2003, In : Chaos, Solitons & Fractals. 18, p. 829-841 12 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)
4 Downloads (Pure)

Escape from attracting sets in randomly perturbed systems

Rodrigues, C. S., Grebogi, C. & de Moura, A. P. S., 20 Oct 2010, In : Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 82, 4, 5 p., 046217.

Research output: Contribution to journalArticle

Open Access
File
Perturbed System
escape
Escape Rate
Random Perturbation
Chaotic System
20 Citations (Scopus)

Escaping from nonhyperbolic chaotic attractors

Kraut, S. & Grebogi, C., 11 Jun 2004, In : Physical Review Letters. 92, 23, 4 p., 234101.

Research output: Contribution to journalArticle

escape
low noise
167 Citations (Scopus)

ESTIMATING CORRELATION DIMENSION FROM A CHAOTIC TIME-SERIES - WHEN DOES PLATEAU ONSET OCCUR

DING, M. Z., GREBOGI, C., OTT, E., SAUER, T. & YORKE, J. A., 15 Dec 1993, In : Physica. D, Nonlinear Phenomena. 69, 3-4, p. 404-424 21 p.

Research output: Contribution to journalArticle

18 Citations (Scopus)

Estimation of Chaotic and Regular (Stick-slip and Slip-slip) Oscillations Exhibited by Coupled Oscillators with Dry Friction

Grebogi, C., Dzyubak, L. & Awrejcewicz, J., 2005, In : Nonlinear Dynamics. 42, p. 383-394 11 p.

Research output: Contribution to journalArticle

87 Citations (Scopus)
Conditional probability
Recurrence
Asymmetry
asymmetry
Coupled System

Evolution of Attractor Boundaries in Two-Dimensional Noninvertible Maps

Chin, W., Kan, I. & Grebogi, C., 1993, In : Random and Computational Dynamics. 1, p. 349-370 22 p.

Research output: Contribution to journalArticle

154 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

19 Citations (Scopus)
4 Downloads (Pure)

Exact detection of direct links in networks of interacting dynamical units

Rubido, N., Marti, A. C., Bianco-Martinez, E., Grebogi, C., Baptista, M. D. S. & Masoller, C., Sep 2014, In : New Journal of Physics. 16, 093010.

Research output: Contribution to journalArticle

Open Access
File
cross correlation
inference
topology
complex systems
climate
1 Citation (Scopus)

Existence of chaos in the Chen system with linear time-delay feedback

Tian, K., Ren, H. P. & Grebogi, C., Aug 2019, In : International Journal of Bifurcation and Chaos. 29, 9, 1950114.

Research output: Contribution to journalArticle

Chen System
Homoclinic Orbit
Chaos theory
Linear Time
Time Delay

Experimental chaos II - Preface

Macau, E. E. N., Grebogi, C. & Kurths, J., 28 Feb 2008, In : Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences. 366, 1865, p. 489-491 3 p.

Research output: Contribution to journalEditorial

Experimental chaos I - Preface

Macau, E. E. N., Grebogi, C. & Kurths, J., 13 Feb 2008, In : Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences. 366, 1864, p. 315-317 3 p.

Research output: Contribution to journalEditorial

60 Citations (Scopus)

Experimental confirmation of the scaling theory for noise-induced crises

Sommerer, J. C., Ditto, W. L., Grebogi, C., Ott, E. & Spano, M. L., 15 Apr 1991, In : Physical Review Letters. 66, 15, p. 1947-1950 4 p.

Research output: Contribution to journalArticle

29 Citations (Scopus)

EXPERIMENTAL CONFIRMATION OF THE THEORY FOR CRITICAL EXPONENTS OF CRISES

SOMMERER, J. C., DITTO, W. L., GREBOGI, C., OTT, E. & SPANO, M. L., 25 Feb 1991, In : Physics Letters A. 153, 2-3, p. 105-109 5 p.

Research output: Contribution to journalArticle

255 Citations (Scopus)

Experimental Control of Chaos for Communication

Hayes, S., Grebogi, C., Ott, E. & Mark, A., 26 Sep 1994, In : Physical Review Letters. 73, 13, p. 1781-1784 4 p.

Research output: Contribution to journalArticle

95 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

Experimental Phase Separation Differential Chaos Shift Keying Wireless Communication Based on Matched Filter

Bai, C., Ren, H. P. & Grebogi, C., 2019, In : IEEE Access. 7, p. 25274 - 25287 13 p.

Research output: Contribution to journalArticle

Open Access
Matched filters
Chaos theory
Phase separation
Communication
Hybrid systems
26 Citations (Scopus)
7 Downloads (Pure)

Experimental Validation of Wireless Communication with Chaos

Ren, H-P., Bai, C., Liu, J., Baptista, M. S. & Grebogi, C., Aug 2016, In : Chaos. 26, 8, 083117.

Research output: Contribution to journalArticle

Open Access
File
Experimental Validation
wireless communication
Wireless Communication
Chaos theory
chaos
3 Citations (Scopus)
7 Downloads (Pure)

Experimental Wireless Communication Using Chaotic Baseband Waveform

Yao, J-L., Sun, Y-Z., Ren, H-P. & Grebogi, C., Jan 2019, In : IEEE Transactions on Vehicular Technology. 68, 1, p. 578-591 14 p.

Research output: Contribution to journalArticle

Open Access
File
Wireless Communication
Waveform
Chaos theory
Communication
Communication Systems
18 Citations (Scopus)

Exploiting the natural redundancy of chaotic signals in communication systems

Marino, I. P., Rosa, E. & Grebogi, C., 18 Sep 2000, In : Physical Review Letters. 85, 12, p. 2629-2632 4 p.

Research output: Contribution to journalArticle

27 Citations (Scopus)

Extensively chaotic motion in electrostatically-driven nanowires and applications

Chen, Q., Huang, L., Lai, Y-C., Grebogi, C. & Dietz, D., Feb 2010, In : IET Micro & Nano Letters. 10, 2, p. 406-413 8 p.

Research output: Contribution to journalArticle

Chaos theory
Nanowires
chaos
nanowires
random numbers