Welcome to the University of Miami Physics Departments Nonlinear Dynamics Laboratory Home page. NDL is a facility dedicated to experimental and theoretical study of nonlinear dynamics and chaos. Observations of real systems provides the basis for understanding how to avoid (or initiate) instabilities and chaotic oscillations.
We have reported on inert-gas plasmas at low fractional ionization, fluid droplet dynamics, electronic circuits, and computer simulations that all exhibit similar dynamics, namely transitions to chaos.
The theoretical understanding of these systems and their transitions to chaos is incomplete. As the physical processes are made evident, the theory is called upon to offer ever better descriptions of the rich physics found in the study of these nonlinear phenomena.
We hope you have as much fun looking at this material as we have generating it!
Below are a series of papers, publications, and presentations authored by NDL. Follow the text links for the html versions, or click on the associated image for the Adobe PDF versions. As most of the PDF files are very large we suggest you right click and download the PDF file prior to viewing the selected publication.
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J. F. Magnan, W. B. Pardo, Walkenstein J. A., Monti M., et al., "Video Based Analysis of Bifurcation Phenomena in Radio-Frequency-Excited Inert Gas Plasmas", Proceedings of the 2nd Experimental Chaos Conference, World Scientific Publishing Co. (1995). Here is the 16:36 streaming video of the talk. |
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J.A. Walkenstein, W. B. Pardo, H. S. Robertson and M. Monti, "An Inexpensive Hybrid Video Imaging System", Rev. Sci. lnstr. 66 11, (1995). |
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T. S. Johns, C. Cosner, W. B. Pardo, J. F. Magnan, J. A. Walkenstein, M. Monti, et al., "Bifurcation Analysis of Symmetrical Structures in Argon Plasma as Specified by Experimental Boundary Conditions", Proceedings of the 4th Experimental Chaos Conference, World Scientific Publishing Co. (1998). |
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T. Buch, W. B. Pardo, J. A. Walkenstein, M. Monti, and E. Rosa, Jr., "Experimental issues in the observation of water drop dynamics", Physics Letters A 248, 353 (1998). |
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Walkenstein, J. A., Pardo, W. B., Monti, M., and Rosa Jr., B., "Chaotic Moving Striations in Inert Gas Plasmas" Phys. Lett. A 261, 183 (1999). |
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Monti, M., Pardo, W. B., Walkenstein, J. A., Rosa Jr., E., and Grebogi, C., "Color Map of Lyapunov Exponents of Invariant Sets", Int. J. Bifurcation and Chaos 9, 1459 (1999). |
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Ticos, C. M., Rosa Jr., E., Pardo, W. B., Walkenstein, J. A.,Monti M., "Experimental Real Time Phase Synchronization of a Paced Chaotic Plasma Discharge", Phys. Rev. Lett. 85, 2929 (2000) |
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Rosa Jr., B., Pardo, W. B., Ticos, C. M., Walkenstein, J. A., Monti, M., "Phase Synchronization of Chaos in a Plasma Discharge Tube", Int. J. Bifurcation and Chaos 10, 2551 (2000). |
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Pardo, W. B., Rosa Jr., E., Ticos, C. M., Walkenstein, J. A., Monti, M., "Pacing a Chaotic Plasma with a Music Signal", Phys. Lett. A, A 284 , 259 (2001) |
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NDL invited talks, The 65th Annual Southeastern Section Meeting of the American Physical Society November 13-15, 1998 Miami, Florida |
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Simulation of the Lorenz Equations by Analog Circuits |
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Experimental Observation and Numerical Characterization of a Classical Wide Band Electronic Noise Source Presentation P64 at the 2nd Experimental Chaos Conference, 1993 |
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PC-Based Interactive 3D Animated Articulated Total Body Output An invited talk at the 1997 ATB Model Users' Group Conference |
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COLOR NIGHT VISION, A CRITICAL INFORMATION MULTIPLIER This paper was an invited presentation (and published in the proceedings) at the Aerospace Lighting Institute 1999 Conference. |
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COLOR NIGHT VISION SPECIFIC PERFORMANCE CHARACTERIZATION This paper was accepted for presentation (and publishing in the proceedings) by The International Society for Optical Engineering for the (07-11 July 2002 Seattle, WA) conference Vacuum and Solide State Photoelectronic Imagers (SPIE Code Number: 4796A-24). |
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Epaminondas Rosa, Catalin M. Ticos, William B. Pardo, Jonathan A. Walkenstein, Marco Monti. "Experimental Chua-Plasma Phase Synchronized Chaos" , Proceedings of the 7th Experimental Chaos Conference, World Scientific Publishing Co. |
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Experimental Phase Synchronization of Chaos in a Plasma Discharge |
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Epaminondas Rosa, Catalin M. Ticos, William B. Pardo, Jonathan A. Walkenstein, Marco Monti, and Jurgen Kurths. "Experimental Chua-Plasma Phase Synchronization of Chaos" , Physical Review E 68, 025202(R) (2003) |
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The Nonlinear Dynamics Laboratory University of Miami, Physics Department 1320 Campo Sano Drive Coral Gables, Florida 33146 |
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