**Office Location:** 171 Physics**Office Phone:** 919-660-2506**Email Address:** hc71@phy.duke.edu

**Specialties:**

Nonlinear dynamics and complex systems

Atomic, molecular, and optical physics

Biological physics

**Education:**

DSc in Physics, Universidade Federal de Pernambuco, Recife, Brazil, 2003

MSc in Physics, Universidade Federal de Pernambuco, Recife, Brazil, 1999

BSc in Physics, Universidade Federal de Pernambuco, Recife, Brazil, 1997

**Research Categories:** *Nonlinear Dynamics, Chaos, Complex Systems*

**Current projects:**
MURI - Exploiting Nonlinear Dynamics for Novel Devices

**Research Description:** We are studying networks of radio-frequency elements consisting nonlinear units with delayed feedback. Those elements can be modeled using time delay differential equations or Boolean Delay Equations. The devices are low-cost and generate oscillations in the very-high to ultra-high frequency bands (0.1 - 2 GHz). The oscillations can be tuned to be periodic, quasi-periodic or chaotic, and can cover a ultra-wide band of frequency. A radio signal generated with these devices has low-profile, low-probability of interception and has potential applications in the development of sensors, like through-wall imaging, chaotic radar, intrusion detection, etc.
The study of complex networks is also relevant for systems biology, for instance in neural networks, or gene regulatory networks

**Areas of Interest:**

Nonlinear Dynamics and Chaos

Complex Systems

Ultra-Fast Electronics

Optics and Atomic Physics

**Representative Publications**
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- Hugo L. D. de Souza Cavalcante, Daniel J. Gauthier,J. E. S. Socolar and R. Zhang,
*On the origin of chaos in autonomous Boolean networks*, Philos. Trans. R. Soc. A, vol. 368 (2010), pp. 495-513 [doi] . - Rui Zhang, Hugo L. D. de Souza Cavalcante, Zheng Gao, Daniel J. Gauthier, Joshua E. S. Socolar, Matthew M. Adams, and Daniel P. Lathrop,
*Boolean chaos*, Phys. Rev. E, vol. 80 no. 4 (October, 2009), pp. 045202, American Physical Society [doi] . - Jhon F. Martinez Avila, Hugo L. D. de S. Cavalcante and J. R. Rios Leite,
*â€śCoarse Grained Variables and Deterministic Chaos in an Excitable System*, Physical Review Letters, vol. 100 no. 4 (January 28, 2008), pp. 044101, APS [PhysRevLett.100.044101] [abs]. - H. L. D. de S. Cavalcante and J. R. Rios Leite,
*Experimental bifurcations and homoclinic chaos in a laser with a saturable absorber*, edited by AIP, Chaos, vol. 18 no. 2 (April 22, 2008), pp. 023107 [1] [abs]. - Julien Chabe, Hans Lignier, Hugo L. D. de S. Cavalcante, Dominique Delande, Pascal Szriftgiser, and Jean Claude Garreau,
*Quantum Scaling Laws in the Onset of Dynamical Delocalization*, Physical Review Letters, vol. 97 no. 26 (December 31, 2006), pp. 264101 .

**Highlight:**

With a background in Nonlinear Dynamics and Chaos, we are working on ultra-fast electronic circuits with high-dimensional chaos. The goal is to apply properties of chaos and nonlinear dynamics to improve operating characteristic over traditional applications. Spin-offs include a better understanding of Radio-Frequency electronics, complex networks, etc.