Hugo L. Cavalcante, Post Doctoral Associate  

Office Location: 171 Physics
Office Phone: 919-660-2506
Email Address:

Nonlinear dynamics and complex systems
Atomic, molecular, and optical physics
Biological physics

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   (More Publications)   (search)

  1. 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] .
  2. 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] .
  3. Jhon F. Martinez Avila, Hugo L. D. de S. Cavalcante and J. R. Rios Leite, “Coarse 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].
  4. 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].
  5. 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 .

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.