Hyperchaotic signal generation via DSP for efficient perturbations to liquid mixing

International Journal of Circuit Theory and Applications

Volumn 37, Issue 1, 2009, Pages 31-41

  Zhang, Zhong ^a   Chen, Guanrong ^a   Yu, Simin ^b  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b GUANGDONG UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Chen's system; DSP; Hyperchaotic signal generation; Liquid mixing

Indexed keywords

COMPUTER SIMULATION; DIGITAL CIRCUITS; DIGITAL SIGNAL PROCESSORS; HARDWARE; MIXING; SIGNAL GENERATORS; SIGNAL PROCESSING;

CHEN'S SYSTEM; COMPLEX PERTURBATIONS; DESIGN PROCESS; DIGITAL SIGNALS; DISCRETIZATION; DSP; HARDWARE IMPLEMENTATIONS; HYPERCHAOTIC CIRCUITS; HYPERCHAOTIC MOTIONS; HYPERCHAOTIC SIGNAL GENERATION; LIQUID MIXING; NUMERICAL SIMULATIONS; RENORMALIZATION; SIGNAL OUTPUTS;

CHAOTIC SYSTEMS;

EID: 59749088832     PISSN: 00989886     EISSN: 1097007X     Source Type: Journal    
DOI: 10.1002/cta.470     Document Type: Article

References (18)

1. Lu J, Yu S, Leung H, Chen G. Experimental verification of multidirectional multiscroll chaotic attractors. IEEE Transactions on Circuits and Systems-I 2006; 53(1): 149-165.
2. Yu S, Lu J, Leung H, Chen G. Design and implementation of n-scroll chaotic attractors from a general jerk circuit. IEEE Transactions on Circuits and Systems-I 2005; 52(7):1459-1476.
3. Li Y, Tang WKS, Chen G. Generating hyperchaos via state feedback control. International Journal of Bifurcation and Chaos 2004; 15(10):3367-3375.
4. Földesy P, Zarándy Á, Rekeczky C, Roska T. Digital implementation of cellular sensor-computers. International Journal of Circuit Theory and Applications 2006; 34:409-428.
5. Nagy Z, Vörösházi Z, Szolgay P. Emulated digital CNN-UM solution of partial differential equations. International Journal of Circuit Theory and Applications 2006; 34:445-470.
6. Petrás I, Gilli M. Complex dynamics in one-dimensional CNNS. International Journal of Circuit Theory and Applications 2006; 34:3-20.
7. Kennedy MP, Rovatti R, Setti G (eds). Chaotic Electronics in Telecommunications. CRC Press: Bota Raton, FL, 2000.
8. Dmitriev A, Starkov S, Yemetz S. Chaotic communication using digital signal processors. 1998 International Symposium on Nonlinear Theory and its Applications, Crans-montana, Switzerland, September 1998; 1093-1096.
9. Sobhy MI, Aseeri MA, Shehata AER. Real time implementation of continuous (Chua and Lorenz) chaotic generator models using digital hardware. Communication Systems, Networks and Digital Signal Processing '2002, Staffordshire, U.K., July 2002; 38-41.
10. Alvarez-Hernández MM, Zalc JM, Shinbrot T, Arratia PE, Muzzio FJ. Mechanisms of mixing and creation of structure in laminar stirred tanks. The American Institute of Chemical Engineers Journal 2002; 48(10):2135- 2148.
11. Stroock AD, Dertinger SKW, Ajdari A, Mezić I, Stone HA, Whitesides GM. Chaotic mixer for microchannels. Science 2002; 295(5555):647- 651.
12. Balogh A, Aamo OM, Krstić M. Optimal mixing enhancement in 3-D pipe flow. IEEE Transactions on Control Systems Technology 2005; 13(1):27-37.
13. Rössler OE. An equation for hyperchaos. Physics Letters A 1979; 71(2-3):155-157.
14. Lü J, Chen G. A new chaotic system and beyond: the generalized Lorenz-like system. International Journal of Bifurcation and Chaos 2004; 14(5):1507-1537.
15. D'Alessandro D, Dahleh M, Mezić I. Control of mixing in fluid flow: a maximum entropy approach. IEEE Transactions on Automatic Control 1999; 44(10):1852-1863.
16. Alvarez-Hernández MM, Shinbrot T, Zalc J, Muzzio FJ. Practical chaotic mixing. Chemical Engineering Science 2002; 57:3749-3753.
17. Lamberto DJ, Alvarez MM, Muzzio FJ. Computational analysis of regular and chaotic mixing in a stirred tank reactor. Chemical Engineering Science 2001; 56(16):4887-4899.
18. Kusch HA, Ottino JM. Experiments on mixing in continuous chaotic flows. Journal of Fluid Mechanics 1992; 236:319-348.