Why are some hysteresis loops shaped like a butterfly?

Proceedings of the American Control Conference

Volumn , Issue , 2009, Pages 3977-3982

  Drincic, Bojana ^a   Bernstein, Dennis S ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED CURVE; HYSTERESIS MAP; INPUT OUTPUT MAP; OUTPUT VARIABLES; TWO-BAR LINKAGE;

DAMPING; FERROELECTRIC MATERIALS; HYSTERESIS; MAGNETIC MATERIALS; STIFFNESS;

HYSTERESIS LOOPS;

EID: 70449659456     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2009.5159959     Document Type: Conference Paper

References (15)

1. D. S. Bernstein, "Ivory ghost," IEEE Control Systems Magazine, pp. 16-17, October 2007.
2. J. Oh and D. S. Bernstein, "Semilinear Duhem model for rateindependent and rate-dependent hysteresis," IEEE Trans. Autom. Contr., vol. 50, pp. 631-645, 2005.
3. H. Sahota, "Simulation of butterfly loops in ferroelectric materials," Continuum Mechanics and Thermodynamics, vol. 16, pp. 163-175, February 2004.
4. F. Davi, "On domain switching in deformable ferroelectrics, seen as continua with microstructure," Zeitschrift fr Angewandte Mathematik und Physik, vol. 52, no. 6, pp. 966-989, November 2001.
5. C. F. Marki, D. R. Jorgesen, H. Zhang, P. Wen, and S. C. Esener, "Observation of counterclockwise, clockwise and butterfly bistability in 1550 nm VCSOAs," Optics Express, vol. 15, no. 8, pp. 4953-4959, April 2007.
6. S. Ducharme, A. V. Bune, L. M. Blinov, V. M. Fridkin, S. P. Palto, A. V. Sorokin, and S. G. Yudin, "Critical point in ferroelectric Langmuir-Blodgett polymer films," Physical Review B, vol. 57, no. 1, pp. 25-28, January 1998.
7. I. Chiorescu, W. Wernsdorfer, A. Muller, H. Bogge, and B. Barbara, "Butterfly hysteresis loop and dissipative spin reversal in the S = 1 2 , V15 molecular complex," Physical Review Letters, vol. 84, no. 15, pp. 3454-3457, April 2000.
8. J. Li and G. J. Weng, "A micromechanics-based hysteresis model for ferroelectric ceramics," Journal of Intelligent Material Systems and Structures, vol. 12, pp. 79-91, February 2001.
9. N. Ebine and K. Ara, "Magnetic measurement to evaluate material properties of ferromagnetic structural steels with planar coils," IEEE Transaction on Magnetics, vol. 35, no. 5, pp. 3928-3930, September 1999.
10. P. Pakdeevanich and M. J. Adams, "Measurements and modeling of reflective bistability in 1.55-μm laser diode amplifiers," IEEE Journal of Quantum Electronics, vol. 35, no. 12, pp. 1894-1903, December 1999.
11. O. Pietzsch, A. Kubetzka, M. Bode, and R. Wiesendanger, "Observation of magnetic hysteresis at the nanometer scale by spin-polarized scanning tunneling spectroscopy," Science, vol. 292, pp. 2053-2056, June 2001.
12. M. Kamlah and C. Tsakmakis, "Phenomenological modeling of the non-linear electro-mechanical coupling in ferroelectrics," International Journal of Solids and Structures, vol. 36, no. 12, pp. 669-695, 1999.
13. G. J. Simitses, An Introduction to the Elastic Stability of Structures. Englewood Cliffs, NJ: Prentice Hall, 1967.
14. A. K. Padthe, N. A. Chaturvedi, D. S. Bernstein, S. P. Bhat, and A. M. Waas, "Feedback stabilization of snap-through buckling in a preloaded two-bar linkage with hysteresis," Int. J. Non-Linear Mech., vol. 43, pp. 277-291, 2008.
15. J. Oh and D. S. Bernstein, "Step-convergence analysis of nonlinear feedback hysteresis models," in Proc. Amer. Contr. Conf., Portland, OR, June 2005, pp. 697-702.