Robust and efficient interaction with complex systems

Proceedings of the IEEE International Conference on Systems, Man and Cybernetics

Volumn 2, Issue , 2003, Pages 2029-2034

  Foster, Glenn C ^a   Hubler, Alfred W ^a  

^a United States of America   (United States)

Author keywords

Chaos; Optimal control; Resonance; System identification

Indexed keywords

CHAOS THEORY; DEGREES OF FREEDOM (MECHANICS); DYNAMICS; IDENTIFICATION (CONTROL SYSTEMS); OPTIMAL CONTROL SYSTEMS;

CHAOTIC MAP DYNAMICS; FORCING FUNCTIONS; PERIODICITY;

LARGE SCALE SYSTEMS;

EID: 0242552920     PISSN: 08843627     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (25)

1. R. H. Abraham and C. D. Shaw, "Dynamics - The Geometry of Behavior", Ariel Press, Santa Cruz, 1981, p171.
2. L. E. Arsenault, A. W. Hubler, "Dynamics of Damped Coupled Oscillators Near Resonance", Phys. Rev. E, Vol. 51, 3561-3571 (1995)
3. N. Bohr, in "Encyclopedia of Physics", edited by R. G. Lerner and G. L. trig, VCH, New York, 1991, p. 248.
4. I. N. Bronhstein and K.A. Semendyayev, "Handbook of Mathematics", Detsch Verlag, Thun, 1985, p. 349.
5. J. J. Brophy, Basic Electronics for Scientists, McGraw-Hill, Singapore, 1984.
6. D. N. Burges, "Modern Introduction to Classical Mechanics", Halsted Press, New york, 1975.
7. W. E. Byerly, "Introduction to the Calculus of Variations", Harvard University Press, Cambridge, 1917.
8. K. Chang, A. Kodogeorgiou, A. W. Hubler, and E. A. Jackson, "General Resonance Spectroscopy", Physica D, Vol. 51, pp. 99-108, 1991.
9. A. D. Davis, "Classical Mechanics", Academic Press, Orlando, 1986.
10. T. Eisenhammer, A. W. Hubler, T. Geisel, and E. Luscher, "Scaling Behavior of the Maximum Energy Exchange between Coupled Anharmonic Oscillators" Phys. Rev. A, Vol 41, pp. 3332-3342, 1990.
11. T. Eisenhammer, A. W. Hubler, G. Mayer-Kress, and P. W. Milonni, "Optimal Stimulation of a Conservative Nonlinear Oscillator: Classical and Quantum-mechanical Calculations", Phys.Rev.Lett., Vol 69, pp. 430-434, 1992.
12. L. Glass and M. C. Mackey, "From Clocks to Chaos", Princton Press, Princeton, 1988.
13. J. Guckenheimer and P. Holmes, "Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields", Springer, New York, 1983, p. 173.
14. H. Haken, "Synergetics", Springer, New York, 1983.
15. A. W. Hubler, "Modelling and Control of Nonlinear Systems", Ph.D. thesis, Department of Physics, Technical University of München, 1987.
16. A. W. Hubler, U. Kuhl, R. Wittmann, T. Nagata, "Sharp Diffraction Peaks from Chaotic Structures", Chaos, Vol 7, pp. 577-589, 1997.
17. E. A. Jackson, "Perspectives of Nonlinear Dynamics", Vol. 1, Cambridge University Press, Cambridge, 1989.
18. A. J. Lichtenberg and M. A. Lieberman, "Regular and Stochastic Motion", Springer, New York, 1991, p. 385.
19. H. Margenau and G. Murphy, "Die Mathematik für Physik und Chemie", Deutsch Verlag, Frankfurt, 1965, p.269.
20. A. H. Nayfeh and D. T. Mook, "Nonlinear Oscillations", Wiley, New York, 1979, p. 163.
21. B. Plapp, and A. W. Hubler, "Nonlinear Resonances and Suppression of Chaos in the rf-Biased Josephson Junction", Phys.Rev.Lett, Vol 65, pp. 2303-2306, 1990.
22. R. J. Seeger, "Galileo, His Life and His Works", Pergamon, Oxford, 1966, p 177.
23. M. R. Spiegel, "Schaum's outline of Theory and Problems of Theoretical Mechanics", McGraw-Hill, New York, 1980, p.90.
24. C. Wargitsch and A. W. Hubler, Resonances of Nonlinear Oscillators", Phys. Rev. E, Vol. 51, No. 2, pp.1508-1519, Feb. 1995.
25. E. Wigner, in "Encyclopedia of Physics", edited by R. G. Lerner and G. L. Trigg, VCH, New York, 1991, p.337.