John
Walker
Professor
Dept.
of Mechanical Engineering
Northwestern University
2145 Sheridan Road, Rm. L192
Evanston, IL 60208-3111, USA
TEL:
847-491-3544
FAX: 847-491-3915
jwalker@northwestern.edu
BS
Mechanical Engineering, University of Delaware(1961)
PhD Mechanical Engineering, University of Texas(1964) |
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Research: Stability analysis and dynamic behavior
Professor Walker is interested in applying both stability theory
and global analysis to physical systems described by nonlinear evolution
equations. Applications have been made to problems in mechanics,
fluid dynamics, control systems, and reaction processes. In order
to pursue his investigations, he has employed the functions of A.
M. Liapunov, the positive limit sets of G. D. Birkhoff, the invariance
principle of J. P. LaSalle, and some theoretical extensions of his
own. He is author of a book (1980) on this method of dynamic analysis.
Selected publications
Walker, J. A. 1988. Pseudodissipative systems I: Stability of generalized
equilibria. ASME Journal of Applied Mechanics 55(3): 681-86
Walker, J. A. 1989. Pseudodissipative systems II: Stability of
reduced equilibria. ASME Journal of Applied Mechanics 56(2): 466-73
Walker, J. A. 1990. Pseudodissipative systems III: Global Behavior.
Quarterly of Applied Math XLVIII(4): 665-78
Walker, J. A., 1996. Stability of Generalized Equilibria in Constrained
Pseudodissipative Systems. ASME J. Applied Mech., Vol. 63, No. 3,
pp. 603-60
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