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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)

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