Richard McGehee

Publications

Journal Articles

R. McGehee, A stable manifold theorem for degenerate fixed points with applications to celestial mechanics, J. Differential Equations 14 (1973), 70-88.

R. McGehee & K. Meyer, Homoclinic points of area-preserving diffeomorphisms, Amer. J. Math. 96 (1974), 409-421.

R. McGehee, Triple collision in the collinear three-body problem, Inventiones Math. 27 (1974), 191-227.

R. Armstrong & R. McGehee, Coexistence of two competitors on one resource, J. Theor. Biol. 56 (1976), 449-502.

R. Armstrong & R. McGehee, Coexistence of species competing for shared resources, Theor. Pop. Biol. 9 (1976), 317-328.

R. McGehee & R. Armstrong, Some mathematical problems concerning the ecological principle of competitive exclusion, J. Differential Equations 23 (1977), 30-52.

R. Easton & R. McGehee, Homoclinic phenomena for orbits doubly asymptotic to an invariant three sphere, Indiana U. Math. J. 28 (1979), 211-240.

R. Armstrong & R. McGehee, Competitive exclusion, The American Naturalist 15 (1980), 151-170.

R. McGehee, Double collisions for a classical particle system with nongravitational interaction, Comment. Math. Helvetici 56 (1981), 524-557.

D. G. Aronson, M. A. Chory, G. R. Hall, & R. P. McGehee, Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study, Comm. Math. Phys. 83 (1982), 304-354.

D. Aronson, R. McGehee, R. Aris, & I. Kevrekidis, Entrainment regions for periodically forced oscillators, Phys. Rev. A 33 (1986), 2190-2192.

R. McGehee, Von Zeipel's theorem on singularities in celestial mechanics, Expositiones Mathematicae 4 (1986), 335-345.

R. McGehee, Charles C. Conley 1933-1984, Ergodic Theory and Dynamical Systems 8* (1988), 1-7.

R. McGehee, Attractors for closed relations on compact Hausdorff spaces, Indiana U. Math. J. 41 (1992), 1165-1209.

R. McGehee & B. Peckham, Resonance surfaces for forced oscillators, Experimental Math. 3 (1994), 223-244.

R. McGehee & Evelyn Sander, A new proof of the stable manifold theorem, Z. angew. Math. Phys. 47 (1996), 497-513.

R. McGehee & B. Peckham, Arnold flames and resonance surface folds, International Journal of Bifurcation and Chaos 6 (1996), 315-336.

R. McGehee & T. Wiandt, Conley Decomposition for Closed Relations, Journal of Difference Equations and Applications 12, (2006), 1-47.

R. McGehee, Parabolic orbits in the three-body problem, Dynamical Systems (M. M. Peixoto, ed.), Academic Press, New York, 1973, pp. 249-254.

R. McGehee, The stable manifold theorem via an isolating block, Symposium on Ordinary Differential Equations (W. Harris & Y. Sibuya, eds.), Lecture Notes in Mathematics 312, Springer-Verlag, Berlin, 1973, pp. 135-144.

R. McGehee, Triple collision in Newtonian gravitational systems, Dynamical Systems, Theory and Applications (J. Moser, ed.), Lecture Notes in Physics 38, Springer-Verlag, Berlin, 1975, pp. 550-572.

J. Mather & R. McGehee, Solutions of the collinear four-body problem which become unbounded in finite time, Dynamical Systems, Theory and Applications (J. Moser, ed.), Lecture Notes in Physics 38, Springer-Verlag, Berlin, 1975, pp. 573-597.

R. McGehee, Singularities in classical celestial mechanics, Proceedings of the International Congress of Mathematicians Helsinki 1978, pp. 827-834.

D. G. Aronson, M. A. Chory, G. R. Hall, & R. P. McGehee, A discrete dynamical system with subtly wild behavior, New Approaches to Nonlinear Problems in Dynamics (P. Holmes, ed.), SIAM, 1980, pp. 339-359.

D. G. Aronson, M. A. Chory, G. R. Hall, & R. P. McGehee, Resonance phenomena for two parameter families of maps of the plane: uniqueness and nonuniqueness of rotation numbers, Nonlinear Dynamics and Turbulence (Barenblatt, Iooss, & Joseph, ed.), Pitman, Boston, 1983, pp. 35-47.

R. McGehee, A Note on the Moser-Hald Variation of Newton's Method, Analysis, et cetera: Research Papers Published in Honor of Jurgen Moser's 60th Birthday (P. Rabinowitz & E. Zehnder, eds.), Academic Press, Boston, 1990, pp. 495-499.

R. McGehee & B. Peckham, Determining the Global Topology of Resonance Surfaces for Periodically Forced Oscillator Families, Proceedings of the Workshop on Normal Forms and Homoclinic Chaos, Fields Institute Communications 4, AMS, 1995, pp. 233-251.

M. R. Herman, R. McGehee, J. Moser, & E. Zehnder, Charles Conley Memorial Volume, Cambridge University Press, Cambridge, 1988.

R. McGehee & K. Meyer, Twist Mappings and their Applications, The IMA Volumes in Mathematics and its Applications 44, Springer-Verlag, Berlin, 1992.

R. McGehee, A nonsingular list structure for multiprocessor systems, CPT Research Report No. 0482 (1984).

J. Guckenheimer & R. McGehee, A proof of the Mandelbrot N-squared conjecture, Institut Mittag-Leffler Report No. 15 (1984).

R. McGehee, Some metric properties of attractors with applications to computer simulations of dynamical systems, October, 1988.

R. McGehee, Carbon Negativity Estimates for Grassland Biomass, February 16, 2007.