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Charles C. Conley, 1933–1984

Published online by Cambridge University Press:  10 December 2009

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Ergodic Theory and Dynamical Systems , Volume 8 , Volume 8: Charles Conley Memorial Issue , December 1988 , pp. 1 - 7
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Copyright © Cambridge University Press 1988

References

PUBLICATIONS

Conley, C.. On some new long periodic solutions of the plane restricted three body problem. International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics, ed. LaSalle, J. & Lefshetz, S.. Academic Press, New York (1963), 86–90.10.1016/B978-0-12-395651-4.50014-3Google Scholar
Conley, C.. On some new long periodic solutions of the plane restricted three body problem. Comm. Pure Appl. Math. 16 (1963), 449–467.Google Scholar
Conley, C.. A disk mapping associated with the satellite problem. Comm. Pure Appl. Math. 17 (1964), 237–243.Google Scholar
Conley, C. & Miller, R. K.. Asymptotic stability without uniform stability: almost periodic coefficients. J. Differential Equations 1 (1965), 333–336.Google Scholar
Conley, C.. A note on perturbations which create new point eigenvalues. J. Math. Anal. Appl. 15 (1966), 421–433.Google Scholar
Conley, C. & Rejto, P.. Spectral concentration II-general theory. Perturbation Theory and its Applications in Quantum Mechanics, ed. Wilcox, C.. Proceedings of an Advanced Seminar at the University of Wisconsin, Madison, 4–6 October 1965. John Wiley & Sons, New York (1966), 129–143.Google Scholar
Conley, C.. Invariant sets in a monkey saddle. United States-Japan Seminar on Differential and Functional Equations, ed. Harris, W. Jr, & Sibuya, Y.. W. A. Benjamin, New York (1967), 443–447.Google Scholar
Conley, C.. The retrograde circular solutions of the restricted three-body problem via a submanifold convex to the flow. SIAM J. Appl. Math. 16 (1968), 620–625.Google Scholar
Conley, C.. Low energy transit orbits in the restricted three-body problem. SIAM J. Appl. Math. 16 (1968), 732–746.10.1137/0116060Google Scholar
Conley, C.. Twist mapping, linking, analyticity, and periodic solutions which pass close to an unstable periodic solution. Topological Dynamics, An International Symposium, ed. Auslander, J. & Gottschalk, W.. W. A. Benjamin, New York (1968), 129–153.Google Scholar
Conley, C.. On the ultimate behavior of orbits with respect to an unstable critical point 1: oscillating, asymptotic and capture orbits. J. Differential Equations 5 (1969), 136–158.Google Scholar
Conley, C. & Easton, R.. Isolated invariant sets and isolating blocks. Advances in Differential and Integral Equations, ed. Nohel, J.. Studies in Applied Mathematics 5. SIAM Publications, Philadelphia (1969), 97–104.Google Scholar
Conley, C.. Invariant sets which carry a one-form. J. Differential Equations 8 (1970), 587–594.10.1016/0022-0396(70)90032-XGoogle Scholar
Conley, C. & Smoller, J.. Viscosity matrices for two-dimensional nonlinear hyperbolic systems. Comm. Pure Appl. Math. 23 (1970), 867–884.Google Scholar
Conley, C. & Easton, R.. Isolated invariant sets and isolating blocks. Trans. Amer. Math. Soc. 158 (1971), 35–61.10.1090/S0002-9947-1971-0279830-1Google Scholar
Conley, C.. On the continuation of the invariant sets of a flow. Proceedings of the International Congress of Mathematicians 1970. Gauthier-Villars, Paris (1971), 909–913.Google Scholar
Conley, C. & Smoller, J.. Shock waves as limits of progressive wave solutions of higher order equations. Comm. Pure Appl. Math. 24 (1971), 459–472.10.1002/cpa.3160240402Google Scholar
Conley, C.. Some abstract properties of the set of invariant sets of a flow. Illinois J. Math. 16 (1972), 663–668.10.1215/ijm/1256065549Google Scholar
Smoller, J. & Conley, C.. Viscosity matrices for two-dimensional non-linear hyperbolic systems, II. Amer. J. Math. 44 (1972), 631–650.Google Scholar
Smoller, J. & Conley, C.. Shock waves as limits of progressive wave solutions of higher order equations, II. Comm. Pure Appl. Math. 25 (1972), 133–146.Google Scholar
Conley, C.. On a generalization of the Morse index. Ordinary Differential Equations, 1971 NRL—MRC Conference, ed. Weiss, L.. Academic Press, New York (1972), 27–33.Google Scholar
Conley, C.. An oscillation theorem for linear systems with more than one degree of freedom. Conference on the Theory of Ordinary and Partial Differential Equations, ed. Everitt, W. & Sleeman, B.. Lecture Notes in Mathematics 280. Springer-Verlag, New York (1972), 232–235.Google Scholar
Conley, C. & Smoller, J.. Topological methods in the theory of shock waves. Partial Differential Equations. Proceedings of Symposia in Pure Mathematics XXIII. AMS, Providence (1973), 293–302.10.1090/pspum/023/0340836Google Scholar
Conley, C. & Smoller, J.. Sur l'existence et la structure des ondes de choc en magnétohydrodynamique. C.R. Acad. Sci. Paris, Ser. A 277 (3 September 1973), 387–389.Google Scholar
Conley, C. & Smoller, J.. On the structure of magnetohydrodynamic shock waves. Comm. Pure Appl. Math. 27 (1974), 367–375.Google Scholar
Conley, C. & Smoller, J.. The MHD version of a theorem of H. Weyl. Proc. Amer. Math. Soc. 42 (1974), 248–250.Google Scholar
Conley, C. & Smoller, J.. On the structure of magnetohydrodynamic shock waves II. Math, pures et appl. 54 (1975), 429–444.Google Scholar
Conley, C.. On traveling wave solutions of nonlinear diffusion equations. Dynamical Systems, Theory and Applications, ed. Moser, J.. Lecture Notes in Physics 38. Springer-Verlag, New York (1975), 498–510.Google Scholar
Conley, C.. Hyperbolic sets and shift automorphisms. Dynamical Systems, Theory and Applications, ed. Moser, J.. Lectures Notes in Physics 38. Springer-Verlag, New York (1975), 539–549.Google Scholar
Conley, C. & Smoller, J.. The existence of heteroclinic orbits, and applications. Dynamical Systems, Theory and Applications, ed. Moser, J.. Lecture Notes in Physics 38. Springer-Verlag, New York (1975), 511–524.10.1007/3-540-07171-7_14Google Scholar
Conley, C.. Application of Wazewski's method to a non-linear boundary value problem which arises in population genetics. J. Math. Biol. 2 (1975), 241–249.10.1007/BF00277153Google Scholar
Conley, C.. Some aspects of the qualitative theory of differential equations. Dynamical Systems, An International Symposium, vol. 1. Academic Press, New York (1976), 1–12.Google Scholar
Conley, C. & Smoller, J.. Remarks on traveling wave solutions on non-linear diffusion equations. Structural Stability, the Theory of Catastrophes, and Applications in the Sciences. Lecture Notes in Mathematics 525. Springer-Verlag, New York (1976), 77–89.10.1007/BFb0077844Google Scholar
Conley, C.. A new statement of Wazewski's theorem and an example. Ordinary and Partial Differential Equations, ed. Everitt, W. & Sleeman, B.. Lecture Notes in Mathematics 564. Springer-Verlag, New York (1976), 61–71.10.1007/BFb0087327Google Scholar
Chueh, K. N., Conley, C. & Smoller, J.. Positively invariant regions for systems of nonlinear diffusion equations. Indiana Univ. Math. J. 26 (1977), 373–392.Google Scholar
Conley, C.. Isolated Invariant Sets and the Morse Index. Conference Board on Mathematical Sciences 38. AMS, Providence (1978).Google Scholar
Conley, C. & Smoller, J.. Isolated invariant sets of parameterized systems of differential equations. The Structure of Attractors in Dynamical Systems, ed. Markley, N., Martin, J. & Perrizo, W.. Lecture Notes in Mathematics 668. Springer-Verlag, New York (1978), 30–47.Google Scholar
Conley, C. & Smoller, J.. Remarks on the stability of steady-state solutions of reaction-diffusion equations. Bifurcation Phenomena in Mathematical Physics and Related Topics, ed. Bardos, C. & Bessis, D.. D. Reidel, Boston (1980), 47–56.10.1007/978-94-009-9004-3_2Google Scholar
Conley, C. & Smoller, J.. Topological techniques in reaction-diffusion equations. Biological Growth and Spread, ed. Jager, W., Rost, H. & Tautu, P.. Lecture Notes in Biomathematics 38. Springer-Verlag, New York (1980), 473–483.10.1007/978-3-642-61850-5_41Google Scholar
Conley, C.. A qualitative singular perturbation theorem. Global Theory of Dynamical Systems, ed. Nitecki, Z. & Robinson, C.. Lecture Notes in Mathematics 819. Springer-Verlag, New York (1980), 65–89.Google Scholar
Stewart, W. E., Ray, W. H. and Conley, C. C. (ed.). Dynamics and Modelling of Reactive Systems. Proceedings of an Advanced Seminar at the University of Wisconsin, Madison, 22–24 October 1979. Academic Press, New York (1980).Google Scholar
Conley, C. & Fife, P.. Critical manifolds, travelling waves and an example from population genetics. J. Math. Biol. 14 (1982), 159–176.10.1007/BF01832842Google Scholar
Conley, C. & Smoller, J.. Algebraic and topological invariants for reaction-diffusion equations. Systems of Nonlinear Partial Differential Equations, ed. Ball, J.. D. Reidel, Boston (1983), 3–24.Google Scholar
Conley, C. & Zehnder, E.. The Birkhoff-Lewis fixed point theorem and a conjecture of V. I. Arnold. Invent. Math. 73 (1983), 33–49.10.1007/BF01393824Google Scholar
Conley, C. & Zehnder, E.. An index theory for periodic solutions of a Hamiltonian system. Geometric Dynamics, ed. Palis, J. Jr, Lecture Notes in Mathematics 1007. Springer-Verlag, New York (1983), 132–145.10.1007/BFb0061415Google Scholar
Conley, C. & Zehnder, E.. Morse-type index theory for flows and periodic solutions for Hamiltonian equations. Comm. Pure Appl. Math. 37 (1984), 207–253.Google Scholar
Conley, C. & Gardner, R.. An application of the generalized Morse index to travelling wave solutions of a competitive reaction-diffusion model. Indiana Univ. Math. J. 33 (1984), 319–343.Google Scholar
Conley, C. & Zehnder, E.. Subharmonic solutions and Morse theory. Physica 124A (1984), 649–657.10.1016/0378-4371(84)90282-6Google Scholar
Conley, C. & Smoller, J.. Bifurcation and stability of stationary solutions of the Fitz-Hugh-Nagumo equations. J. Differential Equations 63 (1986), 389–405.10.1016/0022-0396(86)90062-8Google Scholar
Conley, C. & Zehnder, E.. A global fixed point theorem for symplectic maps and subharmonic solutions of Hamiltonian equations on tori. Nonlinear Functional Analysis and its Applications, ed. Browder, F.. Proceedings of Symposia in Pure Mathematics 45, Part I. AMS, Providence (1986), 283–299.Google Scholar

UNPUBLISHED REPORTS

Conley, C. & Rejto, P. A.. On spectral concentration. New York University Courant Institute of Mathematical Sciences, IMM-NYU-193 (March 1962).Google Scholar
Conley, C.. Notes on the restricted three body problem: approximate behavior of solutions near the collinear Lagrangian points. NASA TMX-53292, George C. Marshall Space Flight Center, Huntsville, Alabama (1965), 247–266.Google Scholar
Conley, C.. The gradient structure of a flow: I. IBMRC 3932 (#17806) (17 July 1972).†Google Scholar
Brayton, R. K. & Conley, C.. Some results on the stability and instability of backward differentiation methods with non-uniform time steps. IBMRC 3964 (#17870) (28 July 1972).Google Scholar
Conley, C.. An oscillation theorem for linear systems with more than one degree of freedom. IBMRC 3993 (#18004) (18 August 1972).10.1007/BFb0066935Google Scholar
Conley, C.. The behavior of spherically symmetric equilibria near infinity. MRC Technical Summary Report #2117 (September 1980).Google Scholar