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Charles C. Conley, 1933–1984

  • Richard McGehee (a1)
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COPYRIGHT: © Cambridge University Press 1988
References
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[1]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.
[2]Conley, C.. On some new long periodic solutions of the plane restricted three body problem. Comm. Pure Appl. Math. 16 (1963), 449–467.
[3]Conley, C.. A disk mapping associated with the satellite problem. Comm. Pure Appl. Math. 17 (1964), 237–243.
[4]Conley, C. & Miller, R. K.. Asymptotic stability without uniform stability: almost periodic coefficients. J. Differential Equations 1 (1965), 333–336.
[5]Conley, C.. A note on perturbations which create new point eigenvalues. J. Math. Anal. Appl. 15 (1966), 421–433.
[6]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.
[7]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.
[8]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.
[9]Conley, C.. Low energy transit orbits in the restricted three-body problem. SIAM J. Appl. Math. 16 (1968), 732–746.
[10]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.
[11]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.
[12]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.
[13]Conley, C.. Invariant sets which carry a one-form. J. Differential Equations 8 (1970), 587–594.
[14]Conley, C. & Smoller, J.. Viscosity matrices for two-dimensional nonlinear hyperbolic systems. Comm. Pure Appl. Math. 23 (1970), 867–884.
[15]Conley, C. & Easton, R.. Isolated invariant sets and isolating blocks. Trans. Amer. Math. Soc. 158 (1971), 35–61.
[16]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.
[17]Conley, C. & Smoller, J.. Shock waves as limits of progressive wave solutions of higher order equations. Comm. Pure Appl. Math. 24 (1971), 459–472.
[18]Conley, C.. Some abstract properties of the set of invariant sets of a flow. Illinois J. Math. 16 (1972), 663–668.
[19]Smoller, J. & Conley, C.. Viscosity matrices for two-dimensional non-linear hyperbolic systems, II. Amer. J. Math. 44 (1972), 631–650.
[20]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.
[21]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.
[22]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.
[23]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.
[24]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.
[25]Conley, C. & Smoller, J.. On the structure of magnetohydrodynamic shock waves. Comm. Pure Appl. Math. 27 (1974), 367–375.
[26]Conley, C. & Smoller, J.. The MHD version of a theorem of H. Weyl. Proc. Amer. Math. Soc. 42 (1974), 248–250.
[27]Conley, C. & Smoller, J.. On the structure of magnetohydrodynamic shock waves II. Math, pures et appl. 54 (1975), 429–444.
[28]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.
[29]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.
[30]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.
[31]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.
[32]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.
[33]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.
[34]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.
[35]Chueh, K. N., Conley, C. & Smoller, J.. Positively invariant regions for systems of nonlinear diffusion equations. Indiana Univ. Math. J. 26 (1977), 373–392.
[36]Conley, C.. Isolated Invariant Sets and the Morse Index. Conference Board on Mathematical Sciences 38. AMS, Providence (1978).
[37]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.
[38]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.
[39]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.
[40]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.
[41]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).
[42]Conley, C. & Fife, P.. Critical manifolds, travelling waves and an example from population genetics. J. Math. Biol. 14 (1982), 159–176.
[43]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.
[44]Conley, C. & Zehnder, E.. The Birkhoff-Lewis fixed point theorem and a conjecture of V. I. Arnold. Invent. Math. 73 (1983), 33–49.
[45]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.
[46]Conley, C. & Zehnder, E.. Morse-type index theory for flows and periodic solutions for Hamiltonian equations. Comm. Pure Appl. Math. 37 (1984), 207–253.
[47]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.
[48]Conley, C. & Zehnder, E.. Subharmonic solutions and Morse theory. Physica 124A (1984), 649–657.
[49]Conley, C. & Smoller, J.. Bifurcation and stability of stationary solutions of the Fitz-Hugh-Nagumo equations. J. Differential Equations 63 (1986), 389–405.
[50]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.
[51]Conley, C. & Rejto, P. A.. On spectral concentration. New York University Courant Institute of Mathematical Sciences, IMM-NYU-193 (March 1962).
[52]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.
[53]Conley, C.. The gradient structure of a flow: I. IBMRC 3932 (#17806) (17 July 1972).†
[54]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).
[55]Conley, C.. An oscillation theorem for linear systems with more than one degree of freedom. IBMRC 3993 (#18004) (18 August 1972).
[56]Conley, C.. The behavior of spherically symmetric equilibria near infinity. MRC Technical Summary Report #2117 (September 1980).
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Ergodic Theory and Dynamical Systems
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  • EISSN: 1469-4417
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