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\bibliographystyle{amsalpha}
\renewcommand{\bibname}{Bibliography (style RA)}
\begin{thebibliography}{BFMO}

\bibitem [A1]{A1} T. Aoki, {\em Calcul exponentiel des op\'erateurs
microdifferentiels d'ordre infini.} I, Ann. Inst. Fourier (Grenoble)
{\bf33} (1983), 227--250.

\bibitem [A2]{A2} \bysame, {\em Calcul exponential des op\'erateurs
microdifferentiels d'ordre infini.} II, Ann. Inst. Fourier
(Grenoble) {\bf36} (1986), 143--165.

\bibitem [AKK]{AKK}
T. Aoki, M. Kashiwara, and T. Kawai, {\em On a class of
linear differential operators of infinite order with finite index},
Adv. in Math. {\bf62} (1986), 155--168.

\bibitem[B]{B} H. F. Baker, {\em Note on the foregoing paper}, Proc.
Roy. Soc. London Ser. A {\bf118} (1928), 584--593.

\bibitem[BFMO]{BFMO}A. R. Bishop, M. G. Forest, D. W. McLaughlin, and E. A.
Overman, {\em A quasi-periodic route to chaos in a near integrable
PDE}, Phys. D {\bf23} (1986), 293--328.

\bibitem[BC]{BC} J. L. Burchnall and T. W. Chaundy, {\em Commutative
ordinary differential operators}, Proc. Roy. Soc. London Ser. A
{\bf118} (1928), 557--583.

\bibitem[C]{C} M. Crum, {\em Associated Sturm-Liouville systems},
Quart. J. Math. Oxford {\bf6} (1955), 121--127.

\bibitem[D]{D}E. Date, {\em Multisoliton solutions and quasi-periodic
solutions of nonlinear equations of sine-Gordon type}, Osaka J.
Math. {\bf19} (1982), 125--128.

\bibitem [E]{E} L. Ehrenpreis, {\em Fourier analysis in several complex
variables}, Wiley-Interscience, 1970.

\bibitem[F]{F}H. Flaschka, {\em Towards an algebro-geometric
interpretation of the Neumann system}, T\^ohoku Math. Journal
{\bf36} (1984), 407--426.

\bibitem [KK]{KK} M. Kashiwara and T. Kawai, {\em On holonomic systems of
micro-differential equations.} III, Publ. Res. Inst. Math.
Sci. {\bf17} (1981), 813--979.

\bibitem [K$^3$]{K$^3$} M. Kashiwara, T. Kawai, and T. Kumura,
{\em Foundations of algebraic analysis}, Princeton Univ. Press,
Princeton, N.J., 1986; translated from the Japanese
edition, 1980.

\end{thebibliography}

\bibliographystyle{}
\renewcommand{\bibname}{Bibliography (style RB)}
\begin{thebibliography}{}

\bibitem[]{Kawai 1970} T. Kawai, {\em On the theory of Fourier hyperfunctions
and its applications to partial differential equations with constant
coefficients}, J. Fac. Sci. Univ. Tokyo Sect. IA {\bf17} (1970),
467--517.

\bibitem[]{Kawai 1980} \bysame, {\em Some remarks on the microlocal
analysis of $\vartheta$-functions}, S\^uriken-k\^oky\^uroku No. 410,
Res. Inst. Math. Sci. Kyoto, 1980, pp.~76--87. (Japanese)

\bibitem[]{Kawai 1983} \bysame, {\em An example of a complex of linear
differential operators of infinite order}, Proc. Japan Acad. Ser. A
{\bf59} (1983), 113--115.

\bibitem[]{Kawai 1987} \bysame, {\em The Fabry-Ehrenpreis gap theorem and
linear differential equations of infinite order}, Amer. J. Math. {\bf
109} (1987), 57--64.

\bibitem[]{Kawai and Struppa 1990} T. Kawai and D. Struppa,
{\em On the existence of
holomorphic solutions of systems of linear differential equations of
infinite order and with constant coefficients info} (to appear;
RIMS Preprint No. 620 (1988)).

\bibitem[]{Krichever 1977}
I. M. Krichever, {\em Integration of nonlinear equations
by the method of algebraic geometry}, Functional Anal. App.
{\bf11} (1977), 12--26.

\end{thebibliography}

\bibliographystyle{amsplain}
\renewcommand{\bibname}{Bibliography (style RC)}
\begin{thebibliography}{00}

\bibitem{arnold:sing}
 V. L. Arnol$'$d, A. N. Varchenko, and S. M. Gusein-Zade,
 {\em Singularities of differentiable maps.} I,
  ``Nauka'', Moscow, 1982 (Russian);
English transl. Birkh\"auser, 1985.

\bibitem{arnold:sing2}
\bysame,
 {\em Singularities of differentiable maps.}~II,
  ``Nauka'', Moscow, 1984;
English transl., Birkh\"auser, 1988.


\bibitem{bass:jacobian}
H. Bass, E. H. Connell, and D. Wright,
{\em The Jacobian conjecture}, Bull. Amer. Math. Soc.
 {\bf 7} (1982), 287--330.

\bibitem{bass:flows}
H. Bass and G. H. Meisters,
{\em Polynomial flows in the plane}, Adv. in Math.
 {\bf 55} (1985), 173--203.

\bibitem{coomes:injectivity}
B. Coomes,
{\em Polynomial flows, symmetry groups, and conditions sufficient for
        injectivity of maps},
 Ph.D. Thesis, Univ. Nebraska-Lincoln, 1988.


\bibitem{coomes:lorenz}
\bysame,
{\em The Lorenz system does not have a polynomial flow},
{J. Differential Equations} (to appear).

\bibitem{formanek:gener}
E. Formanek,
{\em Generating the ring of matrix invariants},
Lecture Notes in Math., vol. 1197,
Springer-Verlag, Berlin and New York,
1986, pp. 73--82.

\bibitem{meisters:poly}
\bysame,
{\em Polynomial flows on $\hbox{\bf R}^n$},
Proc. Semester on Dynamical Systems (Warsaw, Autumn 1986),
Springer-Verlag,
Berlin, Heidelberg, and New York
(to appear).

\bibitem{osher:shock}
S. Osher,
{\em Shock capturing algorithms for equations of mixed type},
 Numerical Methods for Partial Differential Equations
(S. I. Hariharan and T. H. Moulton, eds.),
  Longman, New York, 1986, pp. 305--322.

\bibitem{ostro:nonlin}
L. A. Ostrovsky,
{\em Nonlinear internal waves in a rotating ocean},
Part 2, Oceanology {\bf 18} (1978), 181--191.

\bibitem{petrov:ellip}
G. S. Petrov,
{\em Elliptic integrals and their nonoscillatory behavior},
Funktsional. Anal. i Pri\-lo\-zhen. {\bf 20} (1986), 46--49;
English transl. in Functional Anal. Appl. {\bf 20} (1986).

\bibitem{spivak:jot}
M. D. Spivak,
{\em The Joy of \TeX{}}, second edition, Amer. Math. Soc., Providence, R.I.,
1990.

\bibitem{lamport:latex} Leslie Lamport, {\em \LaTeX{} -- A Document Preparation
System}, Addison-Wesley, Reading, Mass., 1986.

\end{thebibliography}

\cleardoublepage

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