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<top_article>
 <mrnumber>MR0099482</mrnumber>
 <author>Urabe, Minoru</author>
 <author_utf8>Minoru URABE</author_utf8>
 <title>Geometric study of nonlinear autonomous oscillations</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>1</volume>
 <year>1958</year>
 <page>1--84</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol01/fe01-1.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE01-10-en_KML/fe01-001-050/fe01-001-050.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR0099482</mathsci_link>
<fesi_info>
  <FILE>fe01-001-050</FILE>
  <YEAR>1958</YEAR>
  <TITLE>Geometric Study of Nonlinear Autonomous Oscillations</TITLE>
  <AUTHOR>URABE, Minoru</AUTHOR>
  <AUTHOR_utf8>URABE, Minoru</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Coddington, E. A.; Levinson, N.</author>
    <title>Perturbation of linear systems with constant coefficients possessing periodic solutions</title>
    <journal>Contributions to the theory of nonlinear oscillations II, Princeton</journal>
    <year>1952</year>
    <page>19-35</page>
    <mr>MR0054803</mr>
    <query_string>Cache/Co/Coddington,Perturbation,*,1952,1953</query_string>
  </article>

  <book>
    <bibitem>2</bibitem>
    <author>Coddington, E. A.; Levinson, N.</author>
    <booktitle>Theory of ordinary differential equations</booktitle>
    <publisher>McGraw-Hill, New York</publisher>
    <year>1955</year>
    <mr>MR0069338</mr>
    <score>100</score>
    <query_string>Cache/Co/Coddington,ordinary,*,1955,1956</query_string>
    <page>xii+429</page>
  </book>

  <article>
    <bibitem>3</bibitem>
    <author>Diliberto, S. P.; Hufford, G.</author>
    <title>Perturbation theorems for non-linear ordinary differential equations</title>
    <journal>Contributions to the theory of nonlinear oscillations III, Princeton</journal>
    <year>1956</year>
    <page>207-236</page>
    <mr>MR0083071</mr>
    <query_string>Cache/Di/Diliberto,Perturbation,*,1956,1957</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Duff, G. F. D.</author>
    <title>Limit-cycles and roted vector fields</title>
    <journal>Annals of Math.</journal>
    <vol>57</vol>
    <year>1953</year>
    <page>15-31</page>
    <mr>MR0053301</mr>
    <score>80</score>
    <query_string>Cache/Du/Duff,Limit-cycles,Annals*,1953,1954</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Hufford, G.</author>
    <title>Banach spaces and the perturbation of ordinary differential equations</title>
    <journal>Contributions to the theory of nonlinear oscillations III, Princeton</journal>
    <page>173-195</page>
    <not_found>no matching data</not_found>
    <query_string>Cache/Hu/Hufford,perturbation,*,1953,1963</query_string>
  </article>

  <book>
    <bibitem>6</bibitem>
    <author>Kryloff, N.; Bogoliuboff, N.</author>
    <booktitle>Introduction to non-linear mechanics</booktitle>
    <publisher>Princeton</publisher>
    <year>1943</year>
    <mr>MR0007461</mr>
    <query_string>Cache/Kr/Kryloff,Introduction,*,1949,1950</query_string>
  </book>

  <article>
    <bibitem>7</bibitem>
    <author>Levinson, N.</author>
    <title>Small periodic perturbations of an autonomous system with a stable orbit</title>
    <journal>Annals of Math</journal>
    <vol>52</vol>
    <year>1950</year>
    <page>727-738</page>
    <mr>MR0037974</mr>
    <score>100</score>
    <query_string>Cache/Le/Levinson,perturbations,Annals*,1950,1951</query_string>
  </article>

  <article>
    <bibitem>8</bibitem>
    <author>Lewis, D. C.</author>
    <title>On the perturbation of a periodic solution when the variational system has non-trivial periodic solutions</title>
    <journal>J. Rat. Mech. Anal.</journal>
    <vol>4</vol>
    <year>1955</year>
    <page>795-815</page>
    <mr>MR0073012</mr>
    <score>100</score>
    <query_string>Cache/Le/Lewis,perturbation,J*,1955,1956</query_string>
  </article>

  <book>
    <bibitem>9</bibitem>
    <author>Nemytskii, V. V.; Stepanov, V. V.</author>
    <booktitle>Qualitative theory of differential equations</booktitle>
    <publisher>Moscow-Leningrad</publisher>
    <year>1947 (In Russian)</year>
    <mr>MR0029483</mr>
    <query_string>Cache/Ny/Nyemyitski,Qualitative,Moscow-Leningrad*,1949,1950</query_string>
  </book>

  <article>
    <bibitem>10</bibitem>
    <author>Poincar&#233;, H.</author>
    <title>Sur les courbes d&#233;finies par les &#233;quations diff&#233;rentielles</title>
    <journal>J. d. Math.</journal>
    <vol>2</vol>
    <year>1886</year>
    <page>151-217</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Po/Poincar\'e,courbes,J*,1886,1887</query_string>
  </article>

  <article>
    <bibitem>11</bibitem>
    <author>Uno, T.</author>
    <title>On some systematic method for finding limit cycles</title>
    <journal>Proc. 1st Japan Nat. Congress f. Appl. Mech.</journal>
    <year>1951</year>
    <page>513-516</page>
    <mr>MR0074598</mr>
    <query_string>Cache/Un/Uno,systematic,*,1951,1952</query_string>
  </article>

  <article>
    <bibitem>12</bibitem>
    <author>Urabe, M.</author>
    <title>Infinitesimal deformation of cycles</title>
    <journal>J. Sci. Hiroshima Univ. Ser. A</journal>
    <ser>A</ser>
    <vol>18</vol>
    <year>1954</year>
    <page>37-53</page>
    <mr>MR0070802</mr>
    <score>100</score>
    <query_string>Cache/Ur/Urabe,Infinitesimal,J*,1954,1955</query_string>
  </article>

  <article>
    <bibitem>13</bibitem>
    <author>Urabe, M.; Sibuya, Y.</author>
    <title>On center of higher dimensions</title>
    <journal>J. Sci. Hiroshima Univ. Ser. A</journal>
    <ser>A</ser>
    <vol>19</vol>
    <year>1955</year>
    <page>87-100</page>
    <mr>MR0079172</mr>
    <score>100</score>
    <query_string>Cache/Ur/Urabe,dimensions,J*,1955,1956</query_string>
  </article>

  <article>
    <bibitem>14</bibitem>
    <author>Urabe, M.</author>
    <title>Numerical determination of priodic solution of nonlinear system</title>
    <journal>J. Sci. Hiroshima Univ. Ser. A</journal>
    <ser>A</ser>
    <vol>20</vol>
    <year>1957</year>
    <page>125-148</page>
    <mr>MR0099115</mr>
    <score>87</score>
    <query_string>Cache/Ur/Urabe,determination,J*,1957,1958</query_string>
  </article>

  <article>
    <bibitem>15</bibitem>
    <author>Urabe, M.</author>
    <title>Moving orthonormal system along a closed path of an autonomous system</title>
    <journal>J. Sci. Hiroshima Univ. Ser. A</journal>
    <ser>A</ser>
    <vol>21</vol>
    <year>1958</year>
    <page>177-192</page>
    <mr>MR0099481</mr>
    <score>100</score>
    <query_string>Cache/Ur/Urabe,orthonormal,J*,1958,1959</query_string>
  </article>

</references>
</top_article>
