<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0035-001X</journal-id>
<journal-title><![CDATA[Revista mexicana de física]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fis.]]></abbrev-journal-title>
<issn>0035-001X</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0035-001X2018000200107</article-id>
<article-id pub-id-type="doi">10.31349/revmexfis.64.107</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Synchronization dynamics of two mutually coupled 555-IC based electronic oscillators]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Santillán]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Centro de Investigación y de Estudios Avanzados Unidad Monterrey ]]></institution>
<addr-line><![CDATA[Apodaca NL ]]></addr-line>
<country>México</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>04</month>
<year>2018</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>04</month>
<year>2018</year>
</pub-date>
<volume>64</volume>
<numero>2</numero>
<fpage>107</fpage>
<lpage>115</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2018000200107&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2018000200107&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2018000200107&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract We designed and implemented an electronic oscillatory system consisting of two mutually coupled oscillators (each one based on the 555timer IC working in astable mode), and investigated its synchronization dynamics. For that purpose, we characterized the phase-locking rhythms achieved in a large set of values of the uncoupled frequency ratio and of the coupling strength between both oscillators. We further developed an ODE mathematical model that qualitative reproduces the obtained experimental results and provides further insight into the system behavior.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Two-oscillator synchronization]]></kwd>
<kwd lng="en"><![CDATA[relaxation oscillator]]></kwd>
<kwd lng="en"><![CDATA[diffusive coupling]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kuramoto]]></surname>
<given-names><![CDATA[Y]]></given-names>
</name>
<name>
<surname><![CDATA[Araki]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
</person-group>
<source><![CDATA[Lecture Notesin Physics, International Symposium on Mathematical Problems in Theoretical Physics]]></source>
<year>1975</year>
<volume>39</volume>
<page-range>420</page-range><publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Springer-Verlag]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Peskin]]></surname>
<given-names><![CDATA[C.S.]]></given-names>
</name>
</person-group>
<source><![CDATA[Mathematical aspects of heart physiology]]></source>
<year>1975</year>
<publisher-loc><![CDATA[New York University, New York ]]></publisher-loc>
<publisher-name><![CDATA[Courant Institute of Mathematical Sciences]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mirollo]]></surname>
<given-names><![CDATA[R.E.]]></given-names>
</name>
<name>
<surname><![CDATA[Strogatz]]></surname>
<given-names><![CDATA[S.H.]]></given-names>
</name>
</person-group>
<source><![CDATA[SIAM J. Appl. Math]]></source>
<year>1990</year>
<volume>50</volume>
</nlm-citation>
</ref>
<ref id="B4">
<label>4</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pikovsky]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
<name>
<surname><![CDATA[Rosenblum]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<name>
<surname><![CDATA[Kurths]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<source><![CDATA[Synchronization: a universal concept in nonlinear sciences]]></source>
<year>2001</year>
<volume>12</volume>
<publisher-loc><![CDATA[Cambridge ]]></publisher-loc>
<publisher-name><![CDATA[Cambridge University Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B5">
<label>5</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fukuda]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
<name>
<surname><![CDATA[Morimura]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
<name>
<surname><![CDATA[Kai]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
</person-group>
<source><![CDATA[Physica D: Nonlinear Phenomena]]></source>
<year>2005</year>
<volume>205</volume>
</nlm-citation>
</ref>
<ref id="B6">
<label>6</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Dorer]]></surname>
<given-names><![CDATA[F]]></given-names>
</name>
<name>
<surname><![CDATA[Chertkov]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<name>
<surname><![CDATA[Bullo]]></surname>
<given-names><![CDATA[F]]></given-names>
</name>
</person-group>
<source><![CDATA[Proceedings of the National Academy of Sciences]]></source>
<year>2013</year>
<volume>110</volume>
</nlm-citation>
</ref>
<ref id="B7">
<label>7</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tompkins]]></surname>
<given-names><![CDATA[N]]></given-names>
</name>
<name>
<surname><![CDATA[Cambria]]></surname>
<given-names><![CDATA[M.C.]]></given-names>
</name>
<name>
<surname><![CDATA[Wang]]></surname>
<given-names><![CDATA[A.L.]]></given-names>
</name>
<name>
<surname><![CDATA[Heymann]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<name>
<surname><![CDATA[Fraden]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
</person-group>
<source><![CDATA[Chaos: An Interdisciplinary Journal of Nonlinear Science]]></source>
<year>2015</year>
<volume>25</volume>
</nlm-citation>
</ref>
<ref id="B8">
<label>8</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Allen]]></surname>
<given-names><![CDATA[T]]></given-names>
</name>
</person-group>
<source><![CDATA[Physica D: Non linear Phenomena]]></source>
<year>1983</year>
<volume>6</volume>
</nlm-citation>
</ref>
<ref id="B9">
<label>9</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Guisset]]></surname>
<given-names><![CDATA[J.-L.]]></given-names>
</name>
<name>
<surname><![CDATA[J.-L.]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Ramírez-Ávila]]></surname>
<given-names><![CDATA[G.M.]]></given-names>
</name>
</person-group>
<source><![CDATA[arxivnlin/0206036]]></source>
<year>2007</year>
</nlm-citation>
</ref>
<ref id="B10">
<label>10</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ramírez-Ávila]]></surname>
<given-names><![CDATA[G. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Guisset]]></surname>
<given-names><![CDATA[J. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Deneubourg]]></surname>
<given-names><![CDATA[J. L.]]></given-names>
</name>
</person-group>
<source><![CDATA[Physica D: Non linear Phenomena]]></source>
<year>2003</year>
<volume>182</volume>
<page-range>254-73</page-range></nlm-citation>
</ref>
<ref id="B11">
<label>11</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cosp]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
<name>
<surname><![CDATA[Madrenas]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
<name>
<surname><![CDATA[Alarcon]]></surname>
<given-names><![CDATA[E]]></given-names>
</name>
<name>
<surname><![CDATA[Vidal]]></surname>
<given-names><![CDATA[E]]></given-names>
</name>
<name>
<surname><![CDATA[Villar]]></surname>
<given-names><![CDATA[G]]></given-names>
</name>
</person-group>
<source><![CDATA[IEEE Trans Neural Netw]]></source>
<year>2004</year>
<volume>15</volume>
</nlm-citation>
</ref>
<ref id="B12">
<label>12</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ramírez-Ávila]]></surname>
<given-names><![CDATA[G.M.]]></given-names>
</name>
<name>
<surname><![CDATA[Guisett]]></surname>
<given-names><![CDATA[J.L.]]></given-names>
</name>
<name>
<surname><![CDATA[Denebourg]]></surname>
<given-names><![CDATA[J.L.]]></given-names>
</name>
</person-group>
<source><![CDATA[International Journal of Bifurcation and Chaos]]></source>
<year>2007</year>
<volume>17</volume>
</nlm-citation>
</ref>
<ref id="B13">
<label>13</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ramírez-Ávila]]></surname>
<given-names><![CDATA[G.M.]]></given-names>
</name>
<name>
<surname><![CDATA[Kurths]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
<name>
<surname><![CDATA[Guisset]]></surname>
<given-names><![CDATA[J.L.]]></given-names>
</name>
<name>
<surname><![CDATA[Deneubourg]]></surname>
<given-names><![CDATA[J.L.]]></given-names>
</name>
</person-group>
<source><![CDATA[Phys. Rev. E]]></source>
<year>2010</year>
<volume>82</volume>
</nlm-citation>
</ref>
<ref id="B14">
<label>14</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ramírez-Ávila]]></surname>
<given-names><![CDATA[G. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Deneubourg]]></surname>
<given-names><![CDATA[J. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Guisset]]></surname>
<given-names><![CDATA[J. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Wessel]]></surname>
<given-names><![CDATA[N]]></given-names>
</name>
<name>
<surname><![CDATA[Kurths]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<source><![CDATA[EPL (Europhysics Letters)]]></source>
<year>2011</year>
<volume>94</volume>
</nlm-citation>
</ref>
<ref id="B15">
<label>15</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Rubido]]></surname>
<given-names><![CDATA[N]]></given-names>
</name>
<name>
<surname><![CDATA[Cabeza]]></surname>
<given-names><![CDATA[C]]></given-names>
</name>
<name>
<surname><![CDATA[Ramírez-Ávila]]></surname>
<given-names><![CDATA[G.M.]]></given-names>
</name>
<name>
<surname><![CDATA[Martí]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
</person-group>
<source><![CDATA[Journal of Physics: Conference Series]]></source>
<year>2011</year>
<volume>285</volume>
</nlm-citation>
</ref>
<ref id="B16">
<label>16</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Santillán]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
</person-group>
<source><![CDATA[International Journal of Bifurcation and Chaos]]></source>
<year>2016</year>
<volume>26</volume>
</nlm-citation>
</ref>
<ref id="B17">
<label>17</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Arce]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
<name>
<surname><![CDATA[Torres]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
<name>
<surname><![CDATA[Falcón-Neri]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
<name>
<surname><![CDATA[Mimila]]></surname>
<given-names><![CDATA[O]]></given-names>
</name>
<name>
<surname><![CDATA[González]]></surname>
<given-names><![CDATA[G]]></given-names>
</name>
</person-group>
<source><![CDATA[Rev. Mex. Fis.]]></source>
<year>2017</year>
</nlm-citation>
</ref>
<ref id="B18">
<label>18</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Storti]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
<name>
<surname><![CDATA[Rand]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
</person-group>
<source><![CDATA[International Journal of Non-Linear Mechanics]]></source>
<year>1982</year>
<volume>17</volume>
</nlm-citation>
</ref>
<ref id="B19">
<label>19</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bélair]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
<name>
<surname><![CDATA[Holmes]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
</person-group>
<source><![CDATA[Quarterly of Applied Mathematics]]></source>
<year>1984</year>
<volume>42</volume>
</nlm-citation>
</ref>
<ref id="B20">
<label>20</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Stortiand]]></surname>
<given-names><![CDATA[D. W.]]></given-names>
</name>
<name>
<surname><![CDATA[Reinhall]]></surname>
<given-names><![CDATA[P. G.]]></given-names>
</name>
</person-group>
<source><![CDATA[Journal of Vibration and Acoustics]]></source>
<year>2000</year>
<volume>122</volume>
</nlm-citation>
</ref>
<ref id="B21">
<label>21</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Campbell]]></surname>
<given-names><![CDATA[S.A.]]></given-names>
</name>
<name>
<surname><![CDATA[Waite]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
</person-group>
<source><![CDATA[Nonlinear Analysis: Theory, Methods &amp; Applications]]></source>
<year>2001</year>
<volume>47</volume>
</nlm-citation>
</ref>
<ref id="B22">
<label>22</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Choubey]]></surname>
<given-names><![CDATA[B]]></given-names>
</name>
</person-group>
<source><![CDATA[Journal of Vibration and Acoustics]]></source>
<year>2010</year>
</nlm-citation>
</ref>
<ref id="B23">
<label>23</label><nlm-citation citation-type="">
<source><![CDATA[555 ic timer datasheet]]></source>
<year>2015</year>
</nlm-citation>
</ref>
<ref id="B24">
<label>24</label><nlm-citation citation-type="">
<source><![CDATA[]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B25">
<label>25</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Balanov]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
</person-group>
<source><![CDATA[Synchronization : from simple to complex]]></source>
<year>2009</year>
<publisher-loc><![CDATA[Springer, Berlin ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B26">
<label>26</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gonze]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
<name>
<surname><![CDATA[Bernard]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
<name>
<surname><![CDATA[Waltermann]]></surname>
<given-names><![CDATA[C]]></given-names>
</name>
<name>
<surname><![CDATA[Kramer]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
<name>
<surname><![CDATA[Herzel]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
</person-group>
<source><![CDATA[Biophysical journal]]></source>
<year>2005</year>
<volume>89</volume>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
