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**Nota de Física****Publicado**

# **Imitation Games: Power-law Sensitivity to Initial Conditions and Nonextensivity**

**A. R. R. Papa; C. Tsallis**

1997

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## **Datos de la publicación**

<dl>

<dt>Autores</dt>
<dd>A. R. R. Papa; C. Tsallis</dd>

<dt>Tipo</dt>
<dd>Nota de Física</dd>

<dt>Estado</dt>
<dd>Publicado</dd>

<dt>Fecha de publicación</dt>
<dd>1997</dd>

<dt>Descripción</dt>
<dd>We exhibit, at the self-organized critical state, a power-law sensitivity to the initial conditions in the system of competing logistic maps introduced by Suzuki and Kaneko (1994), and which modelizes the battle of birds for defending their territories. From the associated exponent we obtain the value for the entropic index ''q'' which defines the recently introduced nonextensive generali- zation of the Boltzmann-Gibbs thermostatistics. In addition to that, we calculate the dynamical exponent ''z''. We obtained &lt;math&gt; q \simeq - 0.69 \,\!&lt;/math&gt; and &lt;math&gt; z \simeq 1.32 \,\!&lt;/math&gt; for a mean-field-type calculation &lt;math&gt;(d = \infty )\,\!&lt;/math&gt;, and &lt;math&gt; q \simeq - 0.39 \,\!&lt;/math&gt; and &lt;math&gt; z \simeq 1.12\,\!&lt;/math&gt; for the square lattice (d = 2).</dd>

<dt>Año</dt>
<dd>1997</dd>

<dt>Número</dt>
<dd>CBPF-NF-030/97</dd>

<dt>Vínculo con tesis</dt>
<dd>No</dd>

<dt>Vínculo con beca</dt>
<dd>No</dd>

</dl>

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```

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