Heat capacity of logistic maps with bidirectional coupling

Abstract

The energy spectra and the heat capacity of two bidirectionally coupled logistics maps obtained from direct numerical simulations are presented. Varying the coupling strength changes the onset of chaos in both maps. In some cases, synchronization in the orbits and heat capacity oscillations of coupled maps are also observed. It is found that the logarithmic-periodic oscillations in the heat capacity of uncoupled logistic maps are no longer observed upon introduction of dissipative coupling.