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The renormalization group and optimization of non-extensive entropy: Criticality in nonlinear one-dimensional maps

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Publication:1850378
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DOI10.1016/S0378-4371(02)01177-9zbMath1001.82051OpenAlexW2092304378MaRDI QIDQ1850378

Alberto Robledo

Publication date: 3 December 2002

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4371(02)01177-9


zbMATH Keywords

bifurcationsperiod-doubling cascadefixed-point map


Mathematics Subject Classification ID

Renormalization group methods in equilibrium statistical mechanics (82B28) Critical phenomena in equilibrium statistical mechanics (82B27) Generic properties, structural stability of dynamical systems (37C20) Statistical thermodynamics (82B30)


Related Items (2)

Generalized statistical mechanics at the onset of chaos ⋮ Criticality in nonlinear one-dimensional maps: RG universal map and nonextensive entropy




Cites Work

  • Power-law sensitivity to initial conditions---new entropic representation
  • Sporadicity: Between periodic and chaotic dynamical behaviors
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