On the Origin of Periodicity in Dynamical Systems

Papers about the Origins of Periodicity in Physical Models:

• On the origin of periodicity in dynamical systems
  J.A.C. Gallas,
  Physica A 283, 17-23 (2000).

• Nonlinear dependencies between sets of periodic orbits
  J.A.C. Gallas,
  Europhysics Letters 47, 649-655 (1999).

• Infinite hierarchies of nonlinearly dependent periodic orbits
  J.A.C. Gallas,
  Physical Review E 63, 016216 (2001)

• Arithmetical signatures of the dynamics of the Hénon map
  A. Endler and J.A.C. Gallas,
  Physical Review E 65,  036231 (2002).

• Delayed choice between purely classical states  =  arXiv: physics 0604097
  Jason A.C. Gallas
  

• O novo brilho das equações Abelianas   [The new glow of the Abelian equations],
  Em comemoração do Bicentenário do Nascimento de Abel
  J.A.C. Gallas,
  Boletim da Sociedade Portuguesa de Matemática 47, 1-15 (2002).

• Tradução do artigo de Niels Henrik ABEL (Comemoração do Bicentenário do Nascimento):
  Mémoire sur une classe particulière d'équations résolubles algébriquement,
  Journal für die reine und angewandte Mathematik, 4, 131-156(1829).
  J.A.C. Gallas,
  Boletim da Sociedade Portuguesa de Matemática 47, 17-48(2002).





Review of Basic Facts for Maps and Flows:

• Color figs:   Structure of the parameter space of a ring cavity,
  B&W figs:   Structure of the parameter space of a ring cavity,
  J.A.C. Gallas
  Applied Physics B 60, S203-S213 (1995), Special supplement, Festschrift Herbert Walther.


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