Potentials Unbounded Below

Autor: Thomas Curtright
Jazyk: angličtina
Rok vydání: 2011
Předmět:
Zdroj: Symmetry, Integrability and Geometry: Methods and Applications, Vol 7, p 042 (2011)
Druh dokumentu: article
ISSN: 1815-0659
DOI: 10.3842/SIGMA.2011.042
Popis: Continuous interpolates are described for classical dynamical systems defined by discrete time-steps. Functional conjugation methods play a central role in obtaining the interpolations. The interpolates correspond to particle motion in an underlying potential, V. Typically, V has no lower bound and can exhibit switchbacks wherein V changes form when turning points are encountered by the particle. The Beverton-Holt and Skellam models of population dynamics, and particular cases of the logistic map are used to illustrate these features.
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