Potentials unbounded below

Thomas Curtright

doi:10.3842/SIGMA.2011.042

Potentials unbounded below

Thomas Curtright

Physics

Research output: Contribution to journal › Article

3 Scopus citations

Abstract

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.

Original language	English (US)
Article number	042
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	7
DOIs	https://doi.org/10.3842/SIGMA.2011.042
State	Published - Dec 1 2011

Keywords

Beverton-holt model
Classical dynamical systems
Functional conjugation methods
Skellam model

ASJC Scopus subject areas

Analysis
Mathematical Physics
Geometry and Topology

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10.3842/SIGMA.2011.042

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Curtright, T. (2011). Potentials unbounded below. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 7, [042]. https://doi.org/10.3842/SIGMA.2011.042

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