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) |
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Article number | 042 |
Journal | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
Volume | 7 |
DOIs | |
State | Published - 2011 |
Keywords
- Beverton-holt model
- Classical dynamical systems
- Functional conjugation methods
- Skellam model
ASJC Scopus subject areas
- Analysis
- Mathematical Physics
- Geometry and Topology