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Binder PM, Okamoto NH. Unstable periodic orbits and discretization cycles. Phys Rev E Stat Nonlin Soft Matter Phys. 2003;68(4):046206doi: 10.1103/PhysRevE.68.046206.
Binder, P. M., & Okamoto, N. H. (2003). Unstable periodic orbits and discretization cycles. Physical review. E, Statistical, nonlinear, and soft matter physics, 68(4), 046206. https://doi.org/10.1103/PhysRevE.68.046206
Binder, P-M, and Okamoto, Nicholas H. "Unstable periodic orbits and discretization cycles." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 68,4 (2003): 046206. doi: https://doi.org/10.1103/PhysRevE.68.046206
Binder PM, Okamoto NH. Unstable periodic orbits and discretization cycles. Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Oct;68(4):046206. doi: 10.1103/PhysRevE.68.046206. Epub 2003 Oct 22. PMID: 14683034.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Oct;68(4):046206. doi: 10.1103/PhysRevE.68.046206. Epub 2003 Oct 22.

Unstable periodic orbits and discretization cycles.

Physical review. E, Statistical, nonlinear, and soft matter physics

P-M Binder, Nicholas H Okamoto

Affiliations

  1. Department of Physics and Astronomy, University of Hawaii, Hilo, Hawaii 96720-4091, USA. [email protected]

PMID: 14683034 DOI: 10.1103/PhysRevE.68.046206

Abstract

Limit cycles that arise from discretizing the variable(s) of a nonlinear map are generally found to shadow individual unstable periodic orbits (UPOs) of the corresponding continuous map. In a few cases the discretization cycles can only be explained with other mechanisms, such as the near-occurrence of an UPO, or crossover between two or more UPOs.

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