40220

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

TQ-bifurcations in discrete dynamical systems: Analysis of qualitative rearrangements of the oscillation mode

DOI: 

10.1134/S1063776116090144

Наименование источника: 

  • Journal of Experimental and Theoretical Physics

Обозначение и номер тома: 

Vol. 123, Issue 4

Город: 

  • Berlin

Издательство: 

  • Pleiades Publishing, Inc.

Год издания: 

2016

Страницы: 

pp. 666–676
Аннотация
A new class of bifurcations is defined in discrete dynamical systems, and methods for their diagnostics and the analysis of their properties are presented. The TQ-bifurcations considered are implemented in discrete mappings and are related to the qualitative rearrangement of the shape of trajectories in an extended space of states. Within the demonstration of the main capabilities of the toolkit, an analysis is carried out of a logistic mapping in a domain to the right of the period-doubling limit point. Five critical values of the parameter are found for which the geometric structure of the trajectories of the mapping experiences a qualitative rearrangement. In addition, an analysis is carried out of the so-called “trace map,” which arises in the problems of quantum-mechanical description of various properties of discrete crystalline and quasicrystalline lattices.

Библиографическая ссылка: 

Макаренко А.В. TQ-bifurcations in discrete dynamical systems: Analysis of qualitative rearrangements of the oscillation mode // Journal of Experimental and Theoretical Physics. 2016. Vol. 123, Issue 4. С. pp. 666–676.

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Да

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