The quasi-resonance properties of periodically excited logistically selected one-parameter maps

E. V. Evdokimov, K. E. Evdokimov, Yu A. Kreidun, Aleksandr Vasilievich Shapovalov

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Abstract

The quasi-resonance properties of the destochastization of iterations of logistically selected maps under periodic parameter perturbations are studied. The bifurcation properties under the conditions of amplitude and perturbation period variations are considered. It is shown that, unlike classical unimodal resonance curves, the values determining resonance destochastization are characterized by a split structure in the resonance region, where closely spaced equal maxima are observed. The properties of this structure are described.

Original languageEnglish
Pages (from-to)1805-1810
Number of pages6
JournalRussian Journal of Physical Chemistry A
Volume71
Issue number11
Publication statusPublished - Nov 1997

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perturbation
iteration
curves

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

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The quasi-resonance properties of periodically excited logistically selected one-parameter maps. / Evdokimov, E. V.; Evdokimov, K. E.; Kreidun, Yu A.; Shapovalov, Aleksandr Vasilievich.

In: Russian Journal of Physical Chemistry A, Vol. 71, No. 11, 11.1997, p. 1805-1810.

Research output: Contribution to journalArticle

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