ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Vakulenko N. V., Ivashchenko N. N., Kotlyakov V. M., Sonechkin D. M. On the period-multiplying bifurcation of glacial cycles in the pliocene – pleistocene. Izvestiya VUZ. Applied Nonlinear Dynamics, 2013, vol. 21, iss. 2, pp. 88-112. DOI: 10.18500/0869-6632-2013-21-2-88-112

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Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
551.324
DOI: 
10.18500/0869-6632-2013-21-2-88-112

On the period-multiplying bifurcation of glacial cycles in the pliocene – pleistocene

Autors: 
Vakulenko N. V., P.P Shershov Institue of Oceanology
Ivashchenko Nadezhda Nazarovna, Hydrometeorological Research Centre of Russian Federation
Kotlyakov Vladimir Mihajlovich, Institute of Geography of Russian Academy of Sciences
Sonechkin Dmitrij Mihajlovich, Hydrometeorological Research Centre of Russian Federation
Abstract: 

In the Pliocene (about five – two million years before present) global climate fluctuated with a period corresponding well 41-thousand-year cycle of changes in the Earth’s axis inclination to the ecliptic plane. Then, this period has disappeared, despite the fact that the 41-thousand-year cycle even slightly increased its scope and, therefore, the response to it would have only strengthened. By analyzing paleoclimatic series covering the Pliocene and subsequent Pleistocene, we show that the response of the climate system simply became unstable and therefore unobservable. At the same time, through perioddoubling bifurcation, a well-known in the theory of nonlinear dynamical systems, new stable and observable climatic oscillations have been excited. Further, they experienced several secondary bifurcations, at which their periods alternately tripled and doubled again.

Key words: 
Paleoclimatology
Pliocene – Pleistocene glacial cycles
wavelet analysis
periodmultiplying bifurcations
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Received: 
23.11.2012
Accepted: 
23.11.2012
Published: 
31.07.2013
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