ON THE PERIOD-MULTIPLYING BIFURCATION OF GLACIAL CYCLES IN THE PLIOCENE – PLEISTOCENE
Cite this article as:
Vakulenko N. ., Ivashchenko N. N., Kotlyakov V. M., Sonechkin D. М. 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: https://doi.org/10.18500/0869-6632-2013-21-2-88-112
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 period-doubling 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.
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BibTeX
author = {N. V. Vakulenko and N. N. Ivashchenko and V. M. Kotlyakov and D. М. Sonechkin},
title = {ON THE PERIOD-MULTIPLYING BIFURCATION OF GLACIAL CYCLES IN THE PLIOCENE – PLEISTOCENE},
year = {2013},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {21},number = {2},
url = {https://old-andjournal.sgu.ru/en/articles/on-the-period-multiplying-bifurcation-of-glacial-cycles-in-the-pliocene-pleistocene},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2013-21-2-88-112},pages = {88--112},issn = {0869-6632},
keywords = {Paleoclimatology,Pliocene – Pleistocene glacial cycles,wavelet analysis,period- multiplying bifurcations.},
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 period-doubling 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. }}