Bifurcations and strange nonchaotic attractors in a phase oscillator model of glacial–interglacial cycles
(2015) Physica D: Nonlinear Phenomena — Vol. 306, p. 25-33 (2015)
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Mitsui, Takahito 
- Abstract
- Glacial-interglacial cycles are large variations in continental ice mass and greenhouse gases, which have dominated climate variability over the Quaternary. The dominant periodicity of the cycles is ∼40 kyr before the so-called middle Pleistocene transition between ∼1.2 and ∼0.7 Myr ago, and it is ∼100 kyr after the transition. In this paper, the dynamics of glacial-interglacial cycles are investigated using a phase oscillator model forced by the time-varying incoming solar radiation (insolation). We analyze the bifurcations of the system and show that strange nonchaotic attractors appear through nonsmooth saddle-node bifurcations of tori. The bifurcation analysis indicates that mode-locking is likely to occur for the 41 kyr glacial cycles but not likely for the 100 kyr glacial cycles. The sequence of mode-locked 41 kyr cycles is robust to small parameter changes. However, the sequence of 100 kyr glacial cycles can be sensitive to parameter changes when the system has a strange nonchaotic attractor.
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Mitsui, T., Crucifix, M., & Aihara, K. (2015). Bifurcations and strange nonchaotic attractors in a phase oscillator model of glacial–interglacial cycles. Physica D: Nonlinear Phenomena, 306, 25-33. https://doi.org/10.1016/j.physd.2015.05.007 (Original work published 2015)