Proof of nonintegrability of the spin-1 bilinear-biquadratic chain model
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DOI: 10.1103/physrevb.111.134444
Abstract: Spin-$1$ chain models have been extensively studied in condensed matter physics, significantly advancing our understanding of quantum magnetism and low-dimensional systems, which exhibit unique properties compared to their spin-$1/2$ counterparts. Despite substantial progress in this… read more here.
Keywords: bilinear biquadratic; model; spin; proof nonintegrability ... See more keywords
Nonintegrability of Parametrically Forced Nonlinear Oscillators
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DOI: 10.1134/s156035471803005x
Abstract: We discuss nonintegrability of parametrically forced nonlinear oscillators which are represented by second-order homogeneous differential equations with trigonometric coefficients and contain the Duffing and van der Pol oscillators as special cases. Specifically, we give sufficient… read more here.
Keywords: nonintegrability; nonintegrability parametrically; nonlinear oscillators; forced nonlinear ... See more keywords