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Strogatz, S.H. (2000) Nonlinear Dynamics and Chaos with Applications to Physics, Biology, Chemistry and Engineering. Perseus Publishing, Cambridge.

has been cited by the following article:

• TITLE: Uncertainty Principle and Bifurcations in the SU(2) Nonlinear Semiquantum Dynamics

  AUTHORS: Roberta Hansen, Claudia M. Sarris, Angelo Plastino

  KEYWORDS: Semiquantum Dynamics, Uncertainty Principle, Fixed Points, Bifurcation Curves

  JOURNAL NAME: Applied Mathematics, Vol.9 No.1, January 11, 2018

  ABSTRACT: In this paper, a nonlinear semiquantum Hamiltonian associated to the special unitary group SU(2) Lie algebra is studied so as to analyze its dynamics. The treatment here applied allows for a reduction in: 1) the system’s dimension, as well as 2) the number of system’s parameters (to only three). We can now discern clear patterns in: 1) the complete characterization of the system’s fixed points and 2) their stability. It is shown that the parameter associated to the uncertainty principle, which constitutes a very strong constraint, is the key one in determining the presence of fixed points and bifurcation curves in the parameter’s space.