Bifurcation and unfolding in systems with two timescales

Statistics – Computation

Scientific paper

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Branching (Mathematics), Dynamic Models, Equilibrium Equations, Stellar Evolution, Computational Astrophysics, Energy Dissipation, Fluid Dynamics, Geophysics

Scientific paper

Quasi-steady-state approximate mathematical models of dynamical processes with two time scales (such as stellar evolution) are examined analytically, with a focus on the behavior of the models near bifurcation points. Consideration is given to dissipative dynamics, unfoldings, conservative dynamics, and self-gravitating fluids. The patterns revealed by the analysis are shown in graphs and diagrams and discussed in detail.

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