The stability of the helical equilibrium is analyzed with phase plane method , and an analytical criterion of stability is revealed
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Linear and nonlinear oscillations , relaxation . phase plane methods and multiple scales . application to celestial mechanics and mechanical vibrations
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In addition , by phase plane method we obtain the existence of travelling fronts ( al ) connecting two adjacent equilibria under the assumptions that f " is bounded and that of viscous shock waves c connecting two adjacent saddle points with / a convex function