The book An Asymptotic Analysis of An Expanding Detonation was written by author James Jones Here you can read free online of An Asymptotic Analysis of An Expanding Detonation book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is An Asymptotic Analysis of An Expanding Detonation a good or bad book?
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The linear part of (5. 4) at (±v^, 0)is A = V (0 -a. ±v. There is a double zero eigenvalue at the origin, and only one eigenspace (the V axis). This is a double zero bifurcation point, about which more will be said later. When v = v^ (resp. -v^), there is one zero eigenvalue, with the v axis as corresponding eigenspace, and one positive (resp. Negative) eigen- value with a corresponding unstable (resp. Stable) separatrix solution. These are simple zero bifurcation points which vanish for k posi...tive. The v axis is the common center manifold for the bifurcation points. If the factor of X is removed from the vector field (5. 4) the resulting modified vector field has the same phase curves as the original field except along X = 0. This modified field has no critical points and thus possesses a continuous structurally stable flow. The phase flow of (5. 4) thus consists of -30 a line of critical points superimposed over a continuous one parameter family of phase curves. Setting k = in (5.
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