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Phase Space Dynamics of a System with Arrows Representation

This presentation file explores the dynamics of a system characterized by variables 'u' and 'T'. It includes detailed expressions for the derivatives of these variables based on physical parameters such as 'A', 'dP', 'dA', and 'k'. The arrows field type visually represents the flow of the system in phase space, providing insights into its behavior under varying conditions. The file consists of 20 points to illustrate the dynamics effectively, aiding in the understanding of complex interactions within the system.

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Phase Space Dynamics of a System with Arrows Representation

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  1. %% PPLANE file %% H.name = 'u_T_phase.pps'; H.xvar = 'u'; H.yvar = 'T'; H.xder = '(A*dP*(-1+k) - dA*k*T)*u/denom'; H.yder = '(dA*T*u*u - A*dP*T)/denom'; H.pname = {'A','dP','dA','denom','k',''}; H.pval = {'4*pi*t^2','0','8*pi*t','A*(u.^2+k*(T-u.^2))','(1.4-1)/1.4',''}; H.fieldtype = 'arrows'; H.npts = 20; H.wind = [-4 0 0 4];

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