We clarify the explici structure of the Hurwitz quaternion order, which is of fundamental importance in Riemann surface theory.

This paper reviews the problem of a thin rigid rod sliding on a horizontal surface in the plane, which is commonly cited as an example of the inconsistency of planar rigid-body Newtonian mechanics. We demonstrate the existence of a consistent solution, using Routh's analysis of rigid-body impact. Copyright © 1987 Carnegie-Mel lon University This work was supported under grants from the System D...

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It is often noticed in the literature that some key results on stability of discrete-time systems difference equations are obtained from their corresponding continuous-time differential using suitable conformal mappings or bilinear transformations. Such observations lead to search for a unified approach study root distribution real and complex polynomials, with respect left-half plane (Routh–Hu...

in this paper, we have proposed a study on controllability and optimal harvestingof a prey predator model and mathematical non linear formation of the equation equilibriumpoint of routh harvest stability analysis. the problem of determining the optimal harvestpolicy is solved by invoking pontryagin0s maximum principle dynamic optimization of theharvest policy is studied by taking the combined h...

Lucas Goehring, 2, 3 Rebecca Conroy, Asad Akhter, William J. Clegg, and Alexander F. Routh 3, ∗ Department of Chemical Engineering and Biotechnology, University of Cambridge, Pembroke Street, Cambridge, UK, CB2 3RA Department of Materials Science and Metallurgy, University of Cambridge, Pembroke Street, Cambridge, UK, CB2 3QZ BP Institute for Multiphase Flow, University of Cambridge, Madingley ...

Abstract. Based on facts of time delay will influence dynamical behavior and control theory is more appropriate to reflect the natural rule, constructed a predator-prey control model with two delays,choose the two delays as the bifurcation parameter,according to the Routh-Hurwize discriminant method,we studied the local stability and Hopf branch of the control system.The sufficient conditions f...