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Linearization of polynomial flows and spectra of derivations
We show that a polynomial flow is a solution of a linear ordinary differential equation. From this, we draw conclusions about the possible dynamics...
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P
π-Separable Group - A group which has a normal series such that the order of every factor contains at most one prime from π (π is a set of prime...
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Automatic determination of dynamical symmetries of ordinary differential equations
We describe the application of a computer program CRACKSTAR for the exact analytic solution of overdetermined systems of differential equations which...
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I
Icosahedral Space - The three-dimensional space that is the orbit space of the action of the binary icosahedron group on the...
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Lax representation with spectral parameter on a torus for integrable particle systems
Complete integrability is proved for the most general class of systems of interacting particles on a straight line with the Hamiltonian including...
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Riccati’s differential equation in birth-death processes
This note reviews the occurrence of Riccati’s equation in three birth-death type processes, and outlines their solutions.
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On solving certain differential equations with variable coefficients
We show how to solve certain types of linear ordinary differential equations with variable coefficients by using Appell polynomials.