Tossup

Systems with this property are written as a bilinear system of constant coefficient equations for the tau function in a method created by Ryogo Hirota. Fomenko–Zieschang invariants classify systems with this property. Systems with this property admit operators L and P such that the time derivative of L (10[1])is the commutator of (10[1])L and P. Lax pairs are used when solving (10[2])systems (10[1])with this nonphysical (10[1])property (10[1])using (10[1])the inverse scattering (10[1])transform. Systems with this property remain quasiperiodic under weak perturbation in the usual statement of the KAM theorem. Trajectories in systems with the Liouville form of this property follow invariant (-5[1])tori (“TOR-eye”). Systems with this property, like the KdV equation, (-5[1])have (10[1])infinitely many conserved quantities. (10[1])For 10 points, name this property that dynamical systems have if they can be solved using (10[1])antiderivatives. (10[3]-5[1])■END■ (10[8]0[1])

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