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physics.class-ph2025
Closing a catenary loop: the lariat chain, the string shooter, and the heavy elastica
A. R. Dehadrai, J. A. Hanna
We review, critique, and extend results related to the problem of closed loop shape equilibria of a string shooter, a type of catenary consisting of steady, axially moving configur…
physics.class-ph2021
Exterior dissipation, proportional decay, and integrals of motion
M. Aureli, J. A. Hanna
Given a dynamical system with independent conserved quantities, we construct a multi-parameter family of new systems in which these quantities evolve monotonically and proporti…