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Showing 2014Show all
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math.AT2014
Big fundamental groups: generalizing homotopy and big homotopy
Keith Penrod
The concept of big homotopy theory was introduced by J. Cannon and G. Conner using big intervals of arbitrarily large cardinality to detect big loops. We find, for each space, a ca…
nlin.CD2014
Nonlinear-damped Duffing oscillators having finite time dynamics
Ronald E. Mickens, Ray Bullock, Warren E. Collins +1
A class of modified Duffing oscillator differential equations, having nonlinear damping forces, are shown to have finite time dynamics, i.e., the solutions oscillate with only a fi…