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Impulsive motion on synchronized spatial temporal grids

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  • We introduce a family of kinetic vector fields on countable space-time grids and study related impulsive second order initial value Cauchy problems. We then construct special examples for which orbits and attractors display unusual analytic and geometric properties.

    Mathematics Subject Classification: 34A37, 37C35, 28A80, 34D45, 37B55, 65L05.


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  • Figure 1.  $\Gamma^{\beta, n}$ for different $\beta$

    Figure 2.  Ring-like $\Gamma^{\beta, n}$

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