96-64 Simanyi N.
The Characteristic Exponents of the Falling Ball Model (206K, POSTSCRIPT) Mar 8, 96
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Abstract. We study the characteristic exponents of the Hamiltonian system of \$n\$ (\$\ge 2\$) point masses \$m_1,\dots,m_n\$ freely falling in the vertical half line \$\{q|\, q\ge 0\}\$ under constant gravitation and colliding with each other and the solid floor \$q=0\$ elastically. This model was introduced and first studied by M. Wojtkowski. Hereby we prove his conjecture: All relevant characteristic (Lyapunov) exponents of the above dynamical system are nonzero, provided that \$m_1\ge\dots\ge m_n\$ (i. e. the masses do not increase as we go up) and \$m_1\ne m_2\$.

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