51 citations · 89 across the 5 of their papers we have counts for
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nlin.CD2002★ 12 cited
Analytical perturbative approach to periodic orbits in the homogeneous quartic oscillator potential
M. Brack, S. N. Fedotkin, A. G. Magner +1
We present an analytical calculation of periodic orbits in the homogeneous quartic oscillator potential. Exploiting the properties of the periodic Lam{é} functions that describe th…
nlin.CD2002★ 51 cited
Semiclassical theory of spin-orbit interactions using spin coherent states
M. Pletyukhov, Ch. Amann, M. Mehta +1
We formulate a semiclassical theory for systems with spin-orbit interactions. Using spin coherent states, we start from the path integral in an extended phase space, formulate the…
nlin.CD2001★ 24 cited
Occurrence of periodic Lamé functions at bifurcations in chaotic Hamiltonian systems
M. Brack, M. Mehta, K. Tanaka
We investigate cascades of isochronous pitchfork bifurcations of straight-line librating orbits in some two-dimensional Hamiltonian systems with mixed phase space. We show that the…