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  • 1
    Electronic Resource
    Electronic Resource
    Instability of the Periodic Motion of a Particle Interacting with a Scalar Wave Field (1998)
    Springer
    Communications in mathematical physics 195 (1998), S. 509-523 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract: We consider the system of a point particle, accelerated through a confining potential, and interacting with a scalar wave field. We prove that the periodic solutions of the linearized system (which has an eigenvalue embedded in the continuous spectrum) do not survive perturbation through the nonlinearity, if some “mode” of the wave field does not couple to the particle.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002200050400
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