Abstract
A basic method of solving nonlinear dynamical problems is by perturbation from known, integrable solutions. Given these, we seek “the integrable solutions” to a “nearby” system by expanding in the small parameter ϵ by which the two systems differ. For example, if the nearby system is slightly nonlinear, then the linearized motion may be obtained directly, and the nonlinear perturbation found as a series solution.
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© 1992 Springer Science+Business Media New York
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Lichtenberg, A.J., Lieberman, M.A. (1992). Canonical Perturbation Theory. In: Regular and Chaotic Dynamics. Applied Mathematical Sciences, vol 38. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2184-3_2
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DOI: https://doi.org/10.1007/978-1-4757-2184-3_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3100-9
Online ISBN: 978-1-4757-2184-3
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