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- W1978034504 abstract "Abstract The present research work proposes a new approach to the problem of finding invariant manifolds for nonlinear real analytic dynamical systems. The formulation of the problem is conveniently realized through a system of singular first-order quasi-linear partial differential equations (PDEs) and a rather general set of conditions for solvability is derived using Lyapunov's auxiliary theorem. The solution of the aforementioned system of PDEs is proven to be a locally analytic invariant manifold that under certain conditions coincides with the stable or unstable manifold, and which can be easily computed with the aid of a symbolic software package." @default.
- W1978034504 created "2016-06-24" @default.
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- W1978034504 date "2000-07-01" @default.
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- W1978034504 title "Singular PDEs and the problem of finding invariant manifolds for nonlinear dynamical systems" @default.
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- W1978034504 doi "https://doi.org/10.1016/s0375-9601(00)00451-5" @default.
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