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2013•Shuxue de shijian yu renshiRequires access

The Slow Manifold Analysis of L's System

Lu Li

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Abstract

In this paper,the L's system' s slow manifold is discussed.The Ls' system can be regarded as a slow-fast autonomous dynamical system by a parameter mapping.Based on the geometric singular perturbation method,slow manifold M_eis solved details by the Fenichel' s first Theorem.With the given parameters,the orbit of L's system and manifold of the L's system are made by Matlab.In the last,we analysize qualitatively the dynamical behavior of the L's System on the slow manifold.

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What this paper is about

In this paper,the L's system' s slow manifold is discussed.The Ls' system can be regarded as a slow-fast autonomous dynamical system by a parameter mapping.Based on the geometric singular perturbation method,slow manifold M_eis solved details by the Fenichel' s first Theorem.With the given parameters,the orbit of L's system and manifold of the L's system are made by Matlab.In the last,we analysize qualitatively the dynamical behavior of the L's System on the slow manifold.

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Available abstract

In this paper,the L's system' s slow manifold is discussed.The Ls' system can be regarded as a slow-fast autonomous dynamical system by a parameter mapping.Based on the geometric singular perturbation method,slow manifold M_eis solved details by the Fenichel' s first Theorem.With the given parameters,the orbit of L's system and manifold of the L's system are made by Matlab.In the last,we analysize qualitatively the dynamical behavior of the L's System on the slow manifold.

Key concepts: Slow manifold, Manifold (fluid mechanics), Invariant manifold, Center manifold, Perturbation (astronomy), Dynamical systems theory, Singular perturbation, MATLAB

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