Abstract: In this paper we discuss invariant manifolds and stability analysis (stable and unstable manifold) associated to the fixed point of a dynamical system. We explain the significance of eigenvalues of Jacobian matrix and we consider some examples. We conclude with applications of these concepts.
Keywords: invariant manifolds, dynamical system, Jacobian matrix.
Title: Applications of Invariant Manifold
Author: M. A. Bashier, N. A. Ahmed
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
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