This paper presents methods using algebraic topology for showing that pseudo-trajectories are close to trajectories of a dynamical system. Our emphasis is the case where the trajectories are unstable in two or more dimensions. We develop the algebraic topology for guaranteeing the existence of such trajectories.
CITATION STYLE
Kennedy, J., & Yorke, J. A. (2008). Shadowing in higher dimensions. In Progress in Nonlinear Differential Equations and Their Application (Vol. 75, pp. 241–246). Springer US. https://doi.org/10.1007/978-3-7643-8482-1_19
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