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For a system of linear ordinary differential equations with constant coefficients a simple proof is given that hyperbolicity is equivalent to shadowing.
Ombach, Jerzy. "Shadowing for linear systems of differential equations.." Publicacions Matemàtiques 37.2 (1993): 245-253. <http://eudml.org/doc/41528>.
@article{Ombach1993, abstract = {For a system of linear ordinary differential equations with constant coefficients a simple proof is given that hyperbolicity is equivalent to shadowing.}, author = {Ombach, Jerzy}, journal = {Publicacions Matemàtiques}, keywords = {Sistemas dinámicos; Ecuaciones diferenciales ordinarias; Ecuaciones diferenciales lineales; Sistemas lineales; system of linear ordinary differential equations with constant coefficients; hyperbolicity; shadowing; pseudo-orbits tracing property}, language = {eng}, number = {2}, pages = {245-253}, title = {Shadowing for linear systems of differential equations.}, url = {http://eudml.org/doc/41528}, volume = {37}, year = {1993}, }
TY - JOUR AU - Ombach, Jerzy TI - Shadowing for linear systems of differential equations. JO - Publicacions Matemàtiques PY - 1993 VL - 37 IS - 2 SP - 245 EP - 253 AB - For a system of linear ordinary differential equations with constant coefficients a simple proof is given that hyperbolicity is equivalent to shadowing. LA - eng KW - Sistemas dinámicos; Ecuaciones diferenciales ordinarias; Ecuaciones diferenciales lineales; Sistemas lineales; system of linear ordinary differential equations with constant coefficients; hyperbolicity; shadowing; pseudo-orbits tracing property UR - http://eudml.org/doc/41528 ER -