References
F. Brauer andJ. Wong, On the asymptotic relationships between solutions of two systems of ordinary differential equations,J. Differential Equations 6 (1969), 527–543.
E. A. Coddington andN. Levinson,Theory of Ordinary Differential Equations, McGraw-Hill, New York, 1955.
W. A. Coppel, Dichotomies and reducibility,J. Differential Equations 3 (1967), 500–521.
W. A. Coppel, Dichotomies and reducibility II,J. Differential Equations 4 (1968), 386–398.
W. A. Coppel,Stability and Asymptotic Behavior, Heath, Boston, 1965.
W. H. Fleming,Functions of Several Variables, Addison-Wesley, Reading, Mass., 1965.
D. M. Grobman, Topological equivalence in the large for systems of differential equations,Mat. Sbornik 2 (1967).
J. K. Hale,Ordinary Differential Equations, Wiley-Interscience, New York, 1969.
P. Hartman,Ordinary Differential Equations, Wiley, New York, 1964.
A. Strauss andJ. A. Yorke, Linear perturbations of ordinary differential equations,Proc. Amer. Math. Soc. 26 (1970), 255–260.
A. Strauss andJ. A. Yorke, Perturbation theorems for ordinary differential equations,J. Differential Equations 3 (1967), 15–30.
A. Strauss andJ. A. Yorke, Perturbing Uniformly Asymptotically Stable Nonlinear Systems,J. Differential Equations 6 (1969), 452–483.
T. Yoshizawa,Stability Theory by Lyapunov's Second Method, The Mathematical Society of Japan, Tokyo, 1966.
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Haigh, T. Linearization and asymptotic behavior. Math. Systems Theory 9, 18–29 (1975). https://doi.org/10.1007/BF01698122
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DOI: https://doi.org/10.1007/BF01698122