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N.A. Izobov (2012)
Lyapunov Exponents and Stability
N. Izobov, S. Korovin (2012)
Multidimensional analog of the two-dimensional perron effect of sign change of characteristic exponents for infinitely differentiable differential systemsDifferential Equations, 48
A.V. Il’in, N.A. Izobov (2015)
Perron Effect of Infinite Change of Values of Characteristic Exponents in Any Neighborhood of the OriginDiffer. Uravn., 51
(2016)
Variant of Perron Effect of the Change of Characteristic Exponents of Solutions Issuing from Finitely Many Points and Axes, Differ
(2006)
Khaoticheskaya dinamika i klassicheskaya teoriya ustoichivosti dvizheniya (Chaotic Dynamics and Classical Theory of Motion Stability)
(1964)
Counterexamples in Analysis, San-Francisko
A.V. Il’in, N.A. Izobov (2013)
Finite-Dimensional Perron Effect of Change of All Values of Characteristic Exponents of Differential SystemsDiffer. Uravn., 49
N. Izobov, A. Il'in (2015)
Perron effect of infinite change of values of characteristic exponents in any neighborhood of the originDifferential Equations, 51
S. Korovin, N. Izobov (2010)
On the perron sign change effect for Lyapunov characteristic exponents of solutions of differential systemsDifferential Equations, 46
S.K. Korovin, N.A. Izobov (2010)
Realization of the Perron Effect for the Change of Values of the Characteristic Exponents of Solutions of Differential SystemsDiffer. Uravn., 46
N. Izobov, A. Il'in (2013)
Finite-dimensional Perron effect of change of all values of characteristic exponents of differential systemsDifferential Equations, 49
O. Perron (1930)
Die Stabilitätsfrage bei DifferentialgleichungenMathematische Zeitschrift, 32
S.K. Korovin, N.A. Izobov (2010)
On the Perron Sign-Change Effect for Lyapunov Characteristic Exponents of Solutions of Differential SystemsDiffer. Uravn., 46
S.K. Korovin, N.A. Izobov (2012)
Multidimensional Analog of the Two-Dimensional Perron Effect of Sign Change of Characteristic Exponents for Infinitely Differentiable Differential SystemsDiffer. Uravn., 48
B. Gelbaum, J. Olmsted (1967)
Counterexamples in Analysis
G.A. Leonov (2006)
Khaoticheskaya dinamika i klassicheskaya teoriya ustoichivosti dvizheniya
A.V. Il’in, N.A. Izobov (2014)
An Infinite Variant of the Perron Effect of Change of Sign of Characteristic Exponents of Differential SystemsDokl. Akad. Nauk, 457
(1964)
Translated under the title Kontrprimery v analize
We realize a version of the Perron sign reversal effect for the characteristic exponents of a two-dimensional differential system; the exponents are negative for the linear approximation system and positive for the nontrivial solutions of the full nonlinear system with a higher-order perturbation in a neighborhood of the origin and with initial data on an arbitrary finite set of points and lines on the plane R 2.
Differential Equations – Springer Journals
Published: Jan 6, 2017
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