MARC Record from Library of Congress

LEADER: 03044cam a22003377i 4500
001 2014395672
003 DLC
005 20140723082817.0
008 140717t20122012enka b 001 0 eng d
010 $a 2014395672
020 $a9781908106254
020 $a1908106255
035 $a(OCoLC)ocn858126243
040 $aYDXCP$beng$cYDXCP$erda$dCUI$dMUU$dDLC
042 $alccopycat
050 00 $aQA372$b.I985 2012
100 1 $aIzobov, N. A.$q(Nikolaĭ Alekseevich),$eauthor.
245 10 $aLyapunov exponents and stability /$cN.A. Izobov, Institute of Mathematics, National Academy of Belarus, Minsk, Belarus.
264 1 $aCambridge, UK :$bCSP/Cambridge Scientific Publishers,$c[2012]
264 4 $c©2012
300 $axviii, 353 pages :$billustrations ;$c24 cm.
336 $atext$2rdacontent
337 $aunmediated$2rdamedia
338 $avolume$2rdacarrier
490 1 $aStability oscillations and optimization of systems ;$vvolume 6.
504 $aIncludes bibliographical references (pages 327-351) and index.
505 0 $a1. The Lyapunov characteristic exponent and its properties -- 2. The lower Perron exponent and its properties -- 3. Central, exponential, and general exponents of a linear system -- 4. Millionschikov's method of rotations. Attainability of central and exponential exponents and their instability -- 5. Mutual arrangement of characteristic, exponential central and general exponents of linear systems -- 6. Lyapunov transformations -- 7. On the freezing method -- 8. Linear systems under exponentially decreasing perturbations -- 9. The higher sigma-exponent of a linear system -- 10. Stability of characteristic exponents of linear systems -- 11. Asymptotic stability by linear approximation.
520 3 $aThe monograph contains the necessary information from the modern theory of Lyapunov characteristic exponents of ordinary linear differential systems. It is mainly dedicated to the brief description of the results obtained by the author, connected with the development of the following parts: the theory of Perron lower exponents, the freezing method, the theory of exponential and sigma-exponents and their connection with characteristic, central, and general exponents, the dependence of characteristic exponents of linear systems on exponentially decreasing perturbation and the theory of their stability with respect to small perturbations. As an application of those results the author considered the Lyapunov problem on the exponential stability of an ordinary differential system by linear approximation. In the monograph the method of rotations by V.M.Millionschikov is systematically used. This volume is intended for specialists in the asymptotic theory of ordinary differential systems and the stability theory, for post-graduates and students specialized in the field of differential equations.--$cSource other than Library of Congress.
650 0 $aLyapunov exponents.
650 0 $aDifferential equations, Linear.
830 0 $aStability oscillations and optimization of systems ;$vv.6.