Skip to Main Content

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


MathSciNet review: 1567087
Full text of review: PDF   This review is available free of charge.
Book Information:

Authors: Anthony N. Michel and Richard K. Miller
Title: Qualitative analysis of large scale dynamical systems
Additional book information: Academic Press, New York, 1977, xv + 289 pp., $22.50.

References [Enhancements On Off] (What's this?)

  • V. M. Matrosov, On the theory of stability of motion, J. Appl. Math. Mech. 26 (1962), 1506–1522. MR 0150404, DOI 10.1016/0021-8928(62)90189-2
    • 2.
    V. M. Matrosov, The comparison principle with a vector valued function.I, II, and III, Differential'nye Uravnenija 4 (1968), 1374-1384, 1739-1752; 5 (1969), 1171-1185.
  • V. M. Matrosov, Vector Lyapunov functions in the analysis of nonlinear interconnected systems, Symposia Mathematica, Vol. VI (INDAM, Rome, 1970) Academic Press, London, 1971, pp. 209–242. MR 0280820
  • V. M. Matrosov, The comparison method in the dynamics of systems. I, II, Differencial′nye Uravnenija 10 (1974), 1547–1559, 1730; ibid. 11 (1975), 403–417, 586 (Russian). MR 0374574
    • 5.
    V. Lakshmikantham, Several Lyapunov functions, Proc. of the Fifth Internat. Conference on Nonlinear Oscillation, Kiev, U.S.S.R., 1969, pp. 268-275.
    6.
    V. Lakshmikantham, On the method of vector Lyapunov functions, Proc. Twelfth Annual Allerton Conference on Circuit and System Theory, October, 1974, pp. 71-76.
  • P. Habets and K. Peiffer, Classification of stability-like concepts and their study using vector Lyapunov functions, J. Math. Anal. Appl. 43 (1973), 537–570. MR 333371, DOI 10.1016/0022-247X(73)90090-5
    • 8.
    D. D. Siljak, Stability of large scale systems, Proc. of the IFAC Fifth World Congress, 1972, pp. 1-11.
    9.
    D. D. Siljak, Competitive economic systems; stability, decomposition and aggregation. Proc. of the IEEE Conf. on Decision and Control, 1973, pp. 265-275.
  • Dragoslav D. Šiljak, Stability of large-scale systems under structural perturbations, IEEE Trans. Systems Man Cybernet. SMC-2 (1972), 657–663. MR 316121, DOI 10.1109/TSMC.1972.4309194
  • Dragoslav D. Šiljak, Large-scale dynamic systems, North-Holland Series in System Science and Engineering, vol. 3, North-Holland Publishing Co., New York-Amsterdam, 1979. Stability and structure. MR 595867
  • D. D. Šiljak and M. B. Vukčević, Large-scale systems: stability, complexity, reliability, J. Franklin Inst. 301 (1976), no. 1-2, 49–69. Recent trends in systems theory. MR 411771, DOI 10.1016/0016-0032(76)90132-0
  • G. S. Ladde, Cellular systems. I. Stability of chemical systems, Math. Biosci. 29 (1976), no. 3-4, 309–330. MR 682070, DOI 10.1016/0025-5564(76)90109-7
  • G. S. Ladde, Stability of model ecosystems with time-delay, J. Theoret. Biol. 61 (1976), no. 1, 1–13. MR 414187, DOI 10.1016/0022-5193(76)90099-0
  • Gangaram S. Ladde and Dragoslav D. Šiljak, Connective stability of large-scale stochastic systems, Internat. J. Systems Sci. 6 (1975), no. 8, 713–721. MR 456849, DOI 10.1080/00207727508941855
  • G. S. Ladde and D. D. Šiljak, Stability of multispecies communities in randomly varying environment, J. Math. Biol. 2 (1975), no. 2, 165–178. MR 398570, DOI 10.1007/BF00275926
    • 17.
    G. S. Ladde and D. D. Siljak, Stochastic stability and instability of model ecosystems, Proc. IFAC Sixth World Congress, 1975, pp. 1-7.
    18.
    D. D. Siljak, On the stability of arms race, Chapter 9, in Mathematical Systems in International Relations Research, Edited by J. V. Gillespie and D. A. Zimmes, Praeger Publishers, New York, 1977.
    Review Information:

    Reviewer: V. Lakshmikantham
    Journal: Bull. Amer. Math. Soc. 84 (1978), 937-939
    DOI: https://doi.org/10.1090/S0002-9904-1978-14539-X