Prolongations and stability in dynamical systems
Annales de l'institut Fourier (1964)
- Volume: 14, Issue: 2, page 237-267
- ISSN: 0373-0956
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topAuslander, J., and Seibert, P.. "Prolongations and stability in dynamical systems." Annales de l'institut Fourier 14.2 (1964): 237-267. <http://eudml.org/doc/73841>.
@article{Auslander1964,
author = {Auslander, J., Seibert, P.},
journal = {Annales de l'institut Fourier},
keywords = {ordinary differential equations},
language = {eng},
number = {2},
pages = {237-267},
publisher = {Association des Annales de l'Institut Fourier},
title = {Prolongations and stability in dynamical systems},
url = {http://eudml.org/doc/73841},
volume = {14},
year = {1964},
}
TY - JOUR
AU - Auslander, J.
AU - Seibert, P.
TI - Prolongations and stability in dynamical systems
JO - Annales de l'institut Fourier
PY - 1964
PB - Association des Annales de l'Institut Fourier
VL - 14
IS - 2
SP - 237
EP - 267
LA - eng
KW - ordinary differential equations
UR - http://eudml.org/doc/73841
ER -
References
top- [1] J. AUSLANDER and P. SEIBERT, Prolongations and generalized Liapunov functions, Internat. Sympos. on Nonlinear Differential Equations and Nonlinear mechanics, Colorado Springs, 1961. Published: New York, London, 1963. Zbl0132.32204
- [2] W. H. GOTTSCHALK and G. A. HEDLUND, Topological Dynamics, Amer. Math. Soc. Colloquium Publ., Vol, XXXVI (1955). Zbl0067.15204MR17,650e
- [3] J. L. KELLEY, General Topology, New York, 1955. Zbl0066.16604MR16,1136c
- [4] J. P. LASALLE, The extent of asymptotic stability, Proc. Nat. Acad. Sci. U.S.A., 46 (1960), pp. 363-365. Zbl0094.28602MR22 #3855
- [5] J. P. LASALLE, Some extensions of Liapunov's second method, IRE Transactions on Circuit Theory, CT-7, 1960, pp. 520-527.
- [6] S. LEFSCHETZ, Liapunov and stability in dynamical systems, Boletin Soc. Mat. Mexicana, (2) 3 (1958), pp. 25-39. Zbl0098.28901
- [7] I. G. MALKIN, Ob ustoĠčivosti pri postoianno deĠstvuiuščikh wozmuščeniakh, Priklad. Mat. i Mekh. 8 (1944), pp. 241-245. Zbl0061.19504
- [8] I. G. MALKIN, Theory of Stability of Motion, AEC-tr-3352 (1958). Original: Teoria ustoičivosti dwiženia, Gos. Izdat. Tekh. - Teoret. Lit., Moscow, 1952.
- [9] P. MENDELSON, On unstable attractors, Boletin Soc. Mat. Mexicana (2) 5 (1960), pp. 270-276. Zbl0101.30301MR25 #2297
- [10] N. N. NEMYTSKII and N. N. STEPANOV, Qualitative Theory of Differential Equations, Princeton 1960. Original: Kačestvennaya teoria differencialnykh uravneniĠ, Moscow-Leningrad, 1947. Zbl0089.29502
- [11] P. SEIBERT, Ueber Stabilität unter ständig wirkenden Störungen in dynamischen Systemen, Archiv d. Math., 15, (1964) pp. 108-114. Zbl0122.09304MR29 #338
- [12] T. URA, Sur les courbes définies par les équations différentielles dans l'espace à m dimensions, Ann. Sci. Ecole Norm. Sup., [3] 70 (1953), pp. 287-360. Zbl0053.24702MR16,247d
- [13] T. URA, Sur le courant extérieur à une région invariante, Funk. Ekv., 2 (1959), pp. 143-200. Zbl0094.35602MR22 #1727
- [14] T. YOSHIZAWA, Liapunov's function and boundedness of solutions, Funk. Ekv., 2 (1959), pp. 95-142. Zbl0093.28005MR22 #5789
- [15] V. I. ZUBOV, Methods of A. M. Liapunov and their Application, AEC-tr-4439 (1961). Original: Metody A. M. Liapunova i ikh primenenie, Izdat. Léningrad. Univ. 1957.
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- Federico Marchetti, Some Stability Problems from a Topological Viewpoint
- Roger G. McCann, Another characterization of absolute stability
- Andrea Bacciotti, Francesca Ceragioli, Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions
- Marco Sabatini, Hopf bifurcation from infinity
- M. L. Bertotti, V. Moauro, Bifurcation and total stability
- Roger C. McCann, On absolute stability
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