Found 31 Documents (Results 1–31)
Quadratic three-dimensional differential systems having invariant planes with total multiplicity nine. (English) Zbl 1404.34039
Existence and smoothness of the stable foliation for sectional hyperbolic attractors. (English) Zbl 1378.37070
Localization of invariant compact sets for continuous systems with uncertainties. (English. Russian original) Zbl 1355.34074
J. Math. Sci., New York 219, No. 1, 150-154 (2016); translation from Probl. Mat. Anal. 85, 143-146 (2016).
MSC:
34C45
Analytical solutions of the Lorenz system. (English) Zbl 1331.34005
Reviewer: Antonín Slavík (Praha)
Localization of compact invariant sets and global stability in analysis of one tumor growth model. (English) Zbl 1309.34085
On Darboux polynomials and rational first integrals of the generalized Lorenz system. (English) Zbl 1302.34001
Reviewer: Jaume Giné (Lleida)
A complete classification of Liénard equation. (English) Zbl 1389.34113
MSC:
34C14
Invariant algebraic surfaces of the generalized Lorenz system. (English) Zbl 1285.34044
Reviewer: Vladimir L. Makarov (Kyïv)
Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces. (English) Zbl 1338.37038
Darboux polynomials and rational first integrals of the generalized Lorenz systems. (English. French) Zbl 1246.34018
Reviewer: Douglas S. Shafer (Charlotte)
Localization of invariant compacta of autonomous systems. (English. Russian original) Zbl 1263.34066
Comput. Math. Model. 22, No. 4, 361-373 (2011); translation from Nelinejn. Din. Upr. 6, 79-92 (2008).
Reviewer: Gani T. Stamov (Sliven)
MSC:
34C45
Dynamics of the Lü system on the invariant algebraic surface and at infinity. (English) Zbl 1248.34069
Strange attractors in dissipative Nambu mechanics: classical and quantum aspects. (English) Zbl 1272.81135
Functional method for the localization of invariant compact sets in discrete systems. (English. Russian original) Zbl 1219.37041
Differ. Equ. 46, No. 11, 1601-1611 (2010); translation from Differ. Uravn. 46, No. 11, 1601-1611 (2010).
Reviewer: Jan P. Boronski (Tuskegee)
MSC:
37J15
Global dynamics of the Rikitake system. (English) Zbl 1162.37017
Reviewer: Ljubiša Kocić (Niš)
Stability and basins of attraction of invariant surfaces. (English) Zbl 1098.37018
Reviewer: Igor Bock (Bratislava)
Inequivalent topologies of chaos in simple equations. (English) Zbl 1084.34048
Reviewer: Sergei Yu. Pilyugin (St. Petersburg)
Localization of invariant compact sets of dynamical systems. (English. Russian original) Zbl 1133.34342
Differ. Equ. 41, No. 12, 1669-1676 (2005); translation from Differ. Uravn. 41, No. 12, 1597-1604 (2005).
Reviewer: Svitlana P. Rogovchenko (Famagusta)
Boundedness, invariant algebraic surfaces and global dynamics for a spectral model of large-scale atmospheric circulation. (English) Zbl 1110.37063
Convergence to equilibria in the Lorenz system via monotone methods. (English) Zbl 1093.34016
Reviewer: Jozef Dzurina (Kosice)
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