Found 40 Documents (Results 1–40)
On the recent progress in effective dimension estimates for delay equations. (English) Zbl 1536.93385
Essays in geometry. Dedicated to Norbert A’Campo. (English) Zbl 1519.57002
IRMA Lectures in Mathematics and Theoretical Physics 34. Berlin: European Mathematical Society (ISBN 978-3-98547-024-2/hbk; 978-3-98547-524-7/ebook). x, 1018 p. (2023).
MSC:
57-06
58-06
53-06
14-06
32-06
00B15
00B30
01-02
01-06
01A70
14B05
34M35
57K20
57R45
32S05
32S55
57K12
57R17
57K30
57K45
00A30
57K10
58K30
51M15
53C70
The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension. (English) Zbl 1517.34081
On approximation of solutions to delay differential equations. (Russian. English summary) Zbl 1471.34130
Analysis of a new high order Lorenz-type chaos model. (Chinese. English summary) Zbl 1463.34165
On one system of ordinary differential equations of large dimension and a delay equation. (Russian, English) Zbl 1438.34220
Sib. Zh. Ind. Mat. 22, No. 3, 59-73 (2019); translation in J. Appl. Ind. Math. 13, No. 3, 447-459 (2019).
Spectral triples for the variants of the Sierpiński gasket. (English) Zbl 1428.28010
Reviewer: Peter Massopust (München)
Limit theorems for one system of ordinary differential equations of high dimension and delay differential equations. (Russian. English summary) Zbl 1430.34064
Reviewer: Olga Chepok (Odessa)
On the Kolmogorov entropy of the weak global attractor of 3D Navier-Stokes equations. I. (English) Zbl 1373.35225
Reviewer: Cheng He (Beijing)
Multi-dimensional discrete Halanay inequalities and the global stability of the disease free equilibrium of a discrete delayed malaria model. (English) Zbl 1418.92203
Estimates on the dimension of an exponential attractor for a delay differential equation. (English) Zbl 1349.34308
Reviewer: Dalibor Prazak (Praha)
Finite fractal dimensionality of attractors for nonlocal evolution equations. (English) Zbl 1295.34065
Bifurcation of periodic solutions from a ring configuration of discrete nonlinear oscillators. (English) Zbl 1276.34032
Reviewer: Oleg V. Makeev (Ulyanovsk)
Under- and overdetermined systems of differential equations. (Unter- und überbestimmte Systeme von Differentialgleichungen.) (German) Zbl 1207.35003
Reviewer: Lutz Recke (Berlin)
Area contraction in the presence of first integrals and almost global convergence. (English) Zbl 1122.37014
Reviewer: Vladimir Răsvan (Craiova)
On the behavior of the Lorenz equation backward in time. (English) Zbl 1068.34044
Reviewer: Yuri V. Rogovchenko (Famagusta)
Attractors for second-order evolution equations with a nonlinear damping. (English) Zbl 1072.37054
Reviewer: Victor Sharapov (Volgograd)
Global attractor and its dimension of discretized FitzHugh-Nagumo equations. (Chinese. English summary) Zbl 0995.34042
The basic attractor of the viscous Moore-Greitzer equation. (English) Zbl 1021.34043
Reviewer: Kazuyuki Yagasaki (Gifu)
On dimension of attractors of differential inclusions and reaction-diffusion equations. (English) Zbl 0963.37075
Reviewer: Messoud Efendiev (Berlin)
Dimension of the global attractor for discretizations of the damped sine-Gordon equation. (English) Zbl 0935.35145
A finite dimensional attractor of the Moore-Greitzer PDE model. (English) Zbl 0926.34040
Reviewer: Norbert Koksch (Dresden)
On the shape and dimension of the Lorenz attractor. (English) Zbl 0838.34070
Dyn. Stab. Syst. 10, No. 3, 255-268 (1995); corrigendum ibid. 13, No. 3, 299-301 (1998).
MSC:
34D45
Finite dimensional behaviour for the derivative Ginzburg-Landau equation in two spatial dimensions. (English) Zbl 0884.34062
Corrigendum: Existence and finite dimensionality of attractors for a system of equations arising in ferromagnetism. (English) Zbl 0812.34063
Numerics of invariant manifolds and attractors. (English) Zbl 0811.65051
Kloeden, Peter E. (ed.) et al., Chaotic numerics. An international workshop on the approximation and computation of complicated dynamical behavior, July 12-16, 1993, Deakin Univ., Geelong, Australia. Providence, RI: American Mathematical Society. Contemp. Math. 172, 185-202 (1994).
Reviewer: B.Werner (Hamburg)
Estimate on the global attractor for the simplified magnetic Bénard system. (English) Zbl 0875.35072
Kawarada, H. (ed.) et al., Proceedings of the international conference on nonlinear mathematical problems in industry, held at Iwaki Meisei University, Iwaki, Japan, during Nov. 9-13, 1992. II. Tokyo: Gakkōtosho, GAKUTO Int. Ser., Math. Sci. Appl. 2, 421-430 (1993).
Entropy and the Hausdorff dimension for infinite-dimensional dynamical systems. (English) Zbl 0744.34047
Reviewer: R.Nagel (Tübingen)
Topological dimensions of global attractors for semilinear PDE’s with delays. (English) Zbl 0737.35137
Reviewer: W.Sadkowski (Warszawa)
Estimates of the dimension of attractors and global stability of a generalized Lorenz system. (English. Russian original) Zbl 0732.34046
Vestn. Leningr. Univ., Math. 23, No. 2, 6-12 (1990); translation from Vestn. Leningr. Univ., Ser. I 1990, No. 2, 7-13 (1990).
Reviewer: A.Bacciotti (Torino)
Existence and finite-dimensionality of attractors for a system of equations arising in ferromagnetism. (English) Zbl 0727.34054
Reviewer: G.Di Blasio (Roma)
Asymptotic behavior of solutions of a Lorentz system. (English. Russian original) Zbl 0703.34059
Differ. Equations 25, No. 12, 1492-1497 (1989); translation from Differ. Uravn. 25, No. 12, 2103-2109 (1989).
MSC:
34E05
Spectral Galerkin methods for the primary two-point boundary value problem in modelling viscoelastic flows. (English) Zbl 0635.73091
Global behavior of solutions of nonlinear equations depending on infinite-dimensional parameters. (English) Zbl 0488.47032
New Stokes’ line in WKB theory. (English) Zbl 0488.34050
MSC:
34E20
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