Found 40 Documents (Results 1–40)
Conditions for the existence of cycles in a system of differential equations. (English. Russian original) Zbl 1502.34041
Differ. Equ. 58, No. 2, 165-174 (2022); translation from Differ. Uravn. 58, No. 2, 164-173 (2022).
Reviewer: Alois Steindl (Wien)
Some classes of linear extensions of dynamical systems on the torus. (Ukrainian. English summary) Zbl 1363.34122
On preservation of the invariant torus for multifrequency systems. (English. Ukrainian original) Zbl 1333.34071
Ukr. Math. J. 65, No. 11, 1661-1669 (2014); translation from Ukr. Mat. Zh. 65, No. 11, 1498-1505 (2013).
Existence of an invariant torus for a class of nonlinear systems of differential equations. (Ukrainian. English summary) Zbl 1289.34114
Exceptional surgeries on \((-2,p,p)\)-pretzel knots. (English) Zbl 1244.57015
Reviewer: Masakazu Teragaito (Hiroshima)
MSC:
57M25
57M50
Exponential mean square stability of stochastically forced 2-torus. (English) Zbl 1049.60054
Reviewer: Alexandr B. Vasil’ev (Odessa)
Invariant tori of a class of point mappings: The annulus principle. (English. Russian original) Zbl 1078.37017
Differ. Equ. 39, No. 5, 614-631 (2003); translation from Differ. Uravn. 39, No. 5, 584-601 (2003).
Reviewer: Boris V. Loginov (Ul’yanovsk)
Surgery of Grassmannians. (Chirurgie des grassmanniennes.) (English) Zbl 1026.14015
CRM Monograph Series. 19. Providence, RI: American Mathematical Society (AMS). xx, 170 p. (2003).
Reviewer: Werner Kleinert (Berlin)
A problem connected with the introduction of local coordinates in the neighbourhood of an invariant toroidal set. (English) Zbl 1049.34056
Reviewer: N. V. Nikitina (Kyïv)
MSC:
34C30
34C40
Submanifolds of framed metric manifolds and \(S\)-manifolds. (English) Zbl 1097.53037
Reviewer: Vladimir Yu. Rovenskij (Nesher)
Invariant measures for unitary groups associated to Kac-Moody Lie algebras. (English) Zbl 0960.43001
Mem. Am. Math. Soc. 693, 125 p. (2000).
Reviewer: H.Boseck (Greifswald)
Investigation of a dynamical system in a neighborhood of an invariant toroidal manifold in the general case. (English. Russian original) Zbl 0839.34057
Ukr. Math. J. 46, No. 10, 1545-1555 (1994); translation from Ukr. Mat. Zh. 46, No. 10, 1399-1408 (1994).
MSC:
34C30
The truncation method in constructing invariant tori of countable systems of differential equations. (English. Russian original) Zbl 0824.34013
Differ. Equations 30, No. 2, 184-192 (1994); translation from Differ. Uravn. 30, No. 2, 205-212 (1994).
Reviewer: V.Chernyatin (Szczecin)
Behaviour of the dynamic system in the vicinity of stable invariant toroidal manifold. (English) Zbl 0815.34028
Portenko, M. I. (ed.) et al., Some problems of the modern theory of differential equations. Kiev: Ukrainian National Academy of Sciences. Institute of Mathematics, Natl. Acad. Sci. Ukr., Kiev (UA). Inst. Math. Prepr. 94.29, 28-39 (1994).
Reviewer: J.Andres (Olomouc)
MSC:
34C27
34C30
Stability investigation of systems with invariant toroidal manifolds. (English. Russian original) Zbl 0801.34051
Differ. Equations 28, No. 12, 1810-1812 (1992); translation from Differ. Uravn. 28, No. 12, 2169-2172 (1992).
Dynamical system in a neighborhood of an invariant toroidal manifold. (English. Russian original) Zbl 0733.34052
Ukr. Math. J. 43, No. 4, 489-496 (1991); translation from Ukr. Mat. Zh. 43, No. 4, 530-537 (1991).
Reviewer: S.I.Trofimchuk (Kiev)
Varieties of group representations and Casson’s invariant for rational homology 3-spheres. (English) Zbl 0707.57009
Reviewer: B.Zimmermann
Quantization on the Virasoro group. (English) Zbl 0703.22013
Reviewer: P.Maślanka
On existence of a discontinuous, invariant, toroidal set for a second order impulse system. (Russian) Zbl 0721.34049
Asymptotic methods in problems of mathematical physics, Collect. Sci. Works, Kiev, 9-12 (1989).
Reviewer: J.Klamka (Katowice)
The Green function and conditions for the existence of invariant sets of impulse systems. (English. Russian original) Zbl 0715.34051
Ukr. Math. J. 41, No. 10, 1187-1190 (1989); translation from Ukr. Mat. Zh. 41, No. 10, 1379-1383 (1989).
Automorphisms of extended current algebras. (English) Zbl 0676.22013
Reviewer: E.Abe
Elements of the mathematical theory of multi-frequency oscillations. Invariant tori. (Ehlementy matematicheskoj teorii mnogochastotnykh kolebanij. Invariantnye tory). (Russian) Zbl 0637.34037
Moskva: “Nauka”. Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 304 p. R. 2.90 (1987).
Reviewer: I.Gumowski
Invariant toroidal manifolds of dynamical systems and the automation of methods of investigating differential equations. (English. Russian original) Zbl 0611.34044
Differ. Equations 21, 1121-1131 (1985); translation from Differ. Uravn. 21, No. 10, 1679-1692 (1985).
Reviewer: S.Kono
On the behaviour of the solutions of a quasi-linear denumerable system of differential equations in the neighbourhood of an invariant torus. (Russian) Zbl 0603.34028
Asymptotic integration of differential equations, Collect. sci. Works, Kiev 1985, 3-8 (1985).
Reviewer: K.Barckow
Systems of evolution equations with periodic and conditionally periodic coefficients. (Sistemy ehvolyutsionnykh uravnenij s periodicheskimi i uslovno-periodicheskimi koehffitsientami). (Russian) Zbl 0618.34001
Kiev: ”Naukova Dumka”. 216 p. R. 2.30 (1984).
Reviewer: N.Luca
Invariant tori of linear extensions of dynamical systems on a torus with a singular matrix of derivatives. (English) Zbl 0579.34033
MSC:
37-XX
Invariant tori of linear extensions of dynamical systems on a torus with degenerate matrix at the derivatives. (Russian) Zbl 0556.34044
Reviewer: S.Kono
MSC:
37-XX
Invariant tori of difference equations with slowly changing variables. (Russian) Zbl 0548.39004
Differential equations and applications. I. Proc. 2nd Conf., Rousse/Bulg. 1981, 221-224 (1982).
Reviewer: I.Ginchev
Toroidal integral manifolds of systems of differential equations with quasi-periodic coefficients. (Russian) Zbl 0524.58040
Methods of nonlinear mechanics and their applications, Collect. sci. Works, Kiev 1982, 155-165 (1982).
Invariant toroidal manifolds of systems of difference equations with a slowly varying phase. (Russian) Zbl 0467.39002
MSC:
39A10
On the smoothness of the invariant toroidal manifold of a countable system of differential equations. (Russian) Zbl 0447.34043
The existence of the invariant toroidal manifold of a countable system of differential equations with impulsive action. (English) Zbl 0423.58016
On invariant toroidal manifolds of nonlinear systems with retardation. (Russian) Zbl 0412.34071
Differential equations with deviating argument, Proc. 4th All-Union Conf., Kiev 1975, 207-214 (1977).
Reviewer: Rustyan R. Akhmerov (Novosibirsk)
Invariant toroidal manifolds of the systems with slowly varying variables. (Russian) Zbl 0412.34040
Probl. asympt. Theory nonlin. Oscill., Acad. Sci. Ukr. SSR, Inst. Math., 181-191 (1977).
MSC:
34C30
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