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scientific article; zbMATH DE number 7644499

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7644499

Statements

scholarly article

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Mikhail Anikushin

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publication date

23 January 2023

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full work available at URL

https://arxiv.org/abs/2004.13141

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https://diffjournal.spbu.ru/EN/numbers/2022.4/article.1.1.html

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zbMATH Keywords

delay equations

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dimension estimates

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inertial manifolds

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nonlinear semigroups

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MaRDI profile type

MaRDI publication profile

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Frequency theorem for parabolic equations and its relation to inertial manifolds theory

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A non-local reduction principle for cocycles in Hilbert spaces

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On the Liouville phenomenon in estimates of fractal dimensions of forced quasi-periodic oscillations

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On the Smith Reduction Theorem for Almost Periodic ODEs Satisfying the Squeezing Property

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Approximating Lyapunov exponents and Sacker-Sell spectrum for retarded functional differential equations

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Nonautonomous delay differential equations in Hilbert spaces and Lyapunov exponents

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On the fractal dimension of invariant sets: Applications to Navier-Stokes equations.

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Inertial and slow manifolds for delay equations with small delays.

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Smoothness of inertial manifolds

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Dynamics of quasi-stable dissipative systems

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Counterexamples to regularity of Mañé projections in the theory of attractors

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Functional differential equations of delay type and nonlinear evolution in \(L_ p\)-spaces

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Theory of functional differential equations. 2nd ed

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Inertial Manifolds via Spatial Averaging Revisited

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Attractor dimension estimates for dynamical systems: theory and computation. Dedicated to Gennady Leonov

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The Lyapunov dimension and its estimation via the Leonov method

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Lyapunov dimension formula for the global attractor of the Lorenz system

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Lower bounds for the Hausdorff dimension of attractors

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Tensor products, positive linear operators, and delay-differential equations

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The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay

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Negatively invariant sets of compact maps and an extension of a theorem of Cartwright

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Inertial manifolds and normal hyperbolicity

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Some applications of Hausdorff dimension inequalities for ordinary differential equations

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Orbital Stability and Inertial Manifolds for Certain Reaction Diffusion Systems

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Poincaré-Bendixson theory for certain retarded functional differential equations

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Certain differential equations have only isolated periodic orbits

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Poincaré Index Theorem Concerning Periodic Orbits of Differential Equations

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Topological dimensions of global attractors for semilinear PDE's with delays

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Infinite-dimensional dynamical systems in mechanics and physics.

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Entropy and the Hausdorff dimension for infinite-dimensional dynamical systems

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Nonlinear nonautonomous functional differential equations in Lp spaces

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Functional differential equations and nonlinear semigroups in \(L^p\) spaces

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Inertial manifolds and finite-dimensional reduction for dissipative PDEs

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5871673

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