[PDF][PDF] Structure of the global attractor for weak solutions of a reaction-diffusion equation

OV Kapustyan, PO Kasyanov… - Applied Mathematics & …, 2015 - naturalspublishing.com
In this paper we study the structure of the global attractor for a multivalued semiflow
generated by weak solutions of a reaction-diffusion equation in which uniqueness of the …

Lyapunov functions for differential inclusions and applications in physics, biology, and climatology

MO Gluzman, NV Gorban, PO Kasyanov - Continuous and Distributed …, 2015 - Springer
We investigate additional regularity properties of all globally defined weak solutions, their
global and trajectory attractors for classes of semi-linear parabolic differential inclusions with …

[图书][B] Qualitative and quantitative analysis of nonlinear systems

MZ Zgurovsky, PO Kasyanov - 2018 - Springer
In an abstract form, the evolutional nonlinear system is a mathematical model that describes
how physical, chemical, biological, economic, or even mathematical phenomena evolve in …

Long-time behavior of state functions for Badyko models

NV Gorban, MO Gluzman, PO Kasyanov… - Advances in Dynamical …, 2016 - Springer
In this note we examine the long-time behavior of state functions for a climate energy
balance model (Budyko Model) in the strongest topologies of the phase and the extended …

Uniform global attractors for non-autonomous dissipative dynamical systems

MZ Zgurovsky, PO Kasyanov, MZ Zgurovsky… - … Quantitative Analysis of …, 2018 - Springer
In this chapter we consider sufficient conditions for the existence of uniform compact global
attractor for non-autonomous dynamical systems in special classes of infinite-dimensional …

LONG-TIME BEHAVIOR OF STATE FUNCTIONS FOR CLIMATE ENERGY BALANCE MODEL.

NV CORBAN, OV Khomenko… - … Systems-Series B, 2017 - search.ebscohost.com
We study the long time behavior of state functions for a climate energy balance model (so-
called Budyko Model). Existence and properties of weak solutions, and existence of …

Lyapunov functions for weak solutions of reaction-diffusion equations with discontinuous interaction functions and its applications

MO Gluzman, NV Gorban… - Nonautonomous …, 2015 - degruyter.com
In this paper we investigate additional regularity properties for global and trajectory
attractors of all globally defined weak solutions of semi-linear parabolic differential reaction …

Qualitative and quantitative analysis of weak solutions of energy-balance climate models

MZ Zgurovsky, PO Kasyanov, NV Gorban… - … and Systems Analysis, 2019 - Springer
Qualitative analysis of the solutions behavior for the Budyko–Sellers energy balance climate
model, considered on the Riemannian manifold without boundary is carried out. The global …

High-precision three-axis detumbling and pointing attitude control strategy for a class of complicated space systems

AH Mazinan - International Journal of Dynamics and Control, 2017 - Springer
We looked at the recent state-of-the-art investigations in the area of attitude control to
propose a new three-axis detumbling and pointing strategy. The outcomes, organized along …

Attractors for Differential Inclusions and Their Applications for Evolution Algorithms

N Gorban, O Kapustyan, P Kasyanov… - System Analysis and …, 2023 - Springer
In this paper we study the issues of global solvability and existence of global attractors for
differential inclusion of parabolic type in the phase space of continuous functions with-norm …