[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 …

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 …

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 …

Якісні властивості та скінченновимірність з точністю до малого параметра слабких розв'язків кліматологічної моделі Будико–Селлерса

MZ Zgurovsky, PO Kasyanov, NV Gorban… - System research and …, 2018 - journal.iasa.kpi.ua
Проведено якісний аналіз поведінки розв'язків кліматологічної моделі енергетичного
балансу Будико–Селлерса, розглянутої на рімановому багатовиді без краю …

Качественный и количественный анализ слабых решений энергобалансных климатологических моделей

МЗ Згуровский, ПО Касьянов… - Кибернетика и …, 2019 - dspace.nbuv.gov.ua
Проведен качественный анализ динамики решений климатологической модели
энергетического баланса Будыко–Селлерса, рассмотренной на римановом …

Indirect Lyapunov Method for Autonomous Dynamical Systems

MZ Zgurovsky, PO Kasyanov, MZ Zgurovsky… - … Quantitative Analysis of …, 2018 - Springer
In this chapter we establish indirect Lyapunov method for autonomous dynamical systems.
Section 9.1 devoted to the first order autonomous differential-operator equations and …

Method of Artificial Control and the 3D Navier-Stokes System

MZ Zgurovsky, PO Kasyanov - … Methods and Applications: In Honor of Ivan …, 2017 - Springer
In this paper we establish the artificial control method for nonlinear distributed systems. We
investigate the regularity properties of each weak solution for “problem in hands.” As a …