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A. Krishchenko (2016)
Asymptotic stability analysis of autonomous systems by applying the method of localization of compact invariant setsDoklady Mathematics, 94
A. Kanatnikov, A. Krishchenko (2016)
Localizing sets and trajectory behaviorDoklady Mathematics, 94
A. Krishchenko (2016)
Global asymptotic stability analysis by the localization method of invariant compact setsDifferential Equations, 52
A. Kanatnikov (2018)
Stability of Equilibria of Discrete-Time Systems and Localization of Invariant Compact SetsDifferential Equations, 54
A. Krishchenko (2018)
Behavior of Trajectories in Localizing SetsDoklady Mathematics, 97
A. Krishchenko (2017)
Investigation of asymptotic stability of equilibria by localization of the invariant compact setsAutomation and Remote Control, 78
Y. Louzoun, Chuan Xue, G. Lesinski, A. Friedman (2014)
A mathematical model for pancreatic cancer growth and treatments.Journal of theoretical biology, 351
A. Kanatnikov, A. Krishchenko (2009)
Localization of invariant compact sets of nonautonomous systemsDifferential Equations, 45
A. Krishchenko (2005)
Localization of Invariant Compact Sets of Dynamical SystemsDifferential Equations, 41
A. Krishchenko (2018)
Behavior of Trajectories of Time-Invariant SystemsDifferential Equations, 54
A. Krishchenko (2015)
Localization of simple and complex dynamics in nonlinear systemsDifferential Equations, 51
For two classes of two-dimensional systems and for a fourth-order system describing thedevelopment of pancreatic cancer, we use the method of localization of compact invariant sets toestablish estimates for their compact invariant sets and indicate conditions for the existence ofattractors. A condition for the degeneration of dynamics is found for the four-dimensional system.Examples and results of numerical modeling are given.
Differential Equations – Springer Journals
Published: Dec 9, 2020
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