Constructing Countably Many Distinct Suslin Sets of Characteristic Exponents in the Perron Effect of Change of Their Values

2020 ◽  
Vol 56 (12) ◽  
pp. 1539-1544
Author(s):  
N. A. Izobov ◽  
A. V. Il’in
Keyword(s):  
Characteristic Exponents

scholarly journals Characteristic exponents of dynamical systems in metric spaces

1983 ◽  
Vol 3 (1) ◽  
pp. 119-127 ◽  
Author(s):  
Yuri Kifer
Keyword(s):  
Dynamical Systems ◽  
Metric Spaces ◽  
Invariant Sets ◽  
Characteristic Exponents ◽  
Smooth Case

AbstractWe introduce for dynamical systems in metric spaces some numbers which in the case of smooth dynamical systems turn out to be the maximal and the minimal characteristic exponents. These numbers have some properties similar to the smooth case. Analogous quantities are defined also for invariant sets.

The entropy function for characteristic exponents

1987 ◽  
Vol 25 (1-3) ◽  
pp. 387-398 ◽  
Author(s):  
Tomas Bohr ◽  
David Rand
Keyword(s):  
Entropy Function ◽  
Characteristic Exponents

On quantum chaos and quantum characteristic exponents

1993 ◽  
Vol 33 (1-2) ◽  
pp. 111-115 ◽  
Author(s):  
M. Kuna ◽  
W.A. Majewski
Keyword(s):  
Quantum Chaos ◽  
Characteristic Exponents

scholarly journals Distributed Control and the Lyapunov Characteristic Exponents in the Model of Infectious Diseases

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
M. Bershadsky ◽  
M. Chirkov ◽  
A. Domoshnitsky ◽  
S. Rusakov ◽  
I. Volinsky
Keyword(s):  
Infectious Diseases ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Distributed Control ◽  
Stationary Point ◽  
Treatment Time ◽  
Simulation Models ◽  
Characteristic Exponents ◽  
Data Comparison ◽  
Lyapunov Characteristic Exponents

The Marchuk model of infectious diseases is considered. Distributed control to make convergence to stationary point faster is proposed. Medically, this means that treatment time can be essentially reduced. Decreasing the concentration of antigen, this control facilitates the patient’s condition and gives a certain new idea of treating the disease. Our approach involves the analysis of integro-differential equations. The idea of reducing the system of integro-differential equations to a system of ordinary differential equations is used. The final results are given in the form of simple inequalities on the parameters. The results of numerical calculations of simulation models and data comparison in the case of using distributive control and in its absence are given.

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