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The Lyapunov Function Method

1999
In Chapter 7 we discussed the first approach to realization of the Lyapunov direct method for FDE based on application of the Lyapunov functionals. In the second approach finite dimensional Lyapunov’s functions v(t, x): R × R n →R are used.
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Lyapunov Functions and Cones

2017
In this chapter we describe how one can use Lyapunov functions to show that a cocycle over a measure-preserving transformation has a nonvanishing Lyapunov exponent almost everywhere. Starting with the simpler case of a nonpositive Lyapunov function, we show that the existence of an eventually strict nonpositive Lyapunov function implies that the ...
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Hamiltonian Systems, Lyapunov Functions, and Stability

2001
The theory of Hamiltonian (or conservative) systems in the plane is introduced. The differential equations are used to model dynamical systems in which there is no energy loss. Hamiltonian systems are also used extensively when bifurcating limit cycles in the plane (see Chapters 10 and 11).
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A systematic review of rehabilitation and exercise recommendations in oncology guidelines

Ca-A Cancer Journal for Clinicians, 2021
Kathleen Doyle Lyons   +2 more
exaly  

Control-Lyapunov functions

1999
The main objective of control is to modify the behavior of a dynamical system, typically with the purpose of regulating certain variables or of tracking desired signals. Often, either stability of the closed-loop system is an explicit requirement, or else the problem can be recast in a form that involves stabilization (e.g., of an error signal).
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The broadening scope of oral mucositis and oral ulcerative mucosal toxicities of anticancer therapies

Ca-A Cancer Journal for Clinicians, 2022
Michal Kuten-shorrer   +2 more
exaly  

Cancer epigenetics in clinical practice

Ca-A Cancer Journal for Clinicians, 2023
Veronica Davalos, Manel Esteller
exaly  

Female erectile tissues and sexual dysfunction after pelvic radiotherapy: A scoping review

Ca-A Cancer Journal for Clinicians, 2022
Deborah C Marshall   +2 more
exaly  

Photodynamic therapy of cancer: An update

Ca-A Cancer Journal for Clinicians, 2011
Patrizia Agostinis   +2 more
exaly  

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