On the first- and second-order strongly monotone dynamical systems and minimization problems

2015 ◽  
Vol 30 (6) ◽  
pp. 1303-1309 ◽  
Author(s):  
Hadi Khatibzadeh ◽  
Ali Shokri
Keyword(s):  
Dynamical Systems ◽  
Second Order ◽  
Strongly Monotone ◽  
Minimization Problems ◽  
Monotone Dynamical Systems

Group actions on strongly monotone dynamical systems

1989 ◽  
Vol 283 (1) ◽  
pp. 1-11 ◽  
Author(s):  
Janusz Mierczyński ◽  
Peter Poláčik
Keyword(s):  
Dynamical Systems ◽  
Group Actions ◽  
Strongly Monotone ◽  
Monotone Dynamical Systems

Integrable two-dimensional dynamical systems and the characteristic Lie algebras

2007 ◽  
Vol 5 ◽  
pp. 195-200
Author(s):  
A.V. Zhiber ◽  
O.S. Kostrigina
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Lie Algebra ◽  
Lie Algebras ◽  
Second Order ◽  
System Of Equations ◽  
Two Dimensional ◽  
Finite Dimensional ◽  
Dimensional Dynamical System

In the paper it is shown that the two-dimensional dynamical system of equations is Darboux integrable if and only if its characteristic Lie algebra is finite-dimensional. The class of systems having a full set of fist and second order integrals is described.

A Class of Bounded and Partially Bounded Nonlinear Controllers for First and Second Order Dynamical Systems

2021 ◽  
pp. 1-1
Author(s):  
Eddie Clemente ◽  
M. C. Rodriguez-Linan ◽  
Marlen Meza-Sanchez ◽  
Luis Monay-Arredondo ◽  
Leonardo Herrera
Keyword(s):  
Dynamical Systems ◽  
Second Order ◽  
Nonlinear Controllers

scholarly journals Second-order dynamical systems associated to variational inequalities

2016 ◽  
Vol 96 (5) ◽  
pp. 799-809 ◽  
Author(s):  
Radu Ioan Boţ ◽  
Ernö Robert Csetnek
Keyword(s):  
Dynamical Systems ◽  
Variational Inequalities ◽  
Second Order

FREQUENCY SYNCHRONIZATION IN NETWORKS OF COUPLED OSCILLATORS, A MONOTONE DYNAMICAL SYSTEMS APPROACH

2009 ◽  
Vol 19 (12) ◽  
pp. 4107-4116 ◽  
Author(s):  
WEN-XIN QIN
Keyword(s):  
Dynamical Systems ◽  
Coupling Strength ◽  
Coupled Oscillators ◽  
Systems Approach ◽  
System Size ◽  
Coupling Scheme ◽  
Frequency Synchronization ◽  
Nonlinear Coupling ◽  
New Approach ◽  
Monotone Dynamical Systems

We propose a new approach to investigate the frequency synchronization in networks of coupled oscillators. By making use of the theory of monotone dynamical systems, we show that frequency synchronization occurs in networks of coupled oscillators, provided the coupling scheme is symmetric, connected, and strongly cooperative. Our criterion is independent of the system size, the coupling strength and the details of the connections, and applies also to nonlinear coupling schemes.

A case study in bifurcation theory

2017 ◽  
Vol 28 (08) ◽  
pp. 1750104 ◽  
Author(s):  
Youssef Khmou
Keyword(s):  
Dynamical Systems ◽  
Bifurcation Theory ◽  
Chaotic Behavior ◽  
Numerical Study ◽  
Logistic Map ◽  
Logistic Function ◽  
Second Order ◽  
Short Paper ◽  
Chaotic Region

This short paper is focused on the bifurcation theory found in map functions called evolution functions that are used in dynamical systems. The most well-known example of discrete iterative function is the logistic map that puts into evidence bifurcation and chaotic behavior of the topology of the logistic function. We propose a new iterative function based on Lorentizan function and its generalized versions, based on numerical study, it is found that the bifurcation of the Lorentzian function is of second-order where it is characterized by the absence of chaotic region.

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