Arnoldi Methods for Structure-Preserving Dimension Reduction of Second-Order Dynamical Systems

2005 ◽  
pp. 173-189 ◽  
Author(s):  
Zhaojun Bai ◽  
Karl Meerbergen ◽  
Yangfeng Su
Keyword(s):  
Dynamical Systems ◽  
Dimension Reduction ◽  
Second Order ◽  
Structure Preserving ◽  
Arnoldi Methods

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

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.

Random attractors for second-order stochastic lattice dynamical systems

2010 ◽  
Vol 72 (1) ◽  
pp. 483-494 ◽  
Author(s):  
Xiaohu Wang ◽  
Shuyong Li ◽  
Daoyi Xu
Keyword(s):  
Dynamical Systems ◽  
Second Order ◽  
Random Attractors ◽  
Lattice Dynamical Systems
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