Topological Classification of All Integrable Hamiltonian Differential Equations of General Type With Two Degrees of Freedom

1991 ◽  
pp. 131-339 ◽  
Author(s):  
A. T. Fomenko
Keyword(s):  
Differential Equations ◽  
Degrees Of Freedom ◽  
General Type ◽  
Topological Classification ◽  
Two Degrees Of Freedom

scholarly journals VIRTUAL LABORATORIES AS STRATEGY FOR TEACHING IMPROVEMENT IN MATH SCIENCES AND ENGINEERING IN BOLIVIA

2020 ◽  
Vol 2 (1) ◽  
pp. 52-62
Author(s):  
Francisco Vargas
Keyword(s):  
Differential Equations ◽  
Matrix Algebra ◽  
Degrees Of Freedom ◽  
Inverted Pendulum ◽  
Numerical Algorithms ◽  
Three Dimensions ◽  
Technological Advancement ◽  
Teaching Improvement ◽  
Two Degrees Of Freedom ◽  
Virtual Laboratories

The vertiginous technological advancement has made necessary the use of computersoftware that contributes to the improvement of teaching in math sciences and engineering.It is in this context that the last five years the strategy presented in this article has been disseminatedin the main universities of Bolivia, a country where the schools have not yet been ableto offer basic disciplines such as calculus, matrix algebra, physics and/or differential equationsto solve problems considering applicative aspects. To establish this connection, it is necessaryto deduce differential equations associated with practical problems, solve these equationswith different numerical algorithms, and establish the concept of simulation to later introducelanguages like Python/VPython free of license to elaborate Virtual Laboratories that allow obtainingthe solutions in two and three dimensions. The classical problems addressed for thispurpose are the satellite of two degrees of freedom and the inverted pendulum.

Topological classification of impulsive differential equations

1995 ◽  
Vol 34 (7) ◽  
pp. 1147-1162 ◽  
Author(s):  
D. D. Bainov ◽  
S. I. Kostadinov ◽  
Nguyen Van Minh ◽  
P. P. Zabreiko
Keyword(s):  
Differential Equations ◽  
Impulsive Differential Equations ◽  
Topological Classification
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