Computer Algebra algorithms for the test on accessibility and observability for implicit dynamical systems

2003 ◽  
Author(s):  
Kurt Zehetleitner ◽  
Kurt Schlacher
Keyword(s):  
Dynamical Systems ◽  
Computer Algebra

scholarly journals Computer Algebra Tests on Identifiability of Nonlinear Implicit Dynamical Systems

PAMM ◽  
2005 ◽  
Vol 5 (1) ◽  
pp. 191-192
Author(s):  
Kurt Zehetleitner ◽  
Kurt Schlacher
Keyword(s):  
Dynamical Systems ◽  
Computer Algebra

Extended Lorenz Models and Time Dependent First Integrals

1994 ◽  
Vol 49 (7-8) ◽  
pp. 751-753
Author(s):  
W.-H. Steeb
Keyword(s):  
Dynamical Systems ◽  
Computer Algebra ◽  
First Integrals ◽  
Time Dependent ◽  
Dissipative Dynamical Systems

Abstract We show how computer algebra can be used to find time dependent first integrals of dissipative dynamical systems. Extended Lorenz models are studied as examples.

An Application of Computer Algebra and Dynamical Systems

2019 ◽  
pp. 225-236
Author(s):  
Predrag S. Stanimirović ◽  
Yimin Wei ◽  
Dejan Kolundžija ◽  
Juan Rafael Sendra ◽  
Juana Sendra
Keyword(s):  
Dynamical Systems ◽  
Computer Algebra

scholarly journals On Algorithm of Integrability Classification of the Nonlinear Dynamical Systems via Computer Algebra Methods

2021 ◽  
pp. 7-12
Author(s):  
Bohdan Fil ◽  
Yaroslav Pelekh ◽  
Myroslava Vovk ◽  
Halyna Beregova ◽  
Tatiana Magerovska ◽  
...  
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Conservation Laws ◽  
Computer Algebra ◽  
Nonlinear Dynamical Systems ◽  
Nonlinear Dynamical System ◽  
Nonlinear Dynamical ◽  
Wolfram Mathematica ◽  
De Vries

There is developed an algorithm to classify integrable nonlinear dynamical systems via Wolfram Mathematica. The hierarchy of conservation laws for the nonlinear dynamical system can be cal-culated by this algorithm. There are demonstrated some modifications of nonlinear Korteweg-de Vries equations integrated by inverse scatering method.

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