DYNAMIC SYSTEM ANALYSIS WITH pplane8.m (MATLAB® toolbox)
In this work, four dynamic systems were analyzed (physical, chemical, ecological and economical), represented by autonomous systems of two ordinary differential equations. Main objective is proving that pplane8.m is an adequate and efficient computer tool. The analysis of autonomous systems was give...
| Main Authors: | , |
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| Format: | Article |
| Language: | Spanish |
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Executive Business School
2013-12-01
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| Series: | Avances en Ciencias e Ingeniería |
| Subjects: | |
| Online Access: | http://www.exeedu.com/publishing.cl/inicio.php?lnk=ctnd&id=275 |
| _version_ | 1818935601530929152 |
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| author | Alejandro Regalado-Méndez Jesús G. Madrid-González |
| author_facet | Alejandro Regalado-Méndez Jesús G. Madrid-González |
| author_sort | Alejandro Regalado-Méndez |
| collection | DOAJ |
| description | In this work, four dynamic systems were analyzed (physical, chemical, ecological and economical), represented by autonomous systems of two ordinary differential equations. Main objective is proving that pplane8.m is an adequate and efficient computer tool. The analysis of autonomous systems was given by characterization of their critical points according to Coughanowr & LeBlanc (2009), with the MATLAB® toolbox pplane8.m. The main results are that pplane8.m (Polking, 2009) can quickly and precisely draw trajectories of each phase plane, it easily computes each critical point, and correctly characterize each equilibrium point of all autonomous studied systems. Finally, we can say that pplane8.m is a powerful tool to help the teaching-learning process for engineering students. |
| first_indexed | 2024-12-20T05:22:46Z |
| format | Article |
| id | doaj.art-800b35cfab7c470a9c3c612ec2f80d79 |
| institution | Directory Open Access Journal |
| issn | 0718-8706 |
| language | Spanish |
| last_indexed | 2024-12-20T05:22:46Z |
| publishDate | 2013-12-01 |
| publisher | Executive Business School |
| record_format | Article |
| series | Avances en Ciencias e Ingeniería |
| spelling | doaj.art-800b35cfab7c470a9c3c612ec2f80d792022-12-21T19:51:57ZspaExecutive Business SchoolAvances en Ciencias e Ingeniería0718-87062013-12-0144117132DYNAMIC SYSTEM ANALYSIS WITH pplane8.m (MATLAB® toolbox)Alejandro Regalado-Méndez0Jesús G. Madrid-González1Universidad del Mar, Campus Puerto Ángel, Ciudad Universitaria S/N, Puerto Ángel, 70902 San Pedro Pochutla, Oaxaca - MéxicoUniversidad del Mar, Campus Puerto Ángel, Ciudad Universitaria S/N, Puerto Ángel, 70902 San Pedro Pochutla, Oaxaca - MéxicoIn this work, four dynamic systems were analyzed (physical, chemical, ecological and economical), represented by autonomous systems of two ordinary differential equations. Main objective is proving that pplane8.m is an adequate and efficient computer tool. The analysis of autonomous systems was given by characterization of their critical points according to Coughanowr & LeBlanc (2009), with the MATLAB® toolbox pplane8.m. The main results are that pplane8.m (Polking, 2009) can quickly and precisely draw trajectories of each phase plane, it easily computes each critical point, and correctly characterize each equilibrium point of all autonomous studied systems. Finally, we can say that pplane8.m is a powerful tool to help the teaching-learning process for engineering students.http://www.exeedu.com/publishing.cl/inicio.php?lnk=ctnd&id=275phase planecritic pointautonomous systemdynamic system |
| spellingShingle | Alejandro Regalado-Méndez Jesús G. Madrid-González DYNAMIC SYSTEM ANALYSIS WITH pplane8.m (MATLAB® toolbox) Avances en Ciencias e Ingeniería phase plane critic point autonomous system dynamic system |
| title | DYNAMIC SYSTEM ANALYSIS WITH pplane8.m (MATLAB® toolbox) |
| title_full | DYNAMIC SYSTEM ANALYSIS WITH pplane8.m (MATLAB® toolbox) |
| title_fullStr | DYNAMIC SYSTEM ANALYSIS WITH pplane8.m (MATLAB® toolbox) |
| title_full_unstemmed | DYNAMIC SYSTEM ANALYSIS WITH pplane8.m (MATLAB® toolbox) |
| title_short | DYNAMIC SYSTEM ANALYSIS WITH pplane8.m (MATLAB® toolbox) |
| title_sort | dynamic system analysis with pplane8 m matlab r toolbox |
| topic | phase plane critic point autonomous system dynamic system |
| url | http://www.exeedu.com/publishing.cl/inicio.php?lnk=ctnd&id=275 |
| work_keys_str_mv | AT alejandroregaladomendez dynamicsystemanalysiswithpplane8mmatlabtoolbox AT jesusgmadridgonzalez dynamicsystemanalysiswithpplane8mmatlabtoolbox |