Phase Portraits of Planar Quadratic Systems

• Κύριος συγγραφέας: Reyn, John (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Springer US, 2007.
• Σειρά: Mathematics and Its Applications ; 583
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; Biomathematics.; Ordinary Differential Equations.; Dynamical Systems and Ergodic Theory.; Genetics and Population Dynamics.

Although some examples of phase portraits of quadratic systems can already be found in the work of Poincaré, the first paper dealing exclusively with these systems was published by Büchel in 1904. By the end of the 20th century an increasing flow of publications resulted in nearly a thousand papers...

Πίνακας περιεχομένων:

• Critical points in quadratic systems
• Isoclines, critical points and classes of quadratic systems
• Analyzing phase portraits of quadratic systems
• Phase portraits of quadratic systems in the class mf=0
• Quadratic systems with center points
• Limit cycles in quadratic systems
• Phase portraits of quadratic systems in the class mf=1
• Phase portraits of quadratic systems in the class mf=2
• Phase portraits of quadratic systems in the class mf=3
• Phase portraits of quadratic systems in the class mf=4.