Phase Portraits of Planar Quadratic Systems

• Main Author: Reyn, John (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2007.
• Series: Mathematics and Its Applications ; 583
• Subjects: 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...

Table of Contents:

• 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.