Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles

• Κύριοι συγγραφείς: Han, Maoan (Συγγραφέας), Yu, Pei (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London, 2012.
• Σειρά: Applied Mathematical Sciences, 181
• Θέματα: Mathematics.; Approximation theory.; Dynamics.; Ergodic theory.; Differential equations.; Computer software.; Statistical physics.; Dynamical Systems and Ergodic Theory.; Approximations and Expansions.; Ordinary Differential Equations.; Mathematical Software.; Nonlinear Dynamics.

Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical solutions to problems. Hopf bifurcation from a center or a focus  is integral to the theory of bifurcati...

Πίνακας περιεχομένων:

• Hopf Bifurcation and Normal Form Computation
• Comparison of Methods for Computing Focus Values
• Application (I)—Hilbert’s 16th Problem
• Application (II)—Practical Problems
• Fundamental Theory of the Melnikov Function Method
• Limit Cycle Bifurcations Near a Center
• Limit Cycles Near a Homoclinic or Heteroclinic Loop
• Finding More Limit Cycles Using Melnikov Functions
• Limit Cycle Bifurcations in Equivariant Systems.