Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles

1. Introduction
Maoan Han, Pei Yu

2. Hopf Bifurcation and Normal Form Computation
Maoan Han, Pei Yu

3. Comparison of Methods for Computing Focus Values
Maoan Han, Pei Yu

4. Application (I)—Hilbert’s 16th Problem
Maoan Han, Pei Yu

5. Application (II)—Practical Problems
Maoan Han, Pei Yu

6. Fundamental Theory of the Melnikov Function Method
Maoan Han, Pei Yu

7. Limit Cycle Bifurcations Near a Center
Maoan Han, Pei Yu

8. Limit Cycles Near a Homoclinic or Heteroclinic Loop
Maoan Han, Pei Yu

9. Finding More Limit Cycles Using Melnikov Functions
Maoan Han, Pei Yu

10. Limit Cycle Bifurcations in Equivariant Systems
Maoan Han, Pei Yu

Nyckelord: Mathematics, Dynamical Systems and Ergodic Theory, Approximations and Expansions, Ordinary Differential Equations, Mathematical Software, Nonlinear Dynamics