AN EXPLICIT RECURSIVE FORMULA FOR COMPUTING THE NORMAL FORM AND CENTER MANIFOLD OF GENERAL n-DIMENSIONAL DIFFERENTIAL SYSTEMS ASSOCIATED WITH HOPF BIFURCATION

作者：Tian Yun^*; Yu Pei

来源：International Journal of Bifurcation and Chaos, 2013, 23(6): 1350104.

DOI：10.1142/S0218127413501046

• Differential systems
• Hopf bifurcation
• normal forms
• center manifold
• computational efficiency
• symbolic computation
• Maple

An explicit, computationally efficient, recursive formula is presented for computing the normal form and center manifold of general n-dimensional systems associated with Hopf bifurcation. Maple program is developed based on the analytical formulas, and shown to be computationally efficient, using two examples.

• 出版日期2013-6