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Bifurcation Theory of Limit Cycles 极限环分支理论 by Han Maoan, Han Maoan著, Oan Ma, Maoan Han is a book available to read on EtoBox.

What is Bifurcation Theory of Limit Cycles 极限环分支理论 about?

1 (p1): Chapter 1 Limit Cycle and Its Perturbations 1 (p1-1): 1.1 Basic notations and facts 7 (p1-2): 1.2 Further discussion on property of limit cycles 13 (p1-3): 1.3 Perturbations of a limit cycle 20 (p2): Chapter 2 Focus Values and Hopf Bifurcation 20 (p2-1): 2.1 Poincarémap and focus value 28 (p2-2): 2.2 Normal form and Poincaré-Lyapunov technique 44 (p2-3): 2.3 Hopf bifurcation near a focus and systems with symmetry 58 (p2-4): 2.4 Degenerate Hopf bifurcation near a center 72 (p2-5): 2.5 Hopf bifurcation for Liénard systems 92 (p2-6): 2.6 Hopf bifurcation for some polynomial systems 106 (p3): Chapter 3 Perturbations of Hamiltonian Systems 106 (p3-1): 3.1 General theory 124 (p3-2): 3.2 Limit cycles near homoclinic and heteroclinic loops 163 (p3-3): 3.3 Finding more limit cycles by Melnikov functions 183 (p3-4): 3.4 Limit cycle bifurcations near a nilpotent center 200 (p3-5): 3.5 Limit cycle bifurcations with a nilpotent cusp 214 (p3-6): 3.6 Limit cycle bifurcations with a nilpotent saddle 254 (p4): Chapter 4 Stability of Homoclinic Loops and Limit Cycle Bifurcations 254 (p4-1): 4.1 Local behavior near a saddle 269 (p4-2): 4.2 Stability of a homoclinic loop and bifurcation near i

Author

Han Maoan, Han Maoan著, Oan Ma, Maoan Han

Publisher

北京:科学出版社发行部

Published

2013

Language

ZH

ISBN

9787030361400