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力学基础与工程技术前沿
单摆:共振层、分岔树到混沌 (英文版) Resonance and Bifur
作 者:
Albert C.J.Luo(罗朝俊)
ISBN:978-7-04-048004-7 出版时间:2017-10-09
全书目录
本章目录
内封
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目录
前辅文
1 Resonance and Hamiltonian Chaos
2 Hamiltonian Chaos in Pendulum
3 Parametric Chaos in Pendulum
4 Nonlinear Discrete Systems
5 Periodic Flows in Continuous Systems
6 Periodic Motions to Chaos in Pendulum
Subject Index
6.1 Periodic motions in pendulum
6.1.1 Implicit discretization
6.1.2 Periodic motions
6.2 Bifurcation trees to chaos
6.2.1 Period-1 motions to chaos
6.2.2 Period-3 motions to chaos
6.2.3 Period-5 motions to chaos
6.3 Frequency-amplitude characteristics
6.3.1 Period-1 to period-4 motions
6.3.2 Period-3 to period-6 motions
6.3.3 Symmetric to asymmetric period-5 motions
6.4 Bifurcation trees varying with excitation amplitude
6.4.1 Non-travelable period-1 motions to chaos
6.4.2 Non-travelable period-3 motions to chaos
6.4.3 Travelable period-1 motions to chaos
6.4.4 Travelable period-2 motions to chaos
6.5 Numerical simulations
6.5.1 Non-travelable periodic motions
6.5.1.1 Period-1 to period-4 motions
6.5.1.2 Period-3 to period-6 motions
6.5.1.3 Period-5 motions
6.5.2 Travelable periodic motions
6.5.2.1 Travelable period-1 to period-2 motions
6.5.2.2 Travelable period-2 to period-8 motions
References
6 Periodic Motions to Chaos in Pendulum
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