Application of the reduction process
In this chapter we will first study three examples from mechanics. All are plane double pendula. These examples serve to explain some of the assertions made in the Introduction. These pendula are not intended to represent models of real systems, but they are considered because their dynamic behavior is easy to understand. However, they are important in order to become familiar with the possible types of behavior of a system after loss of stability of an equilibrium position.
KeywordsSpherical Shell Stability Boundary Poincare Mapping Double Pendulum Follower Force
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