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- W4348766 abstract "Unlike the previous chapter, which focused on local techniques for nonlinear systems, this chapter introduces global ideas to understand the behavior of these systems. In particular, nullclines are used to partition the phase space into regions where the vector field points in certain directions. This allows us to understand heteroclinic bifurcations. A further notion of stability, Liapunov stability, is introduced. The phase plane for the ideal pendulum is described using the total energy function. Finally, two special types of systems are introduced: gradient systems and Hamiltonian systems." @default.
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- W4348766 date "2013-01-01" @default.
- W4348766 modified "2023-09-23" @default.
- W4348766 title "Global Nonlinear Techniques" @default.
- W4348766 doi "https://doi.org/10.1016/b978-0-12-382010-5.00009-9" @default.
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