Limit Cycles
Chapter
Abstract
For autonomous nonlinear and non-conservative systems described by the differential equations a new kind of trajectory, the limit cycle, has been briefly encountered at various points in the preceding chapters. The Van der Pol electronic oscillator with P(x, y) = y and Q(x, y) = ϵ(1 - x2)y - x, for example, made its debut in Chapter 2. In this chapter we would like to explore some of the more important properties of limit cycles in greater depth.
$$ \frac{{dx}}
{{dt}} = P(x,y)\frac{{dy}}
{{dt}} = Q(x,y) $$
(6.1)
Keywords
Singular Point Phase Plane Closed Curve Lorenz System Stable Limit Cycle
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information
© Birkhäuser Boston 1997