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Contents Contents i List of Figures vii 0.1 Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xv
trical circuits, mechanical systems, control systems, and other engineering disciplines, they need to be able to use a wide range of nonlinear analysis tools. Despite the fact that these tools have developed rapidly since the mid 1990s, nonlinear control is still largely a tough challenge.
14 mar 2021 · The harmonically-driven, linearly-damped, plane pendulum illustrates many of the phenomena exhibited by non-linear systems as they evolve from ordered to chaotic motion. It illustrates the remarkable fact that determinism does not imply either regular behavior or predictability.
Nonlinear Oscillators. 4.1 Weakly Perturbed Linear Oscillators. Consider a nonlinear oscillator described by the equation of motion. 2 ̈x + 0 x = ǫ h(x) . Here, ǫ is a dimensionless parameter, assumed to be small, and h(x) (4.1) is a nonlinear function of x. In general, we might consider equations of the form. 2 + ̈x 0 x = ǫ h(x, ̇x) ,
We will now explore some properties of non-linear dynamical systems, including methods to characterize solutions, and the study of solutions with chaotic behavior. 7.1.1 Evolution of the system by rst order di erential equations
What is a nonlinear circuit? It is easy to understand the difference between a linear and a nonlinear circuit by looking at the difference between a linear and a nonlinear equation:
This course-based text revisits classic concepts in nonlinear circuit theory from a very much introductory point of view: the presentation is completely self-contained and does not assume any prior knowledge of circuit theory.
