Titlebook: Regular and Chaotic Oscillations; Polina S. Landa Book 2001 Springer-Verlag Berlin Heidelberg 2001 Degrees of freedom.Mechanics.Mechanik.V

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Introductionre to this term. However, we will use the term . for general problems of the theory. Vibration can be both deleterious and useful. For example, in complex constructions undesirable vibration can arise because of inevitable clearances. Alternatively, there is a class of machines, called ., where vibr

Blatant

The main analytical methods of studies of nonlinear oscillations in near-conservative systemsLyapunov [216, 217], laying the mathematical foundations for this theory. Although, it should be noted that a direct application of these mathematical methods to oscillation theory as such occurred much later, primarily owing to the works of Andronov [5, 7, 8].

錯誤

Examples of natural oscillations in systems with one degree of freedomddition, oscillations executed in systems with slowly time-varying parameters we call natural too. In principle, such systems contain energy sources but these sources are not responsible for the excitation of oscillations.

亂砍

Natural oscillations in systems with many degrees of freedom. Normal oscillationses of freedom of the system. For linear systems the number of normal oscillations is exactly equal to the number of degrees of freedom, whereas for nonlinear systems this is not necessarily so. For continuous systems having an infinitely large number of degrees of freedom the number of normal oscill

MORT

PSA-velocity

者變

細節(jié)

Synchronization and chaotization of self-oscillatory systems by an external harmonic forcecase of the similar phenomena in coupled self-oscillatory systems (see the next chapter) when one of these systems is much more powerful than the other ones and its oscillations therefore depend only slightly on the oscillations of the other systems. Although equations corresponding to this case inc

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