Design of nonlinear isochronous oscillators

作者：Kovacic Ivana^*; Mickens Ronald E

来源：Nonlinear Dynamics, 2015, 81(1-2): 53-61.

DOI：10.1007/s11071-015-1972-x

• Amplitude-independent period
• Nonlinear oscillators
• Generalized harmonic oscillators
• Constant amplitude
• Decreasing amplitude

This study provides two theorems defining two classes of conservative nonlinear oscillators that have some characteristics of the linear harmonic oscillators, one of which is an amplitude-independent period. These theorems also define their response in terms of initial conditions. The first class of these nonlinear oscillators is also characterized by a constant amplitude, while the amplitude of the second one decreases in time. A few illustrative examples are also presented.

• 出版日期2015-7