Design of nonlinear isochronous oscillators
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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.
KeywordsAmplitude-independent period Nonlinear oscillators Generalized harmonic oscillators Constant amplitude Decreasing amplitude
Ivana Kovacic acknowledges support received from the Ministry of Science, Republic of Serbia (Project No. ON174028).
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