Titlebook: Nonlinear Oscillations; Exact Solutions and Ivana Kovacic Book 2020 Springer Nature Switzerland AG 2020 Hardening Duffing oscillators.Soft

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late the content.Shows how the approximate solutions can be This book presents exact, closed-form solutions for the response of a variety of nonlinear oscillators (free, damped, forced). The solutions presented are expressed in terms of special functions. To help the reader understand these `non-sta

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Free Conservative Oscillators: From Linear to Nonlinear Systems,ach group of nonlinear oscillators are clearly pointed out and compared with the ones for linear oscillators. Many of these solutions for motion are used in the subsequent chapters for further analyses of these oscillators in different arrangements or adjustments.

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Free Damped Oscillators,f Jacobi elliptic function is also presented for purely nonlinear oscillators with different types of damping. Finally, the averaging technique that includes the use of wave functions is applied for finding the approximate response of damped constant restoring force oscillators.

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Forced Oscillators, force are specially designed to achieve a desired form of the response. An averaging procedure for obtaining approximate solutions for the steady-state response of harmonically excited purely nonlinear oscillators in terms of elliptic functions is also presented.

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