TY - BOOK AU - Kovacic,Ivana ED - SpringerLink (Online service) TI - Nonlinear Oscillations: Exact Solutions and their Approximations SN - 9783030531720 AV - TJ1-1570 U1 - 621 23 PY - 2020/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Mechanical engineering KW - Statistical physics KW - Mechanics KW - Mechanics, Applied KW - Mechanical Engineering KW - Applications of Nonlinear Dynamics and Chaos Theory KW - Theoretical and Applied Mechanics N1 - Chapter1. Oscillators and Oscillatory Responses in Practical and Theoretical Systems -- Chapter2. Free Conservative Oscillators: from Linear to Nonlinear Systems -- Chapter3. Free Damped Oscillators -- Chapter4. Forced Oscillators -- Chapter5. Nonlinear Isochronous Oscillators -- Chapter6. From Chains of Nonlinear Oscillators to Continuous Nonlinear Systems N2 - 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-standard' functions, detailed explanations and rich illustrations of their meanings and contents are provided. In addition, it is shown that these exact solutions in certain cases comprise the well-known approximate solutions for some nonlinear oscillations UR - https://doi.org/10.1007/978-3-030-53172-0 ER -