Application of modified generalized trigonometric functions in identification of human tooth vibration properties

DOI10.1016/j.cnsns.2020.105290zbMath1454.34033OpenAlexW3023806220MaRDI QIDQ2208110

D. Cveticanin, Livija Cveticanin, Sanja Vujkov

Publication date: 23 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2020.105290

zbMATH Keywords

human tooth motionKrilov-Bogoliubov proceduremodified generalized trigonometric function

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Cites Work

• Remarks on generalized trigonometric functions
• Properties of generalized trigonometric functions
• Multiple-angle formulas of generalized trigonometric functions with two parameters
• Applications of generalized trigonometric functions with two parameters
• On the closed solution to some nonhomogeneous eigenvalue problem with \(p\)-Laplacian
• Asymptotical behaviour of a system with damping and high power-form non-linearity
• OSCILLATIONS OF NON-LINEAR SYSTEM WITH RESTORING FORCE CLOSE TO SIGN(X)
• Asymptotic Approaches to Strongly Non-linear Dynamical Systems
• Ordinary Differential Equations and Mechanical Systems

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