Strongly nonlinear oscillators. Analytical solutions

DOI10.1007/978-3-319-58826-1zbMath1367.70001OpenAlexW2617567260MaRDI QIDQ5919837

Livija Cveticanin

Publication date: 24 July 2017

Published in: Mathematical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-58826-1

zbMATH Keywords

deterministic chaosaxial vibration of strong nonlinear rodchaos in oscillatorsforced strong nonlinear oscillatorfree strong nonlinear oscillatornon-ideal mechanical systemopto-mechanical oscillatoroscillators with time-variable parameterspurely nonlinear oscillatorsolving nonlinear oscillator equationstwo-degree-of-freedom oscillatorvocal cord vibrationwaves and oscillations

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of particles and systems (70-01)

Related Items (12)

Modelling and analysis of the nonlinear string-mass structure of the vibration absorber ⋮ Upper Bound on the Number of Zeros of Abelian Integrals for Hyperbolic Hamiltonian Systems of Degree Seven ⋮ Cyclicity of periodic annulus and Hopf cyclicity in perturbing a hyper-elliptic Hamiltonian system with a degenerate heteroclinic loop ⋮ Exact steady states of periodically forced and essentially nonlinear and damped oscillator ⋮ Periodic motion in an excited and damped cubic nonlinear oscillator ⋮ Complex Envelope Variable Approximation in Nonlinear Dynamics ⋮ Parameter identification on abelian integrals to achieve Chebyshev property ⋮ Analytical investigation on the dynamics of the smooth and discontinuous oscillator ⋮ Symbolic computation for the qualitative theory of differential equations ⋮ Perturbation of a period annulus with a unique two-saddle cycle in higher order Hamiltonian ⋮ Nonlinear lightweight metastructure with effective negative stiffness ⋮ EXACT BOUND ON THE NUMBER OF LIMIT CYCLES ARISING FROM A PERIODIC ANNULUS BOUNDED BY A SYMMETRIC HETEROCLINIC LOOP

This page was built for publication: Strongly nonlinear oscillators. Analytical solutions