Nonlinear Dynamical Systems in Engineering

DOI10.1007/978-3-642-22735-6zbMath1244.65104OpenAlexW2485149475MaRDI QIDQ3092717

Nicolae Herişanu, Vasile Marinca

Publication date: 21 September 2011

Full work available at URL: https://doi.org/10.1007/978-3-642-22735-6

zbMATH Keywords

monographconvergencemethod of harmonic balanceLagrange multiplierapproximate solutionsnumerical examplesnonlinear oscillationsperiodic solutionFourier seriesBlasius problemnonlinear dynamic systemsthermal radiationLotka-Volterra modelthin film flowMHD flowVolterra's population modelDuffing oscillatorsThomas-Fermi equationfourth grade fluidKrylov-Bogolyubov methodLagrange methodLindstedt-Poincaré perturbation methodmultiscales methodfree vibrations of cantilever beamoptimal homotopy asymptotic, optimal homotopy perturbationoptimal variational iteration methodsreview of small parameter methodsswirling flow downstream of a turbine runner

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Vibrations in dynamical problems in solid mechanics (74H45) Population dynamics (general) (92D25) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Stability and convergence of numerical methods for ordinary differential equations (65L20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Magnetohydrodynamics and electrohydrodynamics (76W05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Basic methods in fluid mechanics (76Mxx) Numerical and other methods in solid mechanics (74Sxx) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

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