Study of Stability and Chaotic Behavior of a Parametrically Forced Oscillator Under Extreme Resonance
T. S. Amer, Emad H. Aly, H. M. Gad, Abdelhay A. Sallam
Topics & Concepts
MultistabilityParametric oscillatorLyapunov exponentParametric statisticsMathieu functionAttractorStability (learning theory)BifurcationControl theory (sociology)ChaoticMathematicsResonance (particle physics)Duffing equationMathematical analysisEquilibrium pointForcing (mathematics)PhysicsStatistical physicsDynamical systems theoryLyapunov functionBifurcation theoryTime derivativePhysical systemComputer simulationSynchronization (alternating current)Nonlinear systemVan der Pol oscillatorNumerical analysisSeries (stratigraphy)Period-doubling bifurcationElasticity and Wave PropagationNonlinear Dynamics and Pattern FormationQuantum chaos and dynamical systems