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Showing 1 to 13 of 13 for “"Strong nonlinearity"”.

  1. Homotopy Analysis Method For Nonlinear Ordinary Eigenvalue Problems

    … and valid for differential equations with strong nonlinearity.</p> <p>Keywords: Nonlinear initial value problem, Nonlineareigenvalueproblem, Homotopy analysis method, Duffing's equation, Perturbation theory.</p>

    usm Repository record for Homotopy Analysis Method For Nonlinear Ordinary Eigenvalue Problems (opens in a new tab)

  2. Analog adaptive nonlinear filtering and spectral analysis for low-power audio applications

    … a linear system, but develops in the presence of strong nonlinearity.

    mit Repository record for Analog adaptive nonlinear filtering and spectral analysis for low-power audio applications (opens in a new tab)

  3. Nonlinearity engineering with the Quarton

    … and applications of a new technique we call "nonlinearity engineering" using a recent superconducting qubit, the Quarton. In traditional nonlinear optics, nonlinear effects are usually weak perturbations to linear interactions. Similarly, microwave quantum optics with superconducting circuits …

    mit Repository record for Nonlinearity engineering with the Quarton (opens in a new tab)

  4. Quantum acoustics with a released thickness-mode mechanical resonator

    … acoustodynamics (cQAD) platform integrates the strong nonlinearity of superconducting Josephson elements with high-quality mechanical resonators, enabling potential applications in quantum memories, transducers, and sensors. A central challenge in this field is achieving strong electromechanical …

    uiuc Repository record for Quantum acoustics with a released thickness-mode mechanical resonator (opens in a new tab)

  5. Formation of mineralogical zonations in ophiolites through reactive porous flow : a modeling study

    … v. 36, p.207-221). This model includes the strong nonlinearity feedback that has been invoked to lead to the channelization of melt flow. The instability leads to the formation of elongated regions where orthopyroxene is depleted. This model predicts that the melt is focused into the dunite …

    texas Repository record for Formation of mineralogical zonations in ophiolites through reactive porous flow : a modeling study (opens in a new tab)

  6. I. A pressure Poisson method for the incompressible Navier-Stokes equations : II. Long time behavior of the Klein-Gordon equations

    … case, we show that for a positive (repulsive) strong nonlinearity, the system thermalizes into a state which exhibits characteristics of linear waves. Through the introduction of a renormalized wave basis, we show that the waves exhibit a renormalized dispersion relation and a Planck-like …

    mit Repository record for I. A pressure Poisson method for the incompressible Navier-Stokes equations : II. Long time behavior of the Klein-Gordon equations (opens in a new tab)

  7. Intentional nonlinearity in the design of dynamic micro/nanomechanical resonators via nanomaterial-integrated fabrication

    … damping, these devices often exhibit significant nonlinearity, which results in limiting the operational range when they are intended to operate in a linear regime. However, nonlinear resonance, easily realized in a micro/nanomechanical system, also opens up a whole new window for the study of …

    uiuc Repository record for Intentional nonlinearity in the design of dynamic micro/nanomechanical resonators via nanomaterial-integrated fabrication (opens in a new tab)

  8. Nonlinear vibration energy harvesting by intentional excitation of high-frequency dynamical instability

    … generates an essential geometric cubic sti ness nonlinearity. Various electromechanical coupling elements are included within the oscillator coupling in various con gurations depending on the system being studied. Under single or repeated impulsive input, the damped dynamics of this system …

    uiuc Repository record for Nonlinear vibration energy harvesting by intentional excitation of high-frequency dynamical instability (opens in a new tab)

  9. A numerical study on the propagation and interaction of strongly nonlinear solitary waves

    We study numerically a strongly nonlinear long wave model for surface gravity waves propagating in both one and two horizontal dimensions. This model often referred to as the Su-Gardner or Green-Naghdi equations can be derived from the Euler equations under the assumption that the ratio between the …

    njit Repository record for A numerical study on the propagation and interaction of strongly nonlinear solitary waves (opens in a new tab)

  10. Unified interpretation of nonlinear elasticity in granular solids, A

    … the resonant peak under the condition that the nonlinearity in the oscillation system is strong. This model provides a unified interpretation of nonlinear elasticity. The asymmetry of the resonance curve is caused by softening, which is documented by a reduction of the resonant frequency during …

    colo-mines Repository record for Unified interpretation of nonlinear elasticity in granular solids, A (opens in a new tab)

  11. Pulse Sharpening Effects of Thin Film Ferroelectric Transmission Lines

    … popularity due to its high dielectric constant, strong nonlinearity, and lack of lead, was grown. Molecular beam epitaxy and sol-gel growth were both explored and sol-gel was chosen as the growth method for the final device, in part due to its ability to grow BTO thin films on highly conductive …

    arkansas Repository record for Pulse Sharpening Effects of Thin Film Ferroelectric Transmission Lines (opens in a new tab)

  12. Uncertainty Quantification, State and Parameter Estimation in Power Systems Using Polynomial Chaos Based Methods

    … either too time consuming or suffering from the strong nonlinearity in the system. To solve these, this Dissertation will mainly focus on developing the polynomial chaos based method to replace the traditional ones. Using it, the uncertainties from the model and the measurement are propagated …

    vt Repository record for Uncertainty Quantification, State and Parameter Estimation in Power Systems Using Polynomial Chaos Based Methods (opens in a new tab)

  13. Elastic wave tailoring at the macro/micro/nano- scales using intentional strongly nonlinear coupling

    … imposed by the atomic structure of materials. Nonlinearity, especially strong nonlinearity, introduces additional dynamics that are not accessible in the linear dynamic regime such as frequency-amplitude dependence, sudden transitions (jumps), bifurcations, saturation effects, internal …

    uiuc Repository record for Elastic wave tailoring at the macro/micro/nano- scales using intentional strongly nonlinear coupling (opens in a new tab)