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This optimization problem is numerically solvable by a continuation method.
The equations of motion are developed by applying the principle of virtual work and are solved by a continuation method.
IntEmployingonances are found and the ensuing multimodal oscillations are described.
These equations are transformed into the frequency domain by the harmonic balance method (HBM) and are solved by a continuation method.
The equations of motion are developed by applying the principle of virtual work and are solved by a continuation method, 1 3 and 1 5 internal resonances are discovered and their consequences are discussed.
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Four-end solutions have been constructed by Del Pino, Kowalczyk, Pacard and Wei when the angle θ of the ends is close to π/2 or 0 using the Lyapunov Schmid reduction method, and later by Kowalczyk, Liu and Pacard using a continuation method for general θ∈ 0,π/2).
Therefore, the paper gives a method using a continuation method for solving the nonlinear equations efficiently.
The bifurcation diagram has been generated using the shooting method in combination with a continuation method.
By combining the Galerkin method with the harmonic balance method, the equations of motion are converted into a quadratic function treated with a continuation method: the Asymptotic Numerical Method, where the generalized displacement vector is presented as a series expansion.
Solution spaces for adsorption cycles are mapped out using a continuation method.
The MESH equations are solved, when necessary, by a homotopy continuation method.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com