Results 21 to 30 of about 1,438,024 (273)
WKB and resurgence in the Mathieu equation [PDF]
, 2017 In this paper, based on lectures by the authors at the May 2015 workshop {\it Resurgence, Physics and Numbers}, at the Centro di Ricerca Matematica Ennio De Giorgio of the Scuola Normale Superiore in Pisa, we explain the origin of resurgent trans-series in the Mathieu equation spectral problem, using uniform WKB and all-orders (exact) WKB.
Dunne, Gerald V., Unsal, Mithat
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On the solutions of the Mathieu’s equation [PDF]
Vietnam Journal of Mechanics, 2008 As shown in [1] solutions of the Mathieu’s equation were classified on three fundamental kinds depending mainly on its parameters. These solutions were constructed in the form of infinite series. This paper presents a new approach in which approximated analytical solutions of the Mathieu’s equation are constructed in the finite form.
Dao Huy Bich +2 more
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Sensors, 2017 Vibration frequencies and modes for the thickness-shear vibrations of infinite partially-electroded circular AT-cut quartz plates are obtained by solving the two-dimensional (2D) scalar differential equation derived by Tiersten and Smythe.
Bin Wang +3 more
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Transverse oscillation of particles in the vicinity of resonances for a cyclotron
Physical Review Accelerators and Beams, 2019 Transverse oscillation is an important issue in beam dynamics of cyclotrons and can be described by the Mathieu equation. We review the standard form of the Mathieu equation, d^{2}u/dθ^{2}+(δ+ϵ·cos2θ)u=0, and propose a modification of the method of ...
Kai Zhou +4 more
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Stability Analysis of Fractional-Order Mathieu Equation with Forced Excitation
Fractal and Fractional, 2022 The advantage of fractional-order derivative has attracted extensive attention in the field of dynamics. In this paper, we investigated the stability of the fractional-order Mathieu equation under forced excitation, which is based on a model of the ...
Ruihong Mu +3 more
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Stability approach for periodic delay Mathieu equation by the He- multiple-scales method
Alexandria Engineering Journal, 2018 In the present work, the version of homotopy perturbation included time-scales is applied to the governing equation of time-periodic delay Mathieu equation. Periodical structure for the amplitude of the zero-order perturbation is constructed.
Yusry O. El-Dib
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Bautin bifurgation of a modified generalized Van der Pol-Mathieu equation [PDF]
, 2016 summary:The modified generalized Van der Pol-Mathieu equation is generalization of the equation that is investigated by authors Momeni et al. (2007), Veerman and Verhulst (2009) and Kadeřábek (2012).
Kadeřábek, Zdeněk
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European Journal of Personality, EarlyView., 2020 Abstract Vocational interests are traditionally conceived as stable preferences for different activities. However, recent theorizing suggests their intraindividual variability. This preregistered experience sampling study examined intraindividual variation in selected vocational interests states and related situation and person factors (N = 237 ...
Lena Roemer +3 more
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EPJ Web of Conferences, 2014 The Bohr-Mottelson Hamiltonian is amended with a potential which depends on both β and γ deformation variables and which allows us to separate the β variable from the other variables.
Raduta A. A., Buganu P.
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Observational constraints and preheating in cuscuton inflation
European Physical Journal C: Particles and Fields, 2023 We study cuscuton inflation for the models where the potential of the cuscuton takes quadratic and exponential forms. We find that for the quadratic potential, a scalar spectral index $$n_s$$ n s is not affected by cuscuton at the leading order in the ...
Phongpichit Channuie +2 more
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