Results 11 to 20 of about 5,152,512 (204)
Prediction of chaos in a Josephson junction by the Melnikov-function technique [PDF]
Physical Review B, 1986 The Melnikov function for prediction of Smale horseshoe chaos is applied to the rf-driven Josephson junction. Linear and quadratic damping resistors are considered. In the latter case the analytic solution including damping and dc bias is used to obtain an improved threshold curve for the onset of chaos.
Bartuccelli, M. +3 more
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Noetherianity and Length of Melnikov Functions
Bulletin of the Brazilian Mathematical Society, New SeriesAbstract We study foliations in $$\mathbb {C}^2$$ C 2
Pavao Mardešić +3 more
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Second Order Melnikov Functions of Piecewise Hamiltonian Systems [PDF]
International Journal of Bifurcation and Chaos, 2020 In this paper, we consider the general perturbations of piecewise Hamiltonian systems. A formula for the second order Melnikov functions is derived when the first order Melnikov functions vanish. As an application, we can improve an upper bound of the number of bifurcated limit cycles of a piecewise Hamiltonian system with quadratic polynomial ...
Françoise, Jean-Pierre +2 more
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On the number of zeros of Melnikov functions [PDF]
Annales de la Faculté des sciences de Toulouse : Mathématiques, 2011 We provide an effective uniform upper bound for the number of zeros of the first non-vanishing Melnikov function of a polynomial perturbations of a planar polynomial Hamiltonian vector field. The bound depends on degrees of the field and of the perturbation, and on the order k
Benditkis, Sergey, Novikov, Dmitry
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Brodogradnja, 2021 The trimaran vessel rolls strongly at low forward speed and may capsize in high sea conditions due to chaos and loss of stability, which is not usually considered in conventional limit-based criteria.
Yihan Zhang +3 more
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Bifurcation and Chaotic Behavior of Duffing System with Fractional-Order Derivative and Time Delay
Fractal and Fractional, 2023 In this paper, the abundant nonlinear dynamical behaviors of a fractional-order time-delayed Duffing system under harmonic excitation are studied. By constructing Melnikov function, the necessary conditions of chaotic motion in horseshoe shape are ...
Cuiyan Wang +3 more
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Short-distance constraints on the hadronic light-by-light [PDF]
EPJ Web of Conferences, 2022 The muon anomalous magnetic moment continues to attract interest due to the potential tension between experimental measurement [1, 2] and the Standard Model prediction [3]. The hadronic light-by-light contribution to the magnetic moment is one of the two
Bijnens Johan +2 more
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An Application of the Melnikov Method to a Piecewise Oscillator [PDF]
, 2023 In this paper we present a new application of the Melnikov method to a class of periodically perturbed Duffing equations where the nonlinearity is non-smooth as otherwise required in the classical applications.
Zanolin F., Gjata O.
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Bifurcation for a class of piecewise cubic systems with two centers
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper, a class of symmetric cubic planar piecewise polynomial systems are presented, which have two symmetric centers corresponding to two period annuli.
Guilin Ji, Yangjian Sun
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Nilpotence of orbits under monodromy and the length of Melnikov functions
Physica D: Nonlinear Phenomena, 2021 Let $F\in\mathbb{C}[x,y]$ be a polynomial, $γ(z)\in π_1(F^{-1}(z))$ a non-trivial cycle in a generic fiber of $F$ and let $ω$ be a polynomial $1$-form, thus defining a polynomial deformation $dF+εω=0$ of the integrable foliation given by $F$. We study different invariants: the orbit depth $k$, the nilpotence class}$n$, the derivative length}$d ...
Mardešić, Pavao +3 more
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