Results 31 to 40 of about 5,152,512 (204)
Exploring Limit Cycle Bifurcations in the Presence of a Generalized Heteroclinic Loop
Mathematics, 2023 This work revisits the number of limit cycles (LCs) in a piecewise smooth system of Hamiltonian with a heteroclinic loop generalization, subjected to perturbed functions through polynomials of degree m.
Erli Zhang, Stanford Shateyi
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Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold [PDF]
, 2019 We study the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert number of this family.
Buzzi, Claudio A. [UNESP] +9 more
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On Melnikov functions of a homoclinic loop through a nilpotent saddle for planar near-Hamiltonian systems [PDF]
, 2008 The first-order Melnikov function of a homoclinic loop through a nilpotent saddle for general planar near-Hamiltonian systems is considered. The asymptotic expansion of this Melnikov function and formulas for its first coefficients are given.
Han, Maoan +7 more
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, 2012 Kiaer’s solo exhibition, ‘Melnikov Project, Cylindrical House Studio’, presented work based on the artist’s research into notions of sleep, and painting’s death, as prompted by the house of architect Konstantin Melnikov.
Kiaer, Ian
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Studying Chaos in a Modified Dynamical Model: Some Applications
AxiomsMany authors consider modified SIQR (susceptible, infected, isolated (quarantined), and recovered individuals) models for childhood diseases. In this paper, we examine a modified differential system with N free parameters that may be of interest to ...
Tsvetelin Zaevski +4 more
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Analysis of Tangential Nonlinear Vibration on Machine Hydrostatic Slide
Shock and Vibration, 2019 In this paper, the nonlinear dynamic responses of the hydrostatic slide were investigated and the effects of damping and external force to control the vibration system were discussed.
Zhongkui Zhang +3 more
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Insect Science, EarlyView.We studied oviposition site selection in a leaf‐mining moth (Stigmella sorbi) on rowan trees (Sorbus aucuparia) in northwestern Russia, assessing larval performance across different shoot types, leaf positions, and leaflets. Larval survival was highest on long vegetative shoots, yet females showed no preference for these optimal sites.
Mikhail V. Kozlov, Vitali Zverev
wiley +1 more source
Solitary-pulse regimes of solid-state laser additively mode locked by a cascading nonlinearity
, 1996 The steady-state additive mode locking of a laser incorporating phase-mismatched frequency converter in an external cavity is analyzed. The model includes a main cavity with a slowly bleaching lasing transition and a fiber with χ(2) grating, in the form ...
A. V. Shipulin +3 more
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Poincaré-Melnikov-Arnold method for analytic planar maps [PDF]
, 1995 The Poincare-Melnikov-Arnold method for planar maps gives rise to a Melnikov function defined by an infinite and (a priori) analytically uncomputable sum.
Delshams Valdés, Amadeu +1 more
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Applied SciencesMany authors analyze the prediction of chaos in a Josephson junction with quadratic damping by the Melnikov technique. Due to the lack of an explicit presentation of the Melnikov integral, the researchers apply numerical methods and illustrative examples
Nikolay Kyurkchiev +4 more
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