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Higher order stroboscopic averaged functions: a general relationship with Melnikov functions
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In the research literature, one can find distinct notions for higher order averaged functions of regularly perturbed non-autonomous $T$-periodic differential equations of the kind $x'=\varepsilon F(t,x,\varepsilon)$.
Douglas Novaes
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Third Order Melnikov Functions of a Cubic Center under Cubic Perturbations
Mathematics, 2022 In this paper, cubic perturbations of the integral system (1+x)2dH where H=(x2+y2)/2 are considered. Some useful formulae are deduced that can be used to compute the first three Melnikov functions associated with the perturbed system.
Yanwei Liu, Tonghua Zhang, Xia Liu
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Membrane interaction of cyanobacterial and chloroplast ESCRT-III proteins. [PDF]
Plant JSUMMARY More than three decades ago, the inner membrane‐associated protein of 30 kDa (IM30), also known as Vipp1, was identified in pea chloroplasts to bind to the chloroplast inner envelope membrane. IM30/Vipp1 is a membrane‐associated and soluble stromal protein and is proposed to mediate vesicle formation.
Kutzner M +4 more
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Nonlinear behavior and energy harvesting performance of a new tunable quasi-zero stiffness system [PDF]
Scientific ReportsEnergy harvesting from vibrations is a popular research topic. However, it is difficult to change the values of its dynamic stiffness characteristics during the operation of device.
Xinzong Wang, Xiaofang Kang, Ao Zhang
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Athens Journal of Architecture, 2023 The research focuses on the application of the elements of the theory of linear urbanism to the current solution for the rural settlements, from which life is lost and they are becoming open-air museums.
Nikoleta Slováková
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Mathematics, 2023 Systems composed of piecewise smooth differential (PSD) mappings have quantitatively been searched for answers to a substantial issue of limit cycle (LC) bifurcations. In this paper, LC numbers (LCNs) of a PSD system (PSDS) consisting of four regions are
Erli Zhang, Jihua Yang, Stanford Shateyi
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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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Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators
Fractal and Fractional, 2022 The investigation of global bifurcation behaviors the vibrating structures of micro-electromechanical systems (MEMS) has received substantial attention. This paper considers the vibrating system of a typical bilateral MEMS resonator containing fractional
Yijun Zhu, Huilin Shang
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Determinant grammar of the Russian language as an academic grammar of a new type
Russian Language Studies, 2023 The relevance of the research is caused by the need to find a method that provides a complete and systematic presentation of Russian grammar. The aim of the study is to discuss the prospects for creating a grammar that will clarify the reasons for the ...
Olga I. Valentinova +2 more
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The Number of Limit Cycles Bifurcating from an Elementary Centre of Hamiltonian Differential Systems
Mathematics, 2022 This paper studies the number of small limit cycles produced around an elementary center for Hamiltonian differential systems with the elliptic Hamiltonian function H=12y2+12x2−23x3+a4x4(a≠0) under two types of polynomial perturbations of degree m ...
Lijun Wei, Yun Tian, Yancong Xu
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