Results 41 to 50 of about 10,996,377 (201)
Electronic Journal of Qualitative Theory of Differential EquationsThis addendum presents a relevant stronger consequence of the main theorem of the paper “Higher order stroboscopic averaged functions: a general relationship with Melnikov functions”, Electron. J. Qual. Theory Differ. Equ. 2021, No. 77.
Douglas Novaes
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On the Number of Limit Cycles of a Piecewise Quadratic Near-Hamiltonian System
Abstract and Applied Analysis, 2014 This paper is concerned with the problem for the maximal number of limit cycles for a quadratic piecewise near-Hamiltonian system. By using the method of the first order Melnikov function, we find that it can have 8 limit cycles.
Jing Tian
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Global Dynamics of the Vibrating System of a Tristable Piezoelectric Energy Harvester
Mathematics, 2022 Global dynamics of a piezoelectric energy harvester with tristable potential is investigated. The dynamical model of a cantilever beam energy harvester is considered; its static bifurcation is also discussed.
Yijun Zhu, Huilin Shang
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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
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Temperature elevation broadens the dietary niche of an insect herbivore
Ecological Entomology, EarlyView.The realised dietary niche in Chrysomela lapponica was the narrowest at 10°C, whereas higher temperatures (15–25°C) broadened the dietary niche by increasing preference for and survival on suboptimal host plants. Elevated temperature broadened the realised dietary niche through both direct effects on beetles and indirect effects mediated by temperature‐
Elena L. Zvereva +2 more
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Poincaré - Melnikov - Arnold method for analytic planar maps [PDF]
Nonlinearity, 1996 The Poincare-Melnikov-Arnold method for planar maps gives rise to a Melnikov function defined by an infinite and (a priori) analytically uncomputable sum. Under an assumption of meromorphicity, residues theory can be applied to provide an equivalent finite sum. Moreover, the Melnikov function turns out to be an elliptic function and a general criterion
Delshams Valdés, Amadeu +1 more
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Journal of Integrative Plant Biology, EarlyView.This review decodes the grammar of plant cis‐regulatory elements, revealing that their function emerges from sequence, chromatin accessibility, 3D topology, and cell type context. It highlights how single‐cell omics, CRISPR dissection, and AI‐driven design converge to enable predictive engineering and crop improvement. ABSTRACT Cis‐regulatory elements (
Libin Zhang, Maoteng Li
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Homoclinic chaos and the Poincaré-Melnikov method [PDF]
, 2016 In this thesis is to describe the use of the Poincaré-Melnikov method in the detection of homoclinic phenomena, and hence chaotic dynamics. After a short review of the theory of dynamical system, it is introduced the Poincaré-Melnikov method and its ...
Azzari, Paride
core
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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Journal of Applied Mathematics, 2014 The erosion of the safe basins and chaotic motions of a nonlinear vibroimpact oscillator under both harmonic and bounded random noise is studied. Using the Melnikov method, the system’s Melnikov integral is computed and the parametric threshold for ...
Rong Haiwu +4 more
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