Results 21 to 30 of about 774 (145)
Bifurcations of a Homoclinic Orbit to Saddle-Center in Reversible Systems
Abstract and Applied Analysis, 2012 The bifurcations near a primary homoclinic orbit to a saddle-center are investigated in a 4-dimensional reversible system. By establishing a new kind of local moving frame along the primary homoclinic orbit and using the Melnikov functions, the existence
Zhiqin Qiao, Yancong Xu
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Limit Cycle Bifurcations by Perturbing a Compound Loop with a Cusp and a Nilpotent Saddle
Abstract and Applied Analysis, 2014 We study the expansions of the first order Melnikov functions for general near-Hamiltonian systems near a compound loop with a cusp and a nilpotent saddle.
Huanhuan Tian, Maoan Han
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Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle of order 2
上海师范大学学报. 自然科学版, 2018 Determining the number of limit cycles of a planar differential system is related to the second part of Hilbert's 16th problem. In this paper, a near-Hamiltonian system is studied, where the unperturbed system has a double homoclinic loop with second ...
Tian Huanhuan
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MathematicsMany authors analyze the chaotic motion of the driven and damped double sine-Gordon equations and compute the Melnikov functions by numerical methods, taking an example to verify good agreement between numerical methods and analytical ones. Unfortunately,
Nikolay Kyurkchiev +2 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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ریاضی و جامعه, 2023 In this article, we have tried to introduce one of the most important topics in the subject of dynamical systems, namely the Melnikov function, in simple language. Melnikov function is one of the tools that can express the effect of the small perturbation on the homoclinic orbits.
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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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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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MathematicsWe suggest a few kinds of extended classical oscillators in this study. We present a few specific modules for examining these oscillators’ behavior. This will be an essential component of a broader web-based scientific computing platform that is in the ...
Nikolay Kyurkchiev +4 more
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