Monotonicity and asymptotic analysis of the period function of nearly parallel vortex filaments model

DOI10.1016/j.aml.2023.108717zbMath1528.37054MaRDI QIDQ6112146

Lin Lu, Aiyong Chen, Xiao-Kai He

Publication date: 7 July 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

monotonicityperiodic waveperiod functionvortex filament

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Cites Work

• Existence of solitary waves and periodic waves for a perturbed generalized BBM equation
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• The monotonicity and critical periods of periodic waves of the \(\varphi^{6}\) field model
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• Periodic solutions with equal period for the Friedmann-Robertson-Walker model
• Periodic traveling waves in a generalized BBM equation with weak backward diffusion and dissipation terms
• The cyclicity of the period annulus of a class of quadratic reversible system
• Reachability of maximal number of critical periods without independence
• Monotonicity of limit wave speed of traveling wave solutions for a perturbed generalized KdV equation
• Limit periodic travelling wave solution of a model for biological invasions
• On the interaction of nearly parallel vortex filaments
• Rapidly rotating turbulent Rayleigh-Bénard convection
• Equilibrium statistical theory for nearly parallel vortex filaments
• Simplified equations for the interaction of nearly parallel vortex filaments
• Dynamics of nearly parallel interacting vortex filaments
• The period function of hyperelliptic Hamiltonians of degree 5 with real critical points
• Explicit mean-field radius for nearly parallel vortex filaments in statistical equilibrium with applications to deep ocean convection

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