Vortex interactions subjected to deformation flows: A review

KV Koshel, EA Ryzhov, XJ Carton - Fluids, 2019 - mdpi.com
Deformation flows are the flows incorporating shear, strain and rotational components.
These flows are ubiquitous in the geophysical flows, such as the ocean and atmosphere …

[HTML][HTML] Twist periodic solutions for differential equations with a combined attractive–repulsive singularity

J Chu, PJ Torres, F Wang - Journal of Mathematical Analysis and …, 2016 - Elsevier
We study the existence of twist periodic solutions of second order differential equations with
an attractive–repulsive singularity. Such twist periodic solutions are stable in the sense of …

Periodic solutions for Liénard equation with an indefinite singularity

S Lu, Y Guo, L Chen - Nonlinear Analysis: Real World Applications, 2019 - Elsevier
In this paper, the problem of periodic solutions is studied for Liénard equations with
anindefinite singularity x′′(t)+ f (x (t)) x′(t)+ φ (t) xm (t)− α (t) x μ (t)= 0, where f:(0,+∞)→ R …

Recent Advances on Periodic Motions in Parallel-Plate Electrostatic Actuators

A Rivera, JA Arredondo - Topological Methods for Delay and Ordinary …, 2024 - Springer
This review shows some recent results on the existence, multiplicity, and stability of periodic
solutions for a large class of micro-electro-mechanical parallel plate actuators, for which the …

Periodic solutions for second order differential equations with indefinite singularities

S Lu, X Yu - Advances in Nonlinear Analysis, 2019 - degruyter.com
In this paper, the problem of periodic solutions is studied for second order differential
equations with indefinite singularities x ″(t)+ f (x (t)) x′(t)+ φ (t) xm (t)− α (t) x μ (t)+ β (t) xy …

Bifurcation and dynamics of periodic solutions to the Rayleigh–Plesset equation: Theory and numerical simulation

X Yu, Q Yuan, Z Cheng - Physica D: Nonlinear Phenomena, 2024 - Elsevier
In this paper, we study the oscillation of a gas-filled spherical bubble immersed in an infinite
domain of incompressible liquid under the influence of a time-periodic acoustic field. The …

Damped superlinear Duffing equation with strong singularity of repulsive type

Z Cheng, Q Yuan - Journal of Fixed Point Theory and Applications, 2020 - Springer
A damped Duffing equation with a singularity is considered in this paper, where the elastic
restoring force g has a singularity at origin and satisfies superlinear condition at infinity. By …

A multiplicity result for periodic solutions of Liénard equations with an attractive singularity

X Yu, S Lu - Applied Mathematics and Computation, 2019 - Elsevier
A periodic problem of Ambrosetti–Prodi type is studied in this paper for the Liénard equation
with a singularity of attractive type x ″+ f (x) x′+ φ (t) x m+ r (t) x μ= s, where f:(0,+∞)→ R is …

[图书][B] Nonlinear higher order differential and integral coupled systems: Impulsive and integral equations on bounded and unbounded domains

FM Minhós, R De Sousa - 2022 - World Scientific
Nonlinear Higher Order Differential and Integral Coupled Systems: Third-order three point
systems with dependence on the first d Page 1 Chapter 1 Third-order three point systems with …

Periodic and quasi-periodic solutions of a four-dimensional singular differential system describing the motion of vortices

Z Liang, S Li, X Li - Advances in Nonlinear Analysis, 2023 - degruyter.com
In this article, we consider a four-dimensional singular differential system that can describe
the dynamics of configurations bearing a small number of vortices in atomic Bose-Einstein …