Rigid centres on the center manifold of tridimensional differential systems
DOI10.1017/prm.2021.46zbMath1505.34048OpenAlexW3196790007MaRDI QIDQ5094467
Claudio Pessoa, Adam Mahdi, Jarne D. Ribeiro
Publication date: 3 August 2022
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/prm.2021.46
Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05) Invariant manifolds for ordinary differential equations (34C45) Integrable cases of motion in rigid body dynamics (70E40)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- The center problem on a center manifold in \(\mathbb{R}^{3}\)
- The center-focus problem and small amplitude limit cycles in rigid systems
- Existence of inverse Jacobi multipliers around Hopf points in \(\mathbb R^3\): emphasis on the center problem
- Isochronicity and normal forms of polynomial systems of ODEs
- Center conditions for a class of planar rigid polynomial differential systems
- Center problem in the center manifold for quadratic differential systems in \(\mathbb{R}^3\)
- A hybrid symbolic-numerical approach to the center-focus problem
- A survey on the inverse integrating factor
- An approach to solving systems of polynomials via modular arithmetics with applications
- Centers on center manifolds in the Lü system
- Local theory of nonlinear analytic ordinary differential equations
- Conditions for a centre in a simple class of cubic systems
- Period function for perturbed isochronous centres.
- The generalized polynomial Moon-Rand system
- Limit cycles for rigid cubic systems
- Cyclicity of polynomial nondegenerate centers on center manifolds
- Computing center conditions for vector fields with constant angular speed
- Algebraic conditions for a centre or a focus in some simple systems of arbitrary degree
- Stability and periodic oscillations in the Moon-Rand systems
- Centers for trigonometric Abel equations
- Center cyclicity of Lorenz, Chen and Lü systems
- Properties of monodromic points on center manifolds in \(\mathbb R^3\) via Lie symmetries
- Qualitative theory of planar differential systems
- CENTER PROBLEM FOR THIRD-ORDER ODEs
- The Center and Cyclicity Problems
- Differentiable functions
- Invariant algebraic curves and conditions for a centre
- Exact number of limit cycles for a family of rigid systems
- SINGULAR
- Linearizability of linear systems perturbed by fifth degree homogeneous polynomials
This page was built for publication: Rigid centres on the center manifold of tridimensional differential systems