A general averaging method for affine periodic solutions
From MaRDI portal
Publication:6623057
DOI10.1007/s10473-024-0609-xMaRDI QIDQ6623057
Jiamin Xing, Yong Li, Xue Yang
Publication date: 23 October 2024
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Cites Work
- Unnamed Item
- Improving the averaging theory for computing periodic solutions of the differential equations
- Rotating periodic solutions of second order dissipative dynamical systems
- Existence of rotating-periodic solutions for nonlinear systems via upper and lower solutions
- Bifurcations from nondegenerate families of periodic solutions in Lipschitz systems
- Bifurcation methods of periodic orbits for piecewise smooth systems
- Euler's fixed point theorem: The axis of a rotation
- Averaging methods for finding periodic orbits via Brouwer degree.
- Rotating periodic solutions for convex Hamiltonian systems
- Upper estimates for the number of periodic solutions to multi-dimensional systems
- Affine-periodic solutions by averaging methods
- Rotating periodic solutions for super-linear second order Hamiltonian systems
- Affine-periodic solutions for dissipative systems
- Existence and multiplicity of rotating periodic solutions for resonant Hamiltonian systems
- Limit cycle bifurcations of a planar near-integrable system with two small parameters
- The mechanism of rotating waves in a ring of unidirectionally coupled Lorenz systems
- Rotating-symmetric solutions for nonlinear systems with symmetry
- Affine-periodic solutions for nonlinear differential equations
- Infinitely many rotating periodic solutions for second-order Hamiltonian systems
- Existence of affine-periodic solutions to Newton affine-periodic systems
- Averaging methods of arbitrary order, periodic solutions and integrability
- Affine-periodic solutions by asymptotic method
- Rotating periodic solutions for asymptotically linear second-order Hamiltonian systems with resonance at infinity
- Hamilton-Jacobi on the symplectic group
- Higher Order Analysis on the Existence of Periodic Solutions in Continuous Differential Equations via Degree Theory
- Differential Topology
- The Set of All m × n Rectangular Real Matrices of Rank r is Connected by Analytic Regular Arcs
- AFFINE-PERIODIC SOLUTIONS AND PSEUDO AFFINE-PERIODIC SOLUTIONS FOR DIFFERENTIAL EQUATIONS WITH EXPONENTIAL DICHOTOMY AND EXPONENTIAL TRICHOTOMY
- Levinson’s Problem on Affine-Periodic Solutions
- Persistence of periodic solutions for higher order perturbed differential systems via Lyapunov–Schmidt reduction
- Higher order averaging theory for finding periodic solutions via Brouwer degree
- Averaging methods in nonlinear dynamical systems
- On the continuation of periodic orbits
- Lyapunov center theorem on rotating periodic orbits for Hamiltonian systems
This page was built for publication: A general averaging method for affine periodic solutions