Upper estimates for the number of periodic solutions to multi-dimensional systems
From MaRDI portal
Publication:1733229
DOI10.1016/j.jde.2018.12.034zbMath1459.34103OpenAlexW2909348610WikidataQ128620663 ScholiaQ128620663MaRDI QIDQ1733229
Zalman Balanov, Hao Sun, Mao'an Han
Publication date: 21 March 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2018.12.034
Periodic solutions to ordinary differential equations (34C25) Averaging method for ordinary differential equations (34C29) Nonautonomous smooth dynamical systems (37C60)
Related Items
Bifurcation methods of periodic orbits for piecewise smooth systems ⋮ The number of limit cycles for some polynomial systems with multiple parameters ⋮ Bifurcation from Periodic Orbits of n-Dimensional Piecewise Smooth Differential Systems with Two Switching Planes ⋮ Limit Cycles of a Perturbation of a Polynomial Hamiltonian Systems of Degree 4 Symmetric with Respect to the Origin ⋮ On the maximum number of limit cycles for a piecewise smooth differential system ⋮ Unnamed Item ⋮ Limit Cycles from Perturbing a Piecewise Smooth System with a Center and a Homoclinic Loop ⋮ Limit cycle bifurcations from a quadratic center with two switching lines ⋮ Picard–Fuchs Equation Applied to Quadratic Isochronous Systems with Two Switching Lines ⋮ Melnikov functions of arbitrary order for piecewise smooth differential systems in \(\mathbb{R}^n\) and applications ⋮ Limit Cycles of a Kind of Nonsmooth Differential Systems with Two Switching Lines ⋮ Bifurcation of periodic orbits of periodic equations with multiple parameters by averaging method ⋮ GLOBAL DYNAMICS OF A FILIPPOV PLANT DISEASE MODEL WITH AN ECONOMIC THRESHOLD OF INFECTED-SUSCEPTIBLE RATIO ⋮ Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An algebraic formula for the degree of a \(C^\infty\) map germ. Sur une inegalite a la Minkowski pour les multiplicites
- Averaging methods for finding periodic orbits via Brouwer degree.
- Bifurcation theory for finitely smooth planar autonomous differential systems
- Bifurcation of periodic orbits by perturbing high-dimensional piecewise smooth integrable systems
- Averaging methods of arbitrary order, periodic solutions and integrability
- Remarks on Generalising Rouché's Theorem
- Bifurcation Theory and Methods of Dynamical Systems
- ON THE MAXIMUM NUMBER OF PERIODIC SOLUTIONS OF PIECEWISE SMOOTH PERIODIC EQUATIONS BY AVERAGE METHOD
- Higher order averaging theory for finding periodic solutions via Brouwer degree
- Averaging methods in nonlinear dynamical systems
