On the 16th Hilbert problem for discontinuous piecewise polynomial Hamiltonian systems
DOI10.1007/s10884-021-09967-3OpenAlexW3134743089WikidataQ115383243 ScholiaQ115383243MaRDI QIDQ6095757
Publication date: 8 September 2023
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://ddd.uab.cat/record/239767
limit cyclesaveraging methodHilbert's 16th problemdiscontinuous piecewise polynomial Hamiltonian systems
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Averaging method for ordinary differential equations (34C29) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Piecewise linear perturbations of a linear center
- On the number of limit cycles in general planar piecewise linear systems
- Lower bounds for the Hilbert number of polynomial systems
- Lower bounds for the local cyclicity for families of centers
- On Hopf bifurcation in non-smooth planar systems
- Bifurcations of limit cycles in a \(Z_{4}\)-equivariant quintic planar vector field
- A cubic system with thirteen limit cycles
- Averaging methods for finding periodic orbits via Brouwer degree.
- Bifurcation analysis on a class of \(Z_{2}\)-equivariant cubic switching systems showing eighteen limit cycles
- Limit cycles via higher order perturbations for some piecewise differential systems
- A new result on averaging theory for a class of discontinuous planar differential systems with applications
- New lower bound for the Hilbert number in piecewise quadratic differential systems
- Averaging theory of arbitrary order for piecewise smooth differential systems and its application
- Global dynamics of a mechanical system with dry friction
- 24 crossing limit cycles in only one nest for piecewise cubic systems
- Lower bounds for the local cyclicity of centers using high order developments and parallelization
- A Filippov system describing media effects on the spread of infectious diseases
- Averaging theory for discontinuous piecewise differential systems
- A general mechanism to generate three limit cycles in planar Filippov systems with two zones
- Piecewise-smooth dynamical systems. Theory and applications
- Averaging approach to cyclicity of Hopf bifurcation in planar linear-quadratic polynomial discontinuous differential systems
- Bifurcation of limit cycles in a quintic Hamiltonian system under a sixth-order perturbation
- Limit cycles of discontinuous piecewise quadratic and cubic polynomial perturbations of a linear center
- Sliding Bifurcations of Filippov Two Stage Pest Control Models with Economic Thresholds
- Limit Cycles Bifurcating from the Periodic Orbits of a Discontinuous Piecewise Linear Differentiable Center with Two Zones
- BIFURCATION OF LIMIT CYCLES IN A FOURTH-ORDER NEAR-HAMILTONIAN SYSTEM
- Mathematical problems
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
- One-Parameter Bifurcations in Planar Filippov Systems
- Polynomial systems: a lower bound for the Hilbert numbers
This page was built for publication: On the 16th Hilbert problem for discontinuous piecewise polynomial Hamiltonian systems