A version of Hilbert's 16th Problem for 3D polynomial vector fields: Counting isolated invariant tori
Fuente:
arXiv
Saved in:
| Main Authors: | Novaes, Douglas D., Pereira, Pedro C. C. R. |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Strict increase in the number of normally hyperbolic limit tori in 3D polynomial vector fields
by: Arakaki, Lucas Queiroz, et al.
Published: (2025)
by: Arakaki, Lucas Queiroz, et al.
Published: (2025)
Normally hyperbolic limit tori near monodromic singularities in 3D polynomial vector fields
by: Arakaki, Lucas Queiroz, et al.
Published: (2025)
by: Arakaki, Lucas Queiroz, et al.
Published: (2025)
Detecting Limit Tori in Non-Smooth Systems: An Analytic Approach with Applications to 3D Piecewise Linear Systems
by: Cândido, Murilo R., et al.
Published: (2026)
by: Cândido, Murilo R., et al.
Published: (2026)
Normal Hyperbolicity in Secondary Hopf Bifurcations
by: Pereira, Pedro C. C. R., et al.
Published: (2025)
by: Pereira, Pedro C. C. R., et al.
Published: (2025)
A note on a recent attempt to solve the second part of Hilbert's 16th Problem
by: Buzzi, Claudio A., et al.
Published: (2024)
by: Buzzi, Claudio A., et al.
Published: (2024)
Invariant tori and boundedness of solutions of non-smooth oscillators with Lebesgue integrable forcing term
by: Novaes, Douglas D., et al.
Published: (2023)
by: Novaes, Douglas D., et al.
Published: (2023)
Dynamics and integrability of polynomial vector fields on the $n$-dimensional sphere
by: Jana, Supriyo, et al.
Published: (2024)
by: Jana, Supriyo, et al.
Published: (2024)
Weak-Coppel problem for a class of Riccati differential equations
by: Gasull, Armengol, et al.
Published: (2025)
by: Gasull, Armengol, et al.
Published: (2025)
Characterization and dynamics of certain classes of polynomial vector fields on the torus
by: Jana, Supriyo
Published: (2024)
by: Jana, Supriyo
Published: (2024)
Stability and cyclicity of polycycles in non-smooth planar vector fields
by: Santana, Paulo
Published: (2021)
by: Santana, Paulo
Published: (2021)
A coordinate-independent Pontryagin-Rodygin theorem for slow-fast averaging
by: Rink, Bob, et al.
Published: (2025)
by: Rink, Bob, et al.
Published: (2025)
Some questions concerning attractors for non-autonomous dynamical systems
by: Johnson, Russell, et al.
Published: (2024)
by: Johnson, Russell, et al.
Published: (2024)
Piecewise Smooth Dynamical Systems Regularized by Convolution
by: Buzzi, Claudio A., et al.
Published: (2026)
by: Buzzi, Claudio A., et al.
Published: (2026)
Invariant Tori and Periodic Orbits in the FitzHugh-Nagumo System
by: Cândido, Murilo R., et al.
Published: (2024)
by: Cândido, Murilo R., et al.
Published: (2024)
Addendum to Higher order stroboscopic averaged functions: a general relationship with Melnikov functions
by: Novaes, Douglas D.
Published: (2024)
by: Novaes, Douglas D.
Published: (2024)
Unbounded dynamics for vector fields
by: Igra, Eran
Published: (2025)
by: Igra, Eran
Published: (2025)
Darboux first integrals of Kolmogorov systems with invariant $n$-sphere
by: Jana, Supriyo, et al.
Published: (2026)
by: Jana, Supriyo, et al.
Published: (2026)
Global center of polynomial Newton system and its non-isochronicity
by: Christopher, Colin, et al.
Published: (2026)
by: Christopher, Colin, et al.
Published: (2026)
Growth estimate for the number of crossing limit cycles in planar piecewise polynomial vector fields
by: Ascoli, Luana, et al.
Published: (2026)
by: Ascoli, Luana, et al.
Published: (2026)
Darboux theory of integrability for real polynomial vector fields on the $n-$dimensional ellipsoid
by: Llibre, J., et al.
Published: (2024)
by: Llibre, J., et al.
Published: (2024)
Center Conditions and Cyclicity for Generic Planar Polynomial Vector Fields
by: Villanueva, Yovani, et al.
Published: (2026)
by: Villanueva, Yovani, et al.
Published: (2026)
Heteroclinic networks in coupled cell systems
by: Garrido-da-Silva, Liliana, et al.
Published: (2026)
by: Garrido-da-Silva, Liliana, et al.
Published: (2026)
Dynamics of polynomial generalized Liénard system near the origin and infinity
by: Zhang, Jun
Published: (2025)
by: Zhang, Jun
Published: (2025)
Invariant circles and phase portraits of cubic vector fields on the sphere
by: Benny, Joji, et al.
Published: (2023)
by: Benny, Joji, et al.
Published: (2023)
Determining codimension of Bogdanov-Takens and Bautin bifurcations via simplest normal form computation
by: Yu, Pei, et al.
Published: (2025)
by: Yu, Pei, et al.
Published: (2025)
Bifurcations and canards in the FitzHugh-Nagumo system: a tutorial in fast-slow dynamics
by: Gonçalves, Bruno F. F., et al.
Published: (2024)
by: Gonçalves, Bruno F. F., et al.
Published: (2024)
On convergence of normal form transformations
by: Romanovski, Valery G., et al.
Published: (2025)
by: Romanovski, Valery G., et al.
Published: (2025)
A cocktail of chemical reaction networks and mathematical epidemiology tools for positive ODE stability problems
by: Avram, Florin, et al.
Published: (2026)
by: Avram, Florin, et al.
Published: (2026)
Relay transitions and invasion thresholds in multi-strain rumor models: a chemical reaction network approach
by: Avram, Florin, et al.
Published: (2026)
by: Avram, Florin, et al.
Published: (2026)
A conceptual framework for modeling a latching mechanism for cell cycle regulation
by: Gandhi, Punit, et al.
Published: (2024)
by: Gandhi, Punit, et al.
Published: (2024)
Analytic weak-stable manifolds in unfoldings of saddle-nodes
by: Kristiansen, Kristian Uldall, et al.
Published: (2024)
by: Kristiansen, Kristian Uldall, et al.
Published: (2024)
Transitions to Intermittent Chaos in Quorum Sensing Dynamics
by: Flores--Pérez, A., et al.
Published: (2025)
by: Flores--Pérez, A., et al.
Published: (2025)
Unveiling the Cyclicity of Monodromic Tangential Singularities: Insights Beyond the Pseudo-Hopf Bifurcation
by: Novaes, Douglas D., et al.
Published: (2023)
by: Novaes, Douglas D., et al.
Published: (2023)
Resonances in nonlinear systems with a decaying chirped-frequency excitation and noise
by: Sultanov, Oskar A.
Published: (2024)
by: Sultanov, Oskar A.
Published: (2024)
Nonlinear resonance in systems with decaying perturbations and noise
by: Sultanov, Oskar A.
Published: (2025)
by: Sultanov, Oskar A.
Published: (2025)
On the Hausdorff dimension and Cantor set structure of sliding Shilnikov invariant sets
by: Cunha, Matheus G. C., et al.
Published: (2023)
by: Cunha, Matheus G. C., et al.
Published: (2023)
Bifurcations and stability of synchronized solutions in the Kuramoto model with uniformly spaced natural frequencies
by: Yagasaki, Kazuyuki
Published: (2025)
by: Yagasaki, Kazuyuki
Published: (2025)
Bifurcations of synchronized solutions in a continuum limit of the Kuramoto model with two-mode interaction depending on two graphs
by: Yagasaki, Kazuyuki
Published: (2025)
by: Yagasaki, Kazuyuki
Published: (2025)
Bifurcations of twisted solutions in a continuum limit for the Kuramoto model on nearest neighbor graphs
by: Yagasaki, Kazuyuki
Published: (2025)
by: Yagasaki, Kazuyuki
Published: (2025)
Bifurcation in dynamic problems with seasonal succession
by: Galiano, Gonzalo, et al.
Published: (2025)
by: Galiano, Gonzalo, et al.
Published: (2025)
Similar Items
-
Strict increase in the number of normally hyperbolic limit tori in 3D polynomial vector fields
by: Arakaki, Lucas Queiroz, et al.
Published: (2025) -
Normally hyperbolic limit tori near monodromic singularities in 3D polynomial vector fields
by: Arakaki, Lucas Queiroz, et al.
Published: (2025) -
Detecting Limit Tori in Non-Smooth Systems: An Analytic Approach with Applications to 3D Piecewise Linear Systems
by: Cândido, Murilo R., et al.
Published: (2026) -
Normal Hyperbolicity in Secondary Hopf Bifurcations
by: Pereira, Pedro C. C. R., et al.
Published: (2025) -
A note on a recent attempt to solve the second part of Hilbert's 16th Problem
by: Buzzi, Claudio A., et al.
Published: (2024)