Cover Image

Poincaré-Hopf Theorem for Filippov vector fields on 2-dimensional compact manifolds

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Casimiro, Joyce A., Martins, Ricardo M., Novaes, Douglas D.
Format:	Preprint
Published:	2023
Subjects:	Dynamical Systems Differential Geometry 34A36, 37C25, 55M25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Boundary Hopf bifurcations in three-dimensional Filippov systems
by: Simpson, David J. W.
Published: (2026)

Growth estimate for the number of crossing limit cycles in planar piecewise polynomial vector fields
by: Ascoli, Luana, et al.
Published: (2026)

The Hopf-Rinow theorem and the Mañé critical value for magnetic geodesics on odd-dimensional spheres
by: Albers, Peter, et al.
Published: (2025)

A Melnikov analysis on a family of second order discontinuous differential equations
by: Novaes, Douglas D., et al.
Published: (2023)

Four closed characteristics on compact star-shaped hypersurfaces in $\mathbb{R}^{8}$
by: Duan, Huagui, et al.
Published: (2024)

Bounding the number of limit cycles in piecewise linear differential systems: methodology and worked examples
by: Carmona, Victoriano, 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)

Limit cycles bifurcating from periodic integral manifold in non-smooth differential systems
by: Cespedes, Oscar A. R., et al.
Published: (2024)

Max-min energy of pseudoholomorphic curves and periodic Reeb flows in dimension $3$
by: Fernandes, Rafael, et al.
Published: (2025)

Anosov vector fields and Fried sections
by: Bismut, Jean-Michel, et al.
Published: (2024)

Non-isochronicity on piecewise Hamiltonian differential systems with homogeneous nonlinearities
by: Chen, Xiaoyi, et al.
Published: (2024)

Rate-induced tracking for concave or d-concave transitions in a time-dependent environment with application in ecology
by: Dueñas, Jesús, et al.
Published: (2023)

Exponential mixing and essential spectral gaps for Anosov subgroups
by: Chow, Michael, et al.
Published: (2024)

Global dynamics of three-dimensional Lotka-Volterra competition models with seasonal succession: II. Uniqueness of positive fixed points
by: Niu, Lei, et al.
Published: (2025)

Sliding mode on tangential sets of Filippov systems
by: Carvalho, Tiago, et al.
Published: (2021)

Trajectories of vector fields asymptotic to formal invariant curves
by: Gal, Olivier Le, et al.
Published: (2023)

Amerio's Theorem for Remotely Almost Periodic Differential Equations
by: Cheban, David
Published: (2026)

Generalized Pseudo-Hopf Bifurcation: Limit Cycle Position and Period
by: Arakaki, Lucas Queiroz, et al.
Published: (2025)

The generalized Lefschetz number and loop braid groups
by: Makri, Stavroula
Published: (2026)

A new construction for Melnikov chaos in piecewise-smooth planar systems
by: Calamai, Alessandro, et al.
Published: (2025)

Regularized determinant formulas for the zeta functions of 3-dimensional Riemannian foliated dynamical systems
by: López, Jesús A. Álvarez, et al.
Published: (2024)

Approximating normally attracting invariant manifolds using trajectory-based optimization
by: Dietrich, Jörn, et al.
Published: (2022)

A Poincaré-Hopf theorem for n-valued vector fields
by: Crabb, M. C.
Published: (2025)

An improved approach for estimating the dimension of inertial manifolds in chaotic distributed dynamical systems via analysis of angles between tangent subspaces
by: Kuptsov, Pavel V.
Published: (2025)

Strong Fast Invertibility and Lyapunov Exponents for Linear Systems
by: Noethen, Florian
Published: (2021)

Resurgence of Tritronquées Solutions of the Deformed Painlevé I Equation
by: Alameddine, Mohamad, et al.
Published: (2025)

Identifiability of linear compartmental tree models and a general formula for input-output equations
by: Bortner, Cashous, et al.
Published: (2021)

Exponential mixing of frame flows for convex cocompact hyperbolic manifolds
by: Sarkar, Pratyush, et al.
Published: (2020)

Discrete $μ$-dichotomy spectrum: beyond uniformity and new insights
by: Castañeda, Álvaro, et al.
Published: (2025)

Space of initial conditions for the four-dimensional Garnier system revisited
by: Takenawa, Tomoyuki
Published: (2024)

Periodic solutions in a tumor-immune competition system with time-delay and chemotherapy effects
by: Amster, Pablo, et al.
Published: (2025)

Homoclinics for geodesic flows of surfaces
by: Contreras, Gonzalo, et al.
Published: (2022)

Homoclinic classes of geodesic flows on rank 1 manifolds
by: Lima, Yuri, et al.
Published: (2024)

A note on compact homogeneous manifolds with Bismut parallel torsion
by: Podestà, Fabio, et al.
Published: (2023)

Length spectrum rigidity and flexibility of spheres of revolution with one equator
by: Abbondandolo, Alberto, et al.
Published: (2026)

Structure of Kähler foliations with negative transverse Ricci curvature
by: Claudon, Benoît, et al.
Published: (2023)

Homological data on the periodic structure of self-maps on wedge sums
by: González, Marcos J., et al.
Published: (2025)

On the periodic structure of $C^1$ self-maps on the product of spheres of different dimensions
by: Sirvent, Victor F.
Published: (2023)

The stability of boundary equilibria of three-dimensional Filippov systems
by: Simpson, David J. W.
Published: (2026)

On the ergodicity of the frame flow on even-dimensional manifolds
by: Cekić, Mihajlo, et al.
Published: (2021)