Determining codimension of Bogdanov-Takens and Bautin bifurcations via simplest normal form computation
Fuente:
arXiv
Saved in:
| Main Authors: | Yu, Pei, Zeng, Yanni, Han, Maoan |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
An efficient solution procedure for solving higher-codimension Hopf and Bogdanov-Takens bifurcations
by: Zeng, Bing, et al.
Published: (2022)
by: Zeng, Bing, et al.
Published: (2022)
Bi-center conditions and bifurcation of limit cycles in a class of $Z_2$-equivariant cubic switching systems with two nilpotent points
by: Chen, Ting, et al.
Published: (2024)
by: Chen, Ting, 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)
Center Conditions and Cyclicity for Generic Planar Polynomial Vector Fields
by: Villanueva, Yovani, et al.
Published: (2026)
by: Villanueva, Yovani, et al.
Published: (2026)
Multicycle dynamics and high-codimension bifurcations in SIRS epidemic models with cubic psychological saturated incidence
by: Wang, Henan, et al.
Published: (2025)
by: Wang, Henan, 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)
Piecewise Smooth Dynamical Systems Regularized by Convolution
by: Buzzi, Claudio A., et al.
Published: (2026)
by: Buzzi, Claudio A., et al.
Published: (2026)
Hopf and Bautin bifurcations in a 3D model for pest leafhopper with stage structure and generalist predatory mite
by: Ramírez, Martha Alvarez, et al.
Published: (2024)
by: Ramírez, Martha Alvarez, et al.
Published: (2024)
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)
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)
A version of Hilbert's 16th Problem for 3D polynomial vector fields: Counting isolated invariant tori
by: Novaes, Douglas D., et al.
Published: (2022)
by: Novaes, Douglas D., et al.
Published: (2022)
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)
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)
Global center of polynomial Newton system and its non-isochronicity
by: Christopher, Colin, et al.
Published: (2026)
by: Christopher, Colin, et al.
Published: (2026)
Analytic conjugation between planar differential systems and potential systems
by: Nascimento, F. J. S.
Published: (2024)
by: Nascimento, F. J. S.
Published: (2024)
On convergence of normal form transformations
by: Romanovski, Valery G., et al.
Published: (2025)
by: Romanovski, Valery G., et al.
Published: (2025)
Steady-state bifurcations for three-cell networks with asymmetric inputs
by: Aguiar, Manuela, et al.
Published: (2020)
by: Aguiar, Manuela, et al.
Published: (2020)
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)
A proof of the uniqueness of the limit cycle of a quasi-homogeneous system
by: Zhuang, Ziwei, et al.
Published: (2022)
by: Zhuang, Ziwei, et al.
Published: (2022)
Dynamics of polynomial generalized Liénard system near the origin and infinity
by: Zhang, Jun
Published: (2025)
by: Zhang, Jun
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)
Bifurcation in dynamic problems with seasonal succession
by: Galiano, Gonzalo, et al.
Published: (2025)
by: Galiano, Gonzalo, et al.
Published: (2025)
Evans function, parity and nonautonomous bifurcations
by: Pötzsche, Christian, et al.
Published: (2025)
by: Pötzsche, Christian, et al.
Published: (2025)
Example of simplest bifurcation diagram for a monotone family of vector fields on a torus
by: Baesens, Claude, et al.
Published: (2022)
by: Baesens, Claude, et al.
Published: (2022)
Designing learning in high dimensional oscillator networks with low dimensional read-out
by: de Jong, Thomas Geert
Published: (2025)
by: de Jong, Thomas Geert
Published: (2025)
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)
Local bifurcations in a class of piecewise-smooth Filippov systems with a nonregular switching curve via a nonlinear double regularization process
by: Buzzi, Claudio A., et al.
Published: (2026)
by: Buzzi, Claudio A., et al.
Published: (2026)
The inheritance of local bifurcations in mass action networks
by: Banaji, Murad, et al.
Published: (2023)
by: Banaji, Murad, et al.
Published: (2023)
On the monograph "Finiteness Theorems for limit cycles" and a special case of alternant cycles
by: Yeung, Melvin
Published: (2024)
by: Yeung, Melvin
Published: (2024)
Surfaces with central configuration and Dulac's problem for a three dimensional isolated Hopf singularity
by: Corral, Nuria, et al.
Published: (2024)
by: Corral, Nuria, et al.
Published: (2024)
A Bifurcation Lemma for Invariant Subspaces
by: Neuberger, John M., et al.
Published: (2023)
by: Neuberger, John M., et al.
Published: (2023)
Stability and cyclicity of polycycles in non-smooth planar vector fields
by: Santana, Paulo
Published: (2021)
by: Santana, Paulo
Published: (2021)
A Maximum Modulus Theorem for functions admitting Stokes phenomena, and specific cases of Dulac's Theorem
by: Palma-Márquez, Jesús, et al.
Published: (2024)
by: Palma-Márquez, Jesús, et al.
Published: (2024)
The Krylov-Bogoliuvob-Mitropolsky averaging method for polynomial dynamical systems
by: Alvarez, Frank Ernesto, et al.
Published: (2025)
by: Alvarez, Frank Ernesto, et al.
Published: (2025)
First order endotactic reaction networks
by: Xu, Chuang
Published: (2024)
by: Xu, Chuang
Published: (2024)
Bifurcations of grazing loops of arbitrary tangent multiplicity in piecewise-smooth systems
by: Chen, Xingwu, et al.
Published: (2026)
by: Chen, Xingwu, et al.
Published: (2026)
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)
Asymptotic stability and stability switching for a system of delay differential equations
by: Saito, Wataru, et al.
Published: (2019)
by: Saito, Wataru, et al.
Published: (2019)
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)
Similar Items
-
An efficient solution procedure for solving higher-codimension Hopf and Bogdanov-Takens bifurcations
by: Zeng, Bing, et al.
Published: (2022) -
Bi-center conditions and bifurcation of limit cycles in a class of $Z_2$-equivariant cubic switching systems with two nilpotent points
by: Chen, Ting, et al.
Published: (2024) -
Weak-Coppel problem for a class of Riccati differential equations
by: Gasull, Armengol, et al.
Published: (2025) -
Center Conditions and Cyclicity for Generic Planar Polynomial Vector Fields
by: Villanueva, Yovani, et al.
Published: (2026) -
Multicycle dynamics and high-codimension bifurcations in SIRS epidemic models with cubic psychological saturated incidence
by: Wang, Henan, et al.
Published: (2025)