FORMAL DECOMPOSITION METHOD AND PARAMETRIC NORMAL FORMS
From MaRDI portal
Publication:3086267
DOI10.1142/S0218127410027830zbMath1208.34046MaRDI QIDQ3086267
Publication date: 30 March 2011
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)
Related Items (10)
Normal form of Bogdanov-Takens: styles and a hypernormalization method ⋮ The infinite level normal forms for non-resonant double Hopf singularities ⋮ Spectral sequences and parametric normal forms ⋮ Normal Form Analysis of ℤ2-Equivariant Singularities ⋮ Parametric normal forms for Bogdanov-Takens singularity; the generalized saddle-node case ⋮ Bogdanov-Takens bifurcation in predator-prey systems ⋮ Bifurcation Control and Universal Unfolding for Hopf-Zero Singularities with Leading Solenoidal Terms ⋮ Bifurcation Controller Designs for the Generalized Cusp Plants of Bogdanov--Takens Singularity with an Application to Ship Control ⋮ Bifurcation Analysis of a Mosquito Population Model with a Saturated Release Rate of Sterile Mosquitoes ⋮ Complex dynamics in a unified SIR and HIV disease model: a bifurcation theory approach
Uses Software
Cites Work
- Unique normal forms for vector fields and Hamiltonians
- Linear grading function and further reduction of normal forms
- Hypernormal form theory: foundations and algorithms
- Unique normal forms: The nilpotent Hamiltonian case
- An improved theory of asymptotic unfoldings
- The Campbell-Hausdorff group and a polar decomposition of graded algebra automorphisms
- Smooth equivalence of germs of vector fields with a single zero eigenvalue or a pair of purely imaginary eigenvalues
- Further reduction of the Takens-Bogdanov normal form
- A unified approach to linear and nonlinear normal forms for Hamiltonian systems
- Asymptotic unfoldings of dynamical systems by normalizing beyond the normal form
- A matching pursuit technique for computing the simplest normal forms of vector fields
- Normal form theory and spectral sequences.
- Unique normal form of Bogdanov-Takens singularities
- Further reductions of normal forms for dynamical systems
- Computation of the simplest normal forms with perturbation parameters based on Lie transform and rescaling
- Normal form in filtered Lie algebra representations
- Normal forms near critical points for differential equations and maps
- AN EFFICIENT METHOD FOR COMPUTING THE SIMPLEST NORMAL FORMS OF VECTOR FIELDS
- A SUFFICIENT CONDITION FOR THE UNIQUENESS OF NORMAL FORMS AND UNIQUE NORMAL FORMS OF GENERALIZED HOPF SINGULARITIES
- Normal forms for nonlinear vector fields. I. Theory and algorithm
- UNIQUE NORMAL FORMS FOR NILPOTENT PLANAR VECTOR FIELDS
- Normal Forms and Unfoldings for Local Dynamical Systems
- The simplest normal form of Hopf bifurcation
- INFINITE ORDER PARAMETRIC NORMAL FORM OF HOPF SINGULARITY
- SIMPLEST NORMAL FORMS OF HOPF AND GENERALIZED HOPF BIFURCATIONS
- Averaging methods in nonlinear dynamical systems
This page was built for publication: FORMAL DECOMPOSITION METHOD AND PARAMETRIC NORMAL FORMS
