Convergence of perturbative expansions
DOI10.1007/978-1-0716-2621-4_404zbMATH Open1548.70014MaRDI QIDQ6599386
Publication date: 6 September 2024
Bifurcations and instability for nonlinear problems in mechanics (70K50) General perturbation schemes for nonlinear problems in mechanics (70K60) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nonlinear resonances for nonlinear problems in mechanics (70K30) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02) Averaging of perturbations for nonlinear problems in mechanics (70K65)
Cites Work
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- Convergence versus integrability in Poincaré-Dulac normal form
- Analytic classification of germs of conformal mappings \((C,O) \to (C,O)\) with identity linear part
- On differential equations in normal form
- On the reduction of differential equations to the normal form by an analytic transformation
- Convergence of Birkhoff normal forms for integrable systems
- Rapidly convergent iteration method for simultaneous normal forms of commuting maps
- On transformations into normal form
- Symmetries and convergence of normalizing transformations
- Fixed points and circle maps
- Normal form theory and spectral sequences.
- Convergence or generic divergence of the Birkhoff normal form
- Solutions d'un système d'équations différentielles dans le voisinage de valeurs singulières.
- Convergence of normal form transformations: The Role of symmetries
- Integrability of Hamiltonian systems and Birkhoff normal forms in the simple resonance cases
- Non linearizable holomorphic dynamics having an uncountable number of symmetries
- On the convergence of normalizing transformations in the presence of symmetries
- On convergent normal from transformations in presence of symmetries
- Convergence versus integrability in Birkhoff normal form
- Normal forms and integrability of ODE systems
- Normal forms of maps: Formal and algebraic aspects
- Normal form in filtered Lie algebra representations
- Classification analytique des équations différentielles non linéaires résonnantes du premier ordre
- Normal forms, symmetry and linearization of dynamical systems
- Algèbres commutatives de champs de vecteurs isochores
- Convergent normal forms of symmetric dynamical systems
- Symmetry and Perturbation Theory in Nonlinear Dynamics
- Solvability of systems of singular partial differential equations in function spaces
- Looking for Periodic Solutions of ODE Systems by the Normal Form Method
- Singular complete integrability
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