Normal forms for nonautonomous differential equations
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Publication:1604513
DOI10.1006/jdeq.2000.4008zbMath1011.34027OpenAlexW2015821261MaRDI QIDQ1604513
Publication date: 4 July 2002
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.2000.4008
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Spectrum, resolvent (47A10) Ordinary differential equations and systems with randomness (34F05) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)
Related Items (20)
Normal form and limit cycle bifurcation of piecewise smooth differential systems with a center ⋮ Normal forms for equivariant differential equations ⋮ BIFURCATIONS AND CONTINUOUS TRANSITIONS OF ATTRACTORS IN AUTONOMOUS AND NONAUTONOMOUS SYSTEMS ⋮ Proportional Local Assignability of the Dichotomy Spectrum of One-Sided Discrete Time-Varying Linear Systems ⋮ Necessary and sufficient conditions for assignability of dichotomy spectra of continuous time-varying linear systems ⋮ Nonuniform \(\mu \)-dichotomy spectrum and kinematic similarity ⋮ Nonuniform dichotomy spectrum and normal forms for nonautonomous differential systems ⋮ Computation of stable and unstable manifolds of hyperbolic trajectories in two-dimensional, aperiodically time-dependent vector fields ⋮ Normal forms, holomorphic linearization and generic bifurcations of dynamic equations on discrete time scales ⋮ Comments on Poincaré theorem for quasi-periodic systems ⋮ Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations ⋮ Poincaré type theorems for non-autonomous systems ⋮ Partial linearization for planar nonautonomous differential equations ⋮ Taylor approximation of integral manifolds ⋮ Dichotomy spectra of triangular equations ⋮ Proportional local assignability of dichotomy spectrum of one-sided continuous time-varying linear systems ⋮ A Sternberg theorem for nonautonomous differential equations ⋮ Assignability of dichotomy spectra for discrete time-varying linear control systems ⋮ NONUNIFORM DICHOTOMY SPECTRUM INTERVALS: THEOREM AND COMPUTATION ⋮ Nonuniform dichotomy spectrum and reducibility for nonautonomous equations
Cites Work
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- Normal form of Duffing-van der Pol oscillator under nonautonomous parametric perturbations
- A necessary and sufficient condition of smooth linearization of autonomous planar systems in a neighborhood of a critical point
- Local \(C^n\) transformations of the real line
- Continuous normal form of a class of nonautonomous parametrically- perturbed systems and its application
- The Hamiltonian Hopf bifurcation
- Normal forms for periodic systems
- Linearization in two dimensions
- Smooth equivalence of germs of vector fields with a single zero eigenvalue or a pair of purely imaginary eigenvalues
- Obstructions to finitely smooth linearizations
- Normal forms of germs of \(C^\infty\)-mappings
- Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff
- Functional equations and conjugacy of local diffeomorphisms of a finite smoothness class
- A counterexample to smooth linearization
- A spectral theory for linear differential systems
- Dichotomies in stability theory
- On the continuous dependence of the smooth change of coordinates in parametrized normal form theorems
- Smooth linearization of vector fields near invariant manifolds
- On a linearization theorem of Sternberg for germs of diffeomorphisms
- Linearization of vector fields near resonant hyperbolic rest points
- Obstacles to local smooth linearization of systems of ordinary differential equations
- Finitely smooth normal forms of a local family of diffeomorphisms near the center manifold of a fixed point
- A generalization of the theory of normal forms
- Partially hyperbolic fixed points
- Normal forms for certain singularities of vectorfields
- REDUCIBILITY OF NONAUTONOMOUS LINEAR DIFFERENTIAL EQUATIONS
- Local Contractions and a Theorem of Poincare
- On the Structure of Local Homeomorphisms of Euclidean n-Space, II
- Normal forms near critical points for differential equations and maps
- Smooth Linearization Near a Fixed Point
- Time-dependent normal form theory and Schrödinger initial value problems
- Normal Form and Linearization for Quasiperiodic Systems
- Finitely-smooth normal forms of local families of diffeomorphisms and vector fields
- Differentiable conjugacy near compact invariant manifolds
- EQUIVALENCE AND NORMAL FORMS OF GERMS OF SMOOTH MAPPINGS
- The Structure of Local Homeomorphisms, III
- Equivalence and Decomposition of Vector Fields About an Elementary Critical Point
- Dichotomy spectrum for nonautonomous differential equations
- Elements of applied bifurcation theory
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