
A key tool in the study of the dynamics of vector fields near an equilibrium point is the theory of normal forms, invented by Poincaré, which give simple forms to which a vector field can be reduced close to the equilibrium...
Normal forms for dynamical systems, 330, Exponentially small remainders, optimal truncation, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], semisimple linearization, exponentially small remaiders, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Normal forms, 510, exponentially small remainders, Analytic vector fields, normal forms, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], analytic vector fields, small divisors, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Transformation and reduction of ordinary differential equations and systems, normal forms, Analysis
Normal forms for dynamical systems, 330, Exponentially small remainders, optimal truncation, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], semisimple linearization, exponentially small remaiders, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Normal forms, 510, exponentially small remainders, Analytic vector fields, normal forms, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], analytic vector fields, small divisors, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Transformation and reduction of ordinary differential equations and systems, normal forms, Analysis
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