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Analytic integrals and Poincaré's centre problem
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Wolf von Wahl
Published/Copyright:
September 25, 2009
Summary
As for Poincaré's centre-problem Poincaré [3] himself assumed that if the origin is a centre then there is an integral (constant of motion) being analytic in a neighborhood of the origin. We are going to prove this assumption and vice versa in a concise way by using techniques developed by C. L. Siegel [6].
Keywords: dynamical systems; periodic solutions
Published Online: 2009-09-25
Published in Print: 2005-12-01
© Oldenbourg Wissenschaftsverlag GmbH
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- Inequalities for the hyperbolic tangent
- Analytic integrals and Poincaré's centre problem
- Generalized partition functions and subgroup growth of free products of nilpotent groups
- Uniqueness polynomials for entire curves into complex projective space
- On a fourth order Steklov eigenvalue problem
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Articles in the same Issue
- Inequalities for the hyperbolic tangent
- Analytic integrals and Poincaré's centre problem
- Generalized partition functions and subgroup growth of free products of nilpotent groups
- Uniqueness polynomials for entire curves into complex projective space
- On a fourth order Steklov eigenvalue problem
- Conformal measures for non-entire functions with critical values eventually mapped onto infinity
