Centering conditions for planar septic systems.
Volokitin, Evgenii P. (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Volokitin, Evgenii P. (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Alwash, Mohamad Ali M. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Heiberg, C.H. (1983)
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Nicklason, Gary R. (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Klaudiusz Wójcik (2000)
Annales Polonici Mathematici
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We show that under some assumptions on the function f the system generates chaotic dynamics for sufficiently small parameter ϕ. We use the topological method based on the Lefschetz fixed point theorem and the Ważewski retract theorem.
Javier Chavarriga, Jaume Giné (1997)
Publicacions Matemàtiques
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In this work we study the integrability of two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fifth degree. We give a simple characterisation for the integrable cases in polar coordinates. Finally we formulate a conjecture about the independence of the two classes of parameters which appear on the system; if this conjecture is true the integrable cases found will be the only possible ones.
Javier Chavarriga, Jaume Giné (1996)
Publicacions Matemàtiques
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In this work we study the integrability of a two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fourth degree. We give sufficient conditions for integrability in polar coordinates. Finally we establish a conjecture about the independence of the two classes of parameters which appear in the system; if this conjecture is true the integrable cases found will be the only possible ones.
Jeffres, Thalia, Lancaster, Kirk (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Đurđica Takači, Dragoslav Herceg, Radivoje Stojković (2005)
The Teaching of Mathematics
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Cheng, Sui Sun, Huang, Shao Yuan (2009)
Applied Mathematics E-Notes [electronic only]
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Glad, S.Torkel, Petersson, Daniel, Rauch-Wojciechowski, Stefan (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Shah, Manilal (1969)
Portugaliae mathematica
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