Formal and analytic integrability of the rossler system

Jaume Llibre; Clàudia Valls

doi:https://doi.org/10.1142/S0218127407019044

Formal and analytic integrability of the rossler system

Jaume Llibre, Clàudia Valls

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

9 Citations (Scopus)

Abstract

The well-known Rossler system can be written as ẋ = -(z + y), ẏ= x + ay and ż = b + xz - cz. Here, we study the first integrals of the Rossler system that can be described by formal power series. © World Scientific Publishing Company.

Original language	English
Pages (from-to)	3289-3293
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	17
DOIs	https://doi.org/10.1142/S0218127407019044
Publication status	Published - 1 Jan 2007

Keywords

Integrability
Polynomial systems

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https://doi.org/10.1142/S0218127407019044

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title = "Formal and analytic integrability of the rossler system",

abstract = "The well-known Rossler system can be written as ẋ = -(z + y), ẏ= x + ay and {\.z} = b + xz - cz. Here, we study the first integrals of the Rossler system that can be described by formal power series. {\textcopyright} World Scientific Publishing Company.",

keywords = "Integrability, Polynomial systems",

author = "Jaume Llibre and Cl{\`a}udia Valls",

year = "2007",

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T1 - Formal and analytic integrability of the rossler system

AU - Llibre, Jaume

AU - Valls, Clàudia

PY - 2007/1/1

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N2 - The well-known Rossler system can be written as ẋ = -(z + y), ẏ= x + ay and ż = b + xz - cz. Here, we study the first integrals of the Rossler system that can be described by formal power series. © World Scientific Publishing Company.

AB - The well-known Rossler system can be written as ẋ = -(z + y), ẏ= x + ay and ż = b + xz - cz. Here, we study the first integrals of the Rossler system that can be described by formal power series. © World Scientific Publishing Company.

KW - Integrability

KW - Polynomial systems

U2 - https://doi.org/10.1142/S0218127407019044

DO - https://doi.org/10.1142/S0218127407019044

M3 - Article

VL - 17

SP - 3289

EP - 3293

ER -

Formal and analytic integrability of the rossler system

Abstract

Keywords

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