POLYNOMIAL FIRST INTEGRALS FOR THE CHEN AND LÜ SYSTEMS-Reference-Cited by-同舟云学术

POLYNOMIAL FIRST INTEGRALS FOR THE CHEN AND LÜ SYSTEMS

Published:2012-11 Issue:11 Volume:22 Page:1250262
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

LLIBRE JAUME¹,VALLS CLAUDIA²

Affiliation:

1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra, Barcelona, Catalonia, Spain

2. Departamento de Matemática, Instituto Superior Técnico (U.T.L.), Av. Rovisco Pais 1049-001 Lisboa, Portugal

Abstract

We characterize all the values of the parameters for which the Chen and Lü systems have polynomial first integrals by using weight homogeneous polynomials and the method of characteristics for solving partial differential equations. We improve previous results which were not complete.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127412502628

Reference18 articles.

1. ANALYSIS OF STOCHASTIC CYCLES IN THE CHEN SYSTEM

2. BIFURCATION AND CHAOS IN THE FRACTIONAL-ORDER CHEN SYSTEM VIA A TIME-DOMAIN APPROACH

3. THE CHEN SYSTEM HAVING AN INVARIANT ALGEBRAIC SURFACE

4. YET ANOTHER CHAOTIC ATTRACTOR

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