Trends in Mathematics - Differential Equations with Symbolic Computation
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On Symbolic Computation of the LCE of N-Dimensional Dynamical Systems

Trends in Mathematics - Differential Equations with Symbolic Computation ◽

10.1007/3-7643-7429-2_6 ◽

2006 ◽

pp. 85-107

Author(s):

Shucheng Ning ◽

Zhiming Zheng

Keyword(s):

Dynamical Systems ◽

Symbolic Computation

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Darboux Integrability and Limit Cycles for a Class of Polynomial Differential Systems

Trends in Mathematics - Differential Equations with Symbolic Computation ◽

10.1007/3-7643-7429-2_4 ◽

2006 ◽

pp. 55-65 ◽

Author(s):

Jaume Giné ◽

Jaume Llibre

Keyword(s):

Limit Cycles ◽

Darboux Integrability ◽

Differential Systems ◽

Polynomial Differential Systems

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Algorithmic Reduction and Rational General Solutions of First Order Algebraic Differential Equations

Trends in Mathematics - Differential Equations with Symbolic Computation ◽

10.1007/3-7643-7429-2_12 ◽

2006 ◽

pp. 201-212 ◽

Author(s):

Guoting Chen ◽

Yujie Ma

Keyword(s):

Differential Equations ◽

General Solutions ◽

Algebraic Differential Equations ◽

First Order ◽

Order Algebraic

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Attractive Regions in Power Systems by Singular Perturbation Analysis

Trends in Mathematics - Differential Equations with Symbolic Computation ◽

10.1007/3-7643-7429-2_8 ◽

2006 ◽

pp. 121-142

Author(s):

Zhujun Jing ◽

Ruiqi Wang ◽

Luonan Chen ◽

Jin Deng

Keyword(s):

Singular Perturbation ◽

Power Systems ◽

Perturbation Analysis ◽

Singular Perturbation Analysis

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CONSLAW: A Maple Package to Construct the Conservation Laws for Nonlinear Evolution Equations

Trends in Mathematics - Differential Equations with Symbolic Computation ◽

10.1007/3-7643-7429-2_17 ◽

2006 ◽

pp. 307-325

Author(s):

Ruo-Xia Yao ◽

Zhi-Bin Li

Keyword(s):

Conservation Laws ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

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On the Construction of Groebner Basis of a Polynomial Ideal Based on Riquier—Janet Theory

Trends in Mathematics - Differential Equations with Symbolic Computation ◽

10.1007/3-7643-7429-2_20 ◽

2006 ◽

pp. 351-368 ◽

Author(s):

Wenjun Wu (Wen-tsün Wu)

Keyword(s):

Polynomial Ideal ◽

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Generalized Differential Resultant Systems of Algebraic ODEs and Differential Elimination Theory

Trends in Mathematics - Differential Equations with Symbolic Computation ◽

10.1007/3-7643-7429-2_18 ◽

2006 ◽

pp. 327-341

Author(s):

Giuseppa Carrá Ferro

Keyword(s):

Elimination Theory ◽

Differential Elimination ◽

Generalized Differential

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Looking for Periodic Solutions of ODE Systems by the Normal Form Method

Trends in Mathematics - Differential Equations with Symbolic Computation ◽

10.1007/3-7643-7429-2_11 ◽

2006 ◽

pp. 173-200 ◽

Author(s):

Victor F. Edneral

Keyword(s):

Normal Form ◽

Periodic Solutions ◽

Normal Form Method ◽

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Continuous and Discrete Homotopy Operators and the Computation of Conservation Laws

Trends in Mathematics - Differential Equations with Symbolic Computation ◽

10.1007/3-7643-7429-2_15 ◽

2006 ◽

pp. 255-290 ◽

Author(s):

Willy Hereman ◽

Michael Colagrosso ◽

Ryan Sayers ◽

Adam Ringler ◽

Bernard Deconinck ◽

...

Keyword(s):

Conservation Laws ◽

Homotopy Operators

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Symbolic Computation of Lyapunov Quantities and the Second Part of Hilbert’s Sixteenth Problem

Trends in Mathematics - Differential Equations with Symbolic Computation ◽

10.1007/3-7643-7429-2_1 ◽

2006 ◽

pp. 1-22 ◽

Author(s):

Stephen Lynch

Keyword(s):

Symbolic Computation

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