Classification and integration of four-dimensional dynamical systems admitting non-linear superposition

• The method of integration of dynamical systems admitting non-linear superpositions is applied to four-dimensional non-linear dynamical systems. All four-dimensional dynamical systems admitting non-linear superpositions with four-dimensional Vessiot-Guldberg-Lie algebras are classified into 160 standard forms. The integration method is described and illustrated.

Ämnesord

NATURVETENSKAP  -- Matematik -- Algebra och logik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Algebra and Logic (hsv//eng)

Nyckelord

Classification

Dynamical system

Integration

Non-linear superposition

Standard forms of dynamical systems

Vessiot-Guldberg-Lie algebra

Algebra

Classification (of information)

Linear control systems

Integration method

Lie Algebra

Method of integration

Non linear

Dynamical systems

Publikations- och innehållstyp

ref (ämneskategori)

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