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Differential invariants and their corresponding canonical forms for systems of three 2nd-order ODEs possessing three-dimensional Lie algebras are constructed. Their extension up to th-order system of three 2nd-order ODEs is… Click to show full abstract
Differential invariants and their corresponding canonical forms for systems of three 2nd-order ODEs possessing three-dimensional Lie algebras are constructed. Their extension up to th-order system of three 2nd-order ODEs is presented. Furthermore singularity in invariant structure for the canonical forms is investigated. In addition integrability of these canonical forms is discussed. Illustrative physical examples from mechanics of system of particles are provided.
Keywords:
order;
systems three;
canonical forms;
order odes;
2nd order;
three 2nd
Journal Title: Advances in Mathematical Physics
Year Published: 2017
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Journal Title: Advances in Mathematical Physics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!