Add to ORKGWe use a computer algebra system to compute, in an efficient way, optimal control variational symmetries up to a gauge term. The symmetries are then used to obtain families of Noether's first integrals, possibly in the presence of nonconservative external forces. As an application, we obtain eight independent first integrals for a sub-Riemannian nilpotent problem (2, 3, 5, 8).control theory group (cotg)CEOCPOCTI/MAT/41683 /2001PRODEP III/5.3/200
Computer ApplicationWe give a new computational method to obtain symmetries of ordinary differential...
It is argued that the existence of symmetries may simplify, as in classical mechanics, the solution ...
It is argued that the existence of symmetries may simplify, as in classical mechanics, the solution ...
We use a computer algebra system to compute, in an efficient way, optimal control variational symme...
We use a computer algebra system to compute, in an efficient way, optimal control variational symmet...
We extend the second Noether theorem to optimal control problems which are invariant under symmetrie...
We give a new computational method to obtain symmetries of ordinary differential equations. The prop...
A computer algebra package, for the automatic computation of variational symmetries in optimal contr...
We present analytical computational tools that permit us to identify, in an automatic way, conservat...
We present analytic computational tools that permit us to identify, in an automatic way, conservati...
Making use of a computer algebra system, we define computational tools to identify symmetries and co...
Computer ApplicationWe present analytic computational tools that permit us to identify, in an automa...
We obtain a method to compute effective first integrals by combining Noether's principle with the Ko...
We give a new computational method to obtain symmetries of ordinary differential equations. The prop...
We present analytic computational tools that permit us to identify, in an auto-matic way, conservati...
Computer ApplicationWe give a new computational method to obtain symmetries of ordinary differential...
It is argued that the existence of symmetries may simplify, as in classical mechanics, the solution ...
It is argued that the existence of symmetries may simplify, as in classical mechanics, the solution ...
We use a computer algebra system to compute, in an efficient way, optimal control variational symme...
We use a computer algebra system to compute, in an efficient way, optimal control variational symmet...
We extend the second Noether theorem to optimal control problems which are invariant under symmetrie...
We give a new computational method to obtain symmetries of ordinary differential equations. The prop...
A computer algebra package, for the automatic computation of variational symmetries in optimal contr...
We present analytical computational tools that permit us to identify, in an automatic way, conservat...
We present analytic computational tools that permit us to identify, in an automatic way, conservati...
Making use of a computer algebra system, we define computational tools to identify symmetries and co...
Computer ApplicationWe present analytic computational tools that permit us to identify, in an automa...
We obtain a method to compute effective first integrals by combining Noether's principle with the Ko...
We give a new computational method to obtain symmetries of ordinary differential equations. The prop...
We present analytic computational tools that permit us to identify, in an auto-matic way, conservati...
Computer ApplicationWe give a new computational method to obtain symmetries of ordinary differential...
It is argued that the existence of symmetries may simplify, as in classical mechanics, the solution ...
It is argued that the existence of symmetries may simplify, as in classical mechanics, the solution ...