Non classi cal Electromagnetic Dynamics
Keywords:
geometricdynamics,second-ordervectors,second-orderLagrangian,nonclassicaldynamics.Abstract
Our paperi scon cernedwith effect sofspe cialforceso nth emotio nofparticle s.§1(§2)stud iesthesingle-timegeometricdy namicsin ducedbye lectromag neticve ctorfields(1-fo rms)andby the Euclide anstruct ureofthe space.§3define sthesecond-ord erformso rvectors.§4(§5) de cribesanonc lassicalelectric(magnetic)dynamics producedbya n”electric(mag netic)second-orderLagrangian”,viatheextremalsoftheenergyfunctional.§6gen-eralizethisdynamicsforageneralsecond-orderLagrangian,havinginmindpossibleapplicationsfordynamical systemscomingfromBiomathematics,EconomicalMathematics,IndustrialMathematics,etc.
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