Equivalence to Thermodynamic Functions Induced in Nonlinear Systems by Symmetries of Transformation Groups
نویسندگان
چکیده
Characteristic f u n c t i o n s h a v e been def ined in nonlinear a u t o n o m o u s s y s t e m s . These funct ions possess properties which are equivalent to those o f the energy a n d t h e entropy concepts of t h e r m o d y n a m i c s . T h e n e w funct ions are induced in nonlinear s y s t e m s b y one parameter transf o r m a t i o n groups . T h e m a t h e m a t i c a l t r e a t m e n t is based on canonical f o r m s and their transf o r m a t i o n .
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