??????? ??????? ?? ???? ???? ?????? ???? ????? ?? ???? , ?????? ???? ????????? , ??????? ???? ????????? ??? ????? ??, ?? ???? ??? ?????? ??? ???? ?? ???? ??:

${\displaystyle \delta {\mathcal {S}}=\delta \int _{t_{1}}^{t_{2}}L(\mathbf {q} ,\mathbf {\dot {q}} ,t)dt=0}$

????? ${\displaystyle {\mathcal {S}}}$ ???? ??; ?? ?????? ????? ?? ?????????

${\displaystyle L(\mathbf {q} ,\mathbf {\dot {q}} ,t)=T(\mathbf {\dot {q}} ,t)-V(\mathbf {q} ,\mathbf {\dot {q}} ,t)}$

?? ?? ????? t ₁ ??? t ₂ ?????? ??????? ????? ??? ????? ?? ????? (????????) ???? T (????? ?? ???? ?? ?????? ?? ?? ?? ??? ??????), ??? ???????? ????? V (???? ?? ??? ?????? ??? ?? ?? ?????? ??) ??? ?????? ???? N ??????? ???? ????? ?? ???? ??? ????? ???? ??? ??-????????? q = ( q ₁ , q ₂ , ... q _N ) ????? ????????? ???? ????? ???

????? ???????????? ????? ??? ????? ???? ???? ??? ??????? ??????? p = ( p ₁ , p ₂ , ..., p _N ) ????? ??, ?????:

${\displaystyle p_{i}={\frac {\partial L}{\partial {\dot {q}}_{i}}}}$

????? ??? ????????? ????? ?? ???? ????? ?? ????? ?? ???????? ????? ??? ???? “????” ????? ??? ??? ??? (???) ??? ?????? ???? ?? ?? ????? ????? ???? ???? ???? ??? ????? ???? ??? ???????????? ?? ????? ???? ???? ???? ????? ??, ???? ?? ??? ????? ????????????? ???? ????? ??? q(t)?

????? ??? ??????? ????? ?? ?? ?? ??? ??????, ?????? ?? ????????? ???? ????? ???? ??, ??? ????????? ???? q(t) ???? ????? ???? ??, ???? ????? ( t ₁ ??? t ₂ ??? ?? ??? ?????? ????) ???? ????? ?? ???? ?? ???? ???? ???? ????? ???? ??? ??? ?? ?? ???? ??????, ???? ???? ???? ???? ????? ??, ?? ??? ???? ?? ????? ??? ?? ???? ???? ?????? ???? ????? ?? (????? ???? ???) ??? ??????? ???? ????? ??? ????????? ?????? ?? ???? ?? ???? ???????? ?? ??? ?? ?????? ???? ???? ?? ???? ???? ??? ????? ????? ??, ?? ????? ????? ??, ?? ?? ???? ????????? ?? ??? ???? ??? (???? ?????? ????, ??? ??? ??? ??? ??? ??? ???? ??? ?? ??????? ??? ???? ?? ???????? ??? ??? ????? ???? ?????? ??? ???????????? ???? ????? ??? ???? ???? ???? ????? ???? ??, ???? ?? ????? ?????? ?? ???? ?? ???? ???? ?? ???? ???? ????? ??, ?? ???? ???? ??? ????? ?????? ??? ?? ???????? ?? ??????? ????)

??? ??? ?? L, ???? ???? ????? ?? ???? ???? ???? E ?????, ???? ??? ????? ???

${\displaystyle E=T+V}$

??? ????? ??? [ ???? ]

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???? ?????????? ??????? ???? ????? [ ???? ]

????? ?? ???? ???? ??? ????? ??????? [ ???? ]

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???????? ????-??? ???? ?? ?????? ??? ????? ?????????? ????? ???

• Interactive explanation of the principle of least action
• Interactive applet to construct trajectories using principle of least action
• Georgi Yordanov Georgiev 2012 [1] , A quantitative measure, mechanism and attractor for self-organization in networked complex systems, in Lecture Notes in Computer Science (LNCS 7166), F.A. Kuipers and P.E. Heegaard (Eds.): IFIP International Federation for Information Processing, Proceedings of the Sixth International Workshop on Self-Organizing Systems (IWSOS 2012), pp. 90?95, Springer-Verlag (2012).
• Georgi Yordanov Georgiev and Iskren Yordanov Georgiev 2002 [2] , The least action and the metric of an organized system, in Open Systems and Information Dynamics, 9(4), p. 371-380 (2002)