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...a nonlinear spin-one field model in the plane that is [[integrable system|integrable]] {{harv|Sattinger|Tracy|Venakides|1991|p=78}}. ...ntinuous classical Heisenberg ferromagnet equation]] (CCHFE). The CCHFE is integrable. ...

...1= Hiroshima |first1=Fumio |date=1996 |title= Diamagnetic inequalities for systems of nonrelativistic particles with a quantized field.|url= https://mathscine ...n)</math> the [[Sobolev space]] of square-integrable functions with square-integrable derivatives. ...

...onic balance technique for determination of periodic response of nonlinear systems | journal = IEEE Transactions on Circuits and Systems ...

...amplitude''' is a [[complex number]] used for describing the behaviour of systems. The square of the [[Absolute value|modulus]] of this quantity represents a ...en state vector and "position [[Quantum state#Basis states of one-particle systems|basis]]" <math>\{|x\rangle\}</math> of the Hilbert space can be written as< ...

...}}(''t'')}}.<ref name="Bessai_2005">{{cite book | title = MIMO Signals and Systems | first = Horst J. | last = Bessai | publisher = Springer | year = 2005 | p ...s for solving any such system (determining {{math|''h''(''t'')}}), whereas systems not meeting both properties are generally more difficult (or impossible) to ...

...to verify if exact differentials also exist for non-orthogonal coordinate systems.</ref> ...hat{\mathbf{r}}</math> is conservative, provided that <math>F(r)</math> is integrable. ...

...erywhere]], then {{mvar|f}} is integrable [[if and only if]] {{mvar|g}} is integrable and the integrals of {{mvar|f}} and {{mvar|g}} are identical. A rigorous a ...en T.|url={{google books |plainurl=y |id=f0RdM1zv_dkC}}| title=Signals and Systems with MATLAB Applications|date=2003|publisher=Orchard Publications|isbn=978- ...

...ntials, separating the system into <math>n</math> independent one-particle systems.<ref>D. Bohm, B. J. Hiley, P. N. Kaloyerou: ''An ontological basis for the ...1999</ref><ref>Robert Carroll: ''Aspects of quantum groups and integrable systems'', Proceedings of Institute of Mathematics of NAS of Ukraine, vo.&nbsp;50, ...