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Cubic and generalized van der Waals equations of state have been a subject of active research since van der Waals proposed his famous equation in 1873.
However, cubic and, to a lesser extent, generalized van der Waals equations are the most frequently used equations of state for practical applications.
Chaos in a fractional order modified van der Pol system is studied by [9], where chaos exists in the fractional order system with the order both less than and higher than the number of the states of the integer order generalized van der Pol system.
A model based on the Generalized van der Waals partition function is derived to predict the adsorption of square-well fluid in slit pores of any size, the walls of which also have square-well potential.
The generalized van der Pol equation withf x,x =μ0+μ1x−μ2x2is studied in detail.
A generalized van der Pol oscillator with parametric excitation is studied for its bifurcation.
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Finally, the third model comprises an effort to generalize the previous van der Pol differential equations, both linear and nonlinear, where the ordinary time derivatives and integrals are replaced by corresponding fractional-order time derivatives and integrals of order p<2 (p="n−δ, n= 1,2,δ≪1).
Other authors have generalized this to level k networks (van Iersel et al., 2008), allowing at most k reticulate nodes in any biconnected component.
The hospital diagnosis was "generalized delirium", and within a few days van Gogh was sectioned.
The result has been generalized and strengthened in various ways, beginning with Pauly and van Hees's (2006) proof that the impossibility persists if anonymity is weakened to non-dictatorship (for other generalizations, see Dietrich 2006 and Mongin 2008).
The flux-vector splittings of Steger-Warming and van Leer, and Roe's approximate Riemann solver are generalized to arbitrary equilibrium gas laws.
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