摘要:

The bifurcation structure and asymptotic dynamics of even, spatially periodic solutions to the time‐dependent Ginzburg‐Landau equation are investigated analytically and numerically. All solutions spring from unstable periodic modulations of a uniform wavetrain. Asymptotic states include limit cycles, two‐tori, and chaotic attractors. Lyapunov exponents for some chaotic motions are obtained. These show the solution strange attractors to have a fractal dimension slightly greater t

ISSN:0022-2526    

DOI:10.1002/sapm198573291

年代:1985

数据来源: WILEY

摘要:

The ordered‐site‐access model of forest harvesting formulated for once‐and‐for‐all forests in [7] is extended to the case of ongoing forests. The economic content of the corresponding optimal harvest schedule is delineated. For an infinite harvest sequence, the optimal schedule is shown to include the classical Faustmann rotation as a special case, and the effect of net revenue functions changing with harvest is studied. For the practically more important case of planning for a finite sequence of [INLINEEQUATION]harvests, the optimal harvest schedule is determined for a Faustmann environment with limited, and unlimited harvesting capacity, and its rapid convergence to the Faustmann rotation is shown for the case of unlimited harvesting capacity. The case of harvest cost functions varying with harvest rate is discussed. The existence of a steady‐state optimal harvesting schedule (involving a pathwise uniform age distribution) for the more realistic Heaps‐Neher environment and its relation to the Faustmann rotation are analyzed. The evolution of the optimal harvest schedule for a finite harvest sequence in a Heaps‐Neher environment toward this steady‐state (Faustmann type) rotatio

ISSN:0022-2526    

DOI:10.1002/sapm1985732155

年代:1985

数据来源: WILEY

摘要:

Cooling of viscoelastic material from high temperature to room temperature is reconsidered for a set of constitutive equations different from those used in a recent paper. For simple geometries such as plates, cylinders and spheres, the basic equations reduce again to a Volterra‐type integrodifferential equation, to which the results of the earlier paper appl

ISSN:0022-2526    

DOI:10.1002/sapm1985732177

年代:1985

数据来源: WILEY