منابع مشابه
Dynamics of Delay Logistic Difference Equation in the Complex Plane
The dynamics of the delay logistic equation with complex parameters and arbitrary complex initial conditions is investigated. The analysis of the local stability of this difference equation has been carried out. We further exhibit several interesting characteristics of the solutions of this equation, using computations, which does not arise when we consider the same equation with positive real ...
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Confined aquifers are formations surrounded by impermeable layers called cap rocks and bed rocks. These aquifers are suitable for the seasonal storage of thermal energy. A confined aquifer was designed to meet the cooling and heating energy needs of a residential building complex located in Tehran, Iran. The annual cooling and heating energy needs of the buildings were estimated to be 8.7...
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Fronts propagating into an unstable background state are an important class of solutions to the cubic complex Ginzburg-Landau equation. Applications of such solutions include the Taylor-Couette system in the presence of through flow and chemical systems such as the Belousov-Zhabotinskii reaction. Plane waves are the typical behavior behind such fronts. However, when the relevant plane-wave solu...
متن کاملStability of Plane Wave Solutions in Complex Ginzburg-Landau Equation with Delayed Feedback
We perform bifurcation analysis of plane wave solutions in a one-dimensional complex cubic-quintic Ginzburg–Landau equation with delayed feedback. Our study reveals how multistability and snaking behavior of plane waves emerge as time delay is introduced. For intermediate values of the delay, bifurcation diagrams are obtained by a combination of analytical and numerical methods. For large delay...
متن کاملFormalizing Complex Plane Geometry
Deep connections between complex numbers and geometry had been well known and carefully studied centuries ago. Fundamental objects that are investigated are the complex plane (usually extended by a single infinite point), its objects (points, lines and circles), and groups of transformations that act on them (e.g., inversions and Möbius transformations). In this paper we treat the geometry of c...
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ژورنال
عنوان ژورنال: International Journal of Applied Physics
سال: 2014
ISSN: 2350-0301
DOI: 10.14445/23500301/ijap-v1i2p101