Dynamic quasicrystalline patterns: wave-mode-turing-mode resonance with turing-mode self-interaction

نویسندگان

  • Musslimani
  • Pismen
چکیده

We study perturbatively the effect of resonant Turing-mode interactions on the slow time evolution of quasicrystalline patterns sustained by resonant interaction between wave and static composite modes. We find that stabilization of quasicrystalline patterns by quadratic wave-mode-Turing-mode interactions is possible even under the action of weak destabilizing Turing-mode self-interactions.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Resonant two-dimensional patterns in optical cavities with a rotated beam

We describe selection and dynamics of transverse patterns in a nonlinear feedback cavity with a rotated beam. The symmetry of the patterns, described by composite modes, is determined by the image rotation angle within the loop. Complex quasicrystalline patterns sustained by resonant interactions arise under conditions when wave and Turing composite modes are excited simultaneously. It is shown...

متن کامل

Quasicrystalline and Dynamic Planforms in Nonlinear Optics

A variety of stationary and wave patterns that show a complicated spatial structure but are ordered in the Fourier space can be constructed by considering interaction of noncollinear modes near a symmetry breaking bifurcation point. The planform selection is particularly rich in the presence of resonant (phase-dependent) interactions among degenerate modes. We consider the problem of pattern se...

متن کامل

SPATIOTEMPORAL DYNAMIC OF TOXIN PRODUCING PHYTOPLANKTON (TPP)-ZOOPLANKTON INTERACTION

The present paper deals with a toxin producing phytoplankton (TPP)-zooplankton interaction in spatial environment in thecontext of phytoplankton bloom. In the absence of diffusion the stability of the given system in terms of co-existence and hopf bifurcation has been discussed. After that TPP-zooplankton interaction is considered in spatiotemporal domain by assuming self diffusion in both popu...

متن کامل

A Study of Bit Condition for Generation Rx -Mode Waves: Interaction of Particles with Z/UH-Mode Waves

Interactions of charge particles with electromagnetic waves have important effects (linear and nonlinear) on the propagation of electromagnetic waves, and it can somewhat play a role in generation of the new mode waves. Besides, the particle energies can play an important role in causing instability in plasma. The values of parallel energy of the particles have been calculated so that they can ...

متن کامل

Entrainment and Modulation of Turing Patterns under Spatiotemporal Forcing

We examine the time-evolutional behavior of self-organized Turing patterns under spatiotemporal forcing in one-dimensional systems. Based on the model equations, we apply a space-time-dependent external force. The entrainment and modulation of time-evolutional patterns are investigated numerically in one dimension. We develop a theoretical analysis to understand the obtained dynamics, and conje...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

دوره 62 1 Pt A  شماره 

صفحات  -

تاریخ انتشار 2000