منابع مشابه
1 Hopf - Turing mixed mode and pattern selection in reaction diffusion systems
The amplitude equation of Gierer-Mainhardt model has been actually derived near the boundary abuot which Turing and Hopf modes exist. In a parameter region where Hopf-Turing mixed mode solution is stable, a chaotic state that generally results from interaction between mixed modes, is observed. This chaotic region follows a strong selection of a spatially periodic order followed by a local, reso...
متن کاملImproved Realization of Mixed-Mode Chaotic Circuit
An improved realization of mixed-mode chaotic circuit which has both autonomous and nonautonomous chaotic dynamics is proposed. Central to this study is inductorless realization of mixed-mode chaotic circuit using FTFN-based inductance simulator. FTFN-based topology used in this realization enables the simulation of ideal floating and grounded inductance. This modification provides an alternati...
متن کاملForced patterns near a Turing-Hopf bifurcation.
We study time-periodic forcing of spatially extended patterns near a Turing-Hopf bifurcation point. A symmetry-based normal form analysis yields several predictions, including that (i) weak forcing near the intrinsic Hopf frequency enhances or suppresses the Turing amplitude by an amount that scales quadratically with the forcing strength, and (ii) the strongest effect is seen for forcing that ...
متن کاملDynamic quasicrystalline patterns: wave-mode-turing-mode resonance with turing-mode self-interaction
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.
متن کاملOn hopf bifurcation of Liu chaotic system
Since the pioneering work of Lorenz [1] and Rössler [2], it has been known that chaos can occur in systems of autonomous ordinary differential equations with as few as three variables and one or two quadratic nonlinearities. Many other chaotic systems have been discovered over the last years [3–7]. There have been extensive investigations on dynamical behaviors of these chaotic systems [8–14]. ...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1993
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.48.r4191