Inducing periodicity in lattices of chaotic maps with advection
نویسندگان
چکیده
We investigate a lattice of coupled logistic maps where, in addition to the usual diffusive coupling, an advection term parameterized by an asymmetry in the coupling is introduced. The advection term induces periodic behavior on a significant number of non-periodic solutions of the purely diffusive case. Our results are based on the characteristic exponents for such systems, namely the mean Lyapunov exponent and the co-moving Lyapunov exponent. In addition, we study how to deal with more complex phenomena in which the advective velocity may vary from site to site. In particular, we observe wave-like pulses to appear and disappear intermittently whenever the advection is spatially inhomogeneous. PACS numbers: 89.75.Kd 05.45.Xt, 05.45.Ra Email address: [email protected] Email address: [email protected]
منابع مشابه
Pattern formation in diffusive-advective coupled map lattices.
We investigate pattern formation and evolution in coupled map lattices when advection is incorporated, in addition to the usual diffusive term. All patterns may be suitably grouped into five classes: three periodic, supporting static patterns and traveling waves, and two nonperiodic. Relative frequencies are determined as a function of all model parameters: diffusion, advection, local nonlinear...
متن کاملاثر تناوب بهرهبرداری سقز بر زادآوری طبیعی درختان بنه (مطالعه موردی: جنگلهای بنه استان کردستان، سنندج)
In order to evaluate the impacts of oleo-gum resin extraction periodicity on natural regeneration of wild pistachio (Pistacia atlantica subsp. kurdica), three different forest areas in Kurdistan province, west of Iran, were selected based on difference extraction periodicities (regular periodicity, irregular periodicity and without periodicity). Then homogenous unit maps in GIS produced, and on...
متن کاملChaotic synchronization in lattices of two-variable maps coupled with one variable
In this paper, we study chaotic synchronization in 1D lattices of two-variable maps coupled with one variable. We give a rigourous proof for the occurrence of chaotic synchronization of spatially homogeneous solutions in such coupled map lattices (CMLs) of lattice size n = 4 with suitable coupling coefficients. For the case of lattice size n > 4, we demonstrate numerical results of synchronized...
متن کاملChaos inducement and Enhancement in Two Particular Nonlinear Maps Using Weak Periodic/quasiperiodic Perturbations
Weak periodic perturbation has long been used to suppress chaos in dynamical systems. In this paper, however, we demonstrate that weak periodic or quasiperiodic perturbation can also be used to induce chaos in nonchaotic parameter ranges of chaotic maps, or to enhance the already existing chaotic state. Two kinds of chaotic maps, the period doubling system and the Hopf bifurcation system, are e...
متن کاملPeriodicity of chaotic trajectories of single and coupled maps in realizations of finite computer precisions
A fundamental periodicity problem of chaotic trajectories in computer realization with finite computation precision is investigated systematically by taking single and coupled Logistic maps as examples. Low-dimensional chaotic trajectories have rather short periods even with double precision computation, while the period increases rapidly when the number of coupled maps increases. Empirical exp...
متن کامل