Exponential transient length generated by a neuronal recurrence equation

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Ideals Generated by Exponential-Polynomials

In several problems in Harmonic Analysis, .and in Number Theory as well, lemmas on small values of holomorphic functions play an important role. Let us give first an example from Harmonic Analysis. distributions with compact support in 17% " whose Fourier transforms satisfy, in C " , a lower estimate of the form (0.2) with v, ,..., v, also distributions with compact support 131, 33). In many ex...

متن کامل

Study of All the Periods of a Neuronal Recurrence Equation

We characterize the structure of the periods of a neuronal recurrence equation. Firstly, we give a characterization of k-chains in 0-1 periodic sequences. Secondly, we characterize the periods of all cycles of some neuronal recurrence equation. Thirdly, we explain how these results can be used to deduce the existence of the generalized period-halving bifurcation.

متن کامل

Generalized Period-halving Bifurcation of a Neuronal Recurrence Equation

We study the sequences generated by neuronal recurrence equations of the form x(n) = 1[ ∑h j=1 ajx(n − j) − θ]. From a neuronal recurrence equation of memory size h which describes a cycle of length ρ(m)× lcm(p0, p1, . . . , p−1+ρ(m)), we construct a set of ρ(m) neuronal recurrence equations whose dynamics describe respectively the transient of length O(ρ(m)×lcm(p0, . . . , pd)) and the cycle o...

متن کامل

Period-Halving Bifurcation of a Neuronal Recurrence Equation

The sequences generated by neuronal recurrence equations of the form xHnL ! 1A⁄j!1 h aj xHn jL qE are studied. From a neuronal recurrence equation of memory size h that describes a cycle of length rHmLä lcmIp0, p1, ... , p-1+r HmLM, a set of rHmL neuronal recurrence equations is constructed with dynamics that describe respectively the transient of length OHrHmLä lcmHp0, ... , pdLL and the cycle...

متن کامل

Exponential Period of Neuronal Recurrence Automata with Excitatory Memory

The sequences generated by a neuronal recurrence equation with memory of the form x(n) 1[ h i1 a i x(n i) Θ], where h is the size of the memory, are studied. It is shown that in the case where all the parameters (a i) 1ih are positive reals, there exists a neuronal recurrence equation of memory length h that generates a sequence of period (e 3 h(ln(h)) 2). This result shows that in the case whe...

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

ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2003

ISSN: 0304-3975

DOI: 10.1016/s0304-3975(03)00343-8