On the Structure of the Set of Difference Systems Defining
نویسنده
چکیده
The (2, F) generalized Fibonacci sequences were defined in [1] and [2]. In [3] K. Atanassov extended the definition to the case of three sequences and listed thirty-six systems defining the (3, F) generalized Fibonacci sequences. Ten of these thirty-six systems were discarded as trivial and the remaining twenty-six were placed in seven classes termed "groups." In this paper the structure of the systems of three second-order difference equations defining the (3, F) generalized Fibonacci sequences is developed. This development is based on the following definitions of the permutations on the letters a, b, and c:
منابع مشابه
Output Consensus Control of Nonlinear Non-minimum Phase Multi-agent Systems Using Output Redefinition Method
This paper concerns the problem of output consensus in nonlinear non-minimum phase systems. The main contribution of the paper is to guarantee achieving consensus in the presence of unstable zero dynamics. To achieve this goal, an output redefinition method is proposed. The new outputs of agents are functions of original outputs and internal states and defined such that the dynamics of agents a...
متن کاملMass Participation Factor in Defining Non-classical Range of Behavior for Mass Isolated Systems
The new techniques in seismic design of structures are usually attributed to high damping ratios. In such systems, the assumption of classical (i.e. proportional) damping is not valid and in most cases they should be considered as Non-classical systems. Since the analytical tools for studying the behavior of such structures are not easily available, the present work attempts to find the limits,...
متن کاملfinding the defining hyperplanes of production possibility set with variable returns to scale using the linear independent vectors
The Production Possibility Set (PPS) is defined as the set of all inputs and outputs of a system in which inputs can produce outputs. In Data Envelopment Analysis (DEA), it is highly important to identify the defining hyperplanes and especially the strong defining hyperplanes of the empirical PPS. Although DEA models can determine the efficiency of a Decision Making Unit (DMU), but they...
متن کاملMass Participation Factor in Defining Non-classical Range of Behavior for Mass Isolated Systems
The new techniques in seismic design of structures are usually attributed to high damping ratios. In such systems, the assumption of classical (i.e. proportional) damping is not valid and in most cases they should be considered as Non-classical systems. Since the analytical tools for studying the behavior of such structures are not easily available, the present work attempts to find the limits,...
متن کاملUNIFORM AND SEMI-UNIFORM TOPOLOGY ON GENERAL FUZZY AUTOMATA
In this paper, we dene the concepts of compatibility between twofuzzy subsets on Q, the set of states of a max- min general fuzzy automatonand transitivity in a max-min general fuzzy automaton. We then construct auniform structure on Q, and dene a topology on it. We also dene the conceptof semi-uniform structures on a nonempty set X and construct a semi-uniformstructure on the set of states of ...
متن کامل