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Papers by WAN NUR FAIRUZ ALWANI WAN ROZALI

Research paper thumbnail of On p-adic generalized logistics dynamical systems

Research paper thumbnail of On ξ^a -quadratic stochastic operators on 2-D simplex = (-quadratik stochastic pengendali di Simplex 2-D)

A quadratic stochastic operator (QSO) is usually used to present the time evolution of differing ... more A quadratic stochastic operator (QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied by Lotka and Volterra. The general problem in the nonlinear operator theory is to study the behavior of operators. This problem was not fully finished even for quadratic stochastic operators which are the simplest nonlinear operators. To study this problem, several classes of QSO were investigated. In this paper, we study the ξ(a)–QSO defined on 2D simplex. We first classify ξ(a)–QSO into 2 non-conjugate classes. Further, we investigate the dynamics of these classes of such operators.

Research paper thumbnail of On exactly solvable phases of models with competing interactions

PROCEEDINGS OF THE 14TH ASIA-PACIFIC PHYSICS CONFERENCE

Research paper thumbnail of On ξa -quadratic stochastic operators on 2-D simplex

A quadratic stochastic operator (QSO) is usually used to present the time evolution of differing ... more A quadratic stochastic operator (QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied by Lotka and Volterra. The general problem in the nonlinear operator theory is to study the behavior of operators. This problem was not fully finished even for quadratic stochastic operators which are the simplest nonlinear operators. To study this problem, several classes of QSO were investigated. In this paper, we study the ξ (a)-QSO defined on 2D simplex. We first classify ξ (a)-QSO into 2 non-conjugate classes. Further, we investigate the dynamics of these classes of such operators.

Research paper thumbnail of On a p-adic Cubic Generalized Logistic Dynamical System

Journal of Physics Conference Series, Apr 26, 2013

Applications of p-adic numbers mathematical physics, quantum mechanics stimulated increasing inte... more Applications of p-adic numbers mathematical physics, quantum mechanics stimulated increasing interest in the study of p-adic dynamical system. One of the interesting investigations is p-adic logistics map. In this paper, we consider a new generalization, namely we study a dynamical system of the form fa(x) = ax(1−x2). The paper is devoted to the investigation of a trajectory of the given system. We investigate the generalized logistic dynamical system with respect to parameter a and we restrict ourselves for the investigation of the case |a|p < 1. We study the existence of the fixed points and their behavior. Moreover, we describe their size of attractors and Siegel discs since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs.

Research paper thumbnail of On p-adic generalized logistic dynamical systems

Applications of p-adic numbers in p-adic mathematical physics, quantum mechanics stimulated incre... more Applications of p-adic numbers in p-adic mathematical physics, quantum mechanics stimulated increasing interest in the study of p-adic dynamical system. One of the interesting p-adic dynamical system is p-adic logistic map. It is known such a mapping is chaotic. In the present paper, we consider its cubic generalization namely we study a dynamical system of the form 2 f (x)  ax(1 x ) . The paper is devoted to the investigation of trajectory of the given system. We investigate the generalized logistic dynamical system with respect to parameter a. For the value of parameter, we consider the case when |a|p < 1. In this case, we study the existence of the fixed points and periodic points for every prime number, p. Not only that, their behavior also being investigated whether such fixed points and periodic points are attracting, repelling or neutral. Moreover, we describe the Siegel discs of the system, since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs.

Research paper thumbnail of On P-adic generalized logistic dynamical system

Applications of p-adic numbers in p-adic mathematical physics, quantum mechanics stimulated incre... more Applications of p-adic numbers in p-adic mathematical physics, quantum mechanics stimulated increasing interest in the study of p-adic dynamical system. One of the interesting p-adic dynamical system is p-adic logistic map. It is known such a mapping is chaotic. In the present paper, we consider its cubic generalization namely we study a dynamical system of the form 2 f (x)  ax(1 x ) . The paper is devoted to the investigation of trajectory of the given system. We investigate the generalized logistic dynamical system with respect to parameter a. For the value of parameter, we consider the case when |a|p < 1. In this case, we study the existence of the fixed points and periodic points for every prime number, p. Not only that, their behavior also being investigated whether such fixed points and periodic points are attracting, repelling or neutral. Moreover, we describe the Siegel discs of the system, since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs.

Research paper thumbnail of On p-adic generalized logistics dynamical systems

Research paper thumbnail of On ξ^a -quadratic stochastic operators on 2-D simplex = (-quadratik stochastic pengendali di Simplex 2-D)

A quadratic stochastic operator (QSO) is usually used to present the time evolution of differing ... more A quadratic stochastic operator (QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied by Lotka and Volterra. The general problem in the nonlinear operator theory is to study the behavior of operators. This problem was not fully finished even for quadratic stochastic operators which are the simplest nonlinear operators. To study this problem, several classes of QSO were investigated. In this paper, we study the ξ(a)–QSO defined on 2D simplex. We first classify ξ(a)–QSO into 2 non-conjugate classes. Further, we investigate the dynamics of these classes of such operators.

Research paper thumbnail of On exactly solvable phases of models with competing interactions

PROCEEDINGS OF THE 14TH ASIA-PACIFIC PHYSICS CONFERENCE

Research paper thumbnail of On ξa -quadratic stochastic operators on 2-D simplex

A quadratic stochastic operator (QSO) is usually used to present the time evolution of differing ... more A quadratic stochastic operator (QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied by Lotka and Volterra. The general problem in the nonlinear operator theory is to study the behavior of operators. This problem was not fully finished even for quadratic stochastic operators which are the simplest nonlinear operators. To study this problem, several classes of QSO were investigated. In this paper, we study the ξ (a)-QSO defined on 2D simplex. We first classify ξ (a)-QSO into 2 non-conjugate classes. Further, we investigate the dynamics of these classes of such operators.

Research paper thumbnail of On a p-adic Cubic Generalized Logistic Dynamical System

Journal of Physics Conference Series, Apr 26, 2013

Applications of p-adic numbers mathematical physics, quantum mechanics stimulated increasing inte... more Applications of p-adic numbers mathematical physics, quantum mechanics stimulated increasing interest in the study of p-adic dynamical system. One of the interesting investigations is p-adic logistics map. In this paper, we consider a new generalization, namely we study a dynamical system of the form fa(x) = ax(1−x2). The paper is devoted to the investigation of a trajectory of the given system. We investigate the generalized logistic dynamical system with respect to parameter a and we restrict ourselves for the investigation of the case |a|p < 1. We study the existence of the fixed points and their behavior. Moreover, we describe their size of attractors and Siegel discs since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs.

Research paper thumbnail of On p-adic generalized logistic dynamical systems

Applications of p-adic numbers in p-adic mathematical physics, quantum mechanics stimulated incre... more Applications of p-adic numbers in p-adic mathematical physics, quantum mechanics stimulated increasing interest in the study of p-adic dynamical system. One of the interesting p-adic dynamical system is p-adic logistic map. It is known such a mapping is chaotic. In the present paper, we consider its cubic generalization namely we study a dynamical system of the form 2 f (x)  ax(1 x ) . The paper is devoted to the investigation of trajectory of the given system. We investigate the generalized logistic dynamical system with respect to parameter a. For the value of parameter, we consider the case when |a|p < 1. In this case, we study the existence of the fixed points and periodic points for every prime number, p. Not only that, their behavior also being investigated whether such fixed points and periodic points are attracting, repelling or neutral. Moreover, we describe the Siegel discs of the system, since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs.

Research paper thumbnail of On P-adic generalized logistic dynamical system

Applications of p-adic numbers in p-adic mathematical physics, quantum mechanics stimulated incre... more Applications of p-adic numbers in p-adic mathematical physics, quantum mechanics stimulated increasing interest in the study of p-adic dynamical system. One of the interesting p-adic dynamical system is p-adic logistic map. It is known such a mapping is chaotic. In the present paper, we consider its cubic generalization namely we study a dynamical system of the form 2 f (x)  ax(1 x ) . The paper is devoted to the investigation of trajectory of the given system. We investigate the generalized logistic dynamical system with respect to parameter a. For the value of parameter, we consider the case when |a|p < 1. In this case, we study the existence of the fixed points and periodic points for every prime number, p. Not only that, their behavior also being investigated whether such fixed points and periodic points are attracting, repelling or neutral. Moreover, we describe the Siegel discs of the system, since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs.