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Closed orbits of (G,τ)-extension of ergodic toral automorphisms

, 235 - 248 . MOHD. SALMI MD. NOORANI: School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia , 43600 UKM, Bangi, Selangor Darul Ehsan, Malaysia Volume 2014

Construction and solitary wave solutions of two-mode higher-order Boussinesq-Burger system

A new nonlinear partial differential system called two-mode higher-order Boussinesq-Burgers system is established. We aim to use the simplified bilinear method to find the necessary constraint conditions that guarantee the existence of both regular and singular multiple soliton solutions of the model. To study the correctness of the obtained results, we use the hyperbolic-tangent...

Construction and solitary wave solutions of two-mode higher-order Boussinesq-Burger system

A new nonlinear partial differential system called two-mode higher-order Boussinesq-Burgers system is established. We aim to use the simplified bilinear method to find the necessary constraint conditions that guarantee the existence of both regular and singular multiple soliton solutions of the model. To study the correctness of the obtained results, we use the hyperbolic-tangent...

Construction and solitary wave solutions of two-mode higher-order Boussinesq-Burger system

A new nonlinear partial differential system called two-mode higher-order Boussinesq-Burgers system is established. We aim to use the simplified bilinear method to find the necessary constraint conditions that guarantee the existence of both regular and singular multiple soliton solutions of the model. To study the correctness of the obtained results, we use the hyperbolic-tangent...

Construction and solitary wave solutions of two-mode higher-order Boussinesq-Burger system

A new nonlinear partial differential system called two-mode higher-order Boussinesq-Burgers system is established. We aim to use the simplified bilinear method to find the necessary constraint conditions that guarantee the existence of both regular and singular multiple soliton solutions of the model. To study the correctness of the obtained results, we use the hyperbolic-tangent...

Construction and solitary wave solutions of two-mode higher-order Boussinesq-Burger system

A new nonlinear partial differential system called two-mode higher-order Boussinesq-Burgers system is established. We aim to use the simplified bilinear method to find the necessary constraint conditions that guarantee the existence of both regular and singular multiple soliton solutions of the model. To study the correctness of the obtained results, we use the hyperbolic-tangent...

Counting Closed Orbits for the Dyck Shift

The prime orbit theorem and Mertens’ theorem are proved for a shift dynamical system of infinite type called the Dyck shift. Different and more direct methods are used in the proof without any complicated theoretical discussion.

Counting Closed Orbits for the Dyck Shift

The prime orbit theorem and Mertens’ theorem are proved for a shift dynamical system of infinite type called the Dyck shift. Different and more direct methods are used in the proof without any complicated theoretical discussion.

Common fixed-point results for generalized Berinde-type contractions which involve altering distance functions

Fawzia Shaddad 0 Mohd Salmi Md Noorani 0 Saud M Alsulami 1 0 School of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia , UKM, Bangi, Selangor Darul Ehsan

Coupled point results in partially ordered metric spaces without compatibility

The existence of fixed points, coupled fixed points, and coupled coincidence points without the assumption of compatibility is established. The results presented in this paper extend, improve, and generalize some well-known results in the literature. Also, an example is given to show that our results are real generalizations of known ones in coupled coincidence fixed point theory...

On Critical Circle Homeomorphisms with Infinite Number of Break Points

We prove that a critical circle homeomorphism with infinite number of break points without periodic orbits is conjugated to the linear rotation by a quasisymmetric map if and only if its rotation number is of bounded type. And we also prove that any two adjacent atoms of dynamical partition of a unit circle are comparable.

On Critical Circle Homeomorphisms with Infinite Number of Break Points

We prove that a critical circle homeomorphism with infinite number of break points without periodic orbits is conjugated to the linear rotation by a quasisymmetric map if and only if its rotation number is of bounded type. And we also prove that any two adjacent atoms of dynamical partition of a unit circle are comparable.

Analysis of a New Quadratic 3D Chaotic Attractor

February 2013; Revised 10 April 2013; Accepted 28 April 2013 Academic Editor: Antonio Suárez Copyright © 2013 Shahed Vahedi and Mohd Salmi Md Noorani. This is an open access article distributed under the

Fixed Point Results in Quasi-Cone Metric Spaces

Bangi, Selangor, Malaysia Received 23 November 2012; Accepted 22 February 2013 Academic Editor: Douglas Anderson Copyright © 2013 Fawzia Shaddad and Mohd Salmi Md Noorani. This is an open access

Fixed Point Results in Quasi-Cone Metric Spaces

Bangi, Selangor, Malaysia Received 23 November 2012; Accepted 22 February 2013 Academic Editor: Douglas Anderson Copyright © 2013 Fawzia Shaddad and Mohd Salmi Md Noorani. This is an open access

Fixed Point and Common Fixed Point Theorems on Ordered Cone b-Metric Spaces

Abusalim and Mohd Salmi Md Noorani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium

On Absolute Continuity of Conjugations between Circle Maps with Break Points

; Accepted 23 October 2012 Academic Editor: Ivanka Stamova Copyright © 2012 Habibulla Akhadkulov and Mohd Salmi Md Noorani. This is an open access article distributed under the Creative Commons Attribution

On Absolute Continuity of Conjugations between Circle Maps with Break Points

; Accepted 23 October 2012 Academic Editor: Ivanka Stamova Copyright © 2012 Habibulla Akhadkulov and Mohd Salmi Md Noorani. This is an open access article distributed under the Creative Commons Attribution

Oscillation theorems for second order nonlinear forced differential equations

In this paper, a class of second order forced nonlinear differential equation is considered and several new oscillation theorems are obtained. Our results generalize and improve those known ones in the literature.

Set of Oscillation Criteria for Second Order Nonlinear Forced Differential Equations with Damping

By employing a generalized Riccati technique and an integral averaging technique, some new oscillation criteria are established for the second order nonlinear forced differential equation with damping. These results extend, improve, and unify some known oscillation criteria in the existing literature.