Quantum chaos and dynamical systems

For a non-Hermitian Hamiltonian H possessing a real spectrum, we introduce a canonical orthonormal basis in which a previously introduced unitary mapping of H to a Hermitian Hamiltonian h takes a simple form. We use this basis to construct the observables O α of the quantum mechanics based on H . In particular, we int…

• AHMET BATAL

In this paper a new family of scroll grid attractors is presented. These families are classified into three called 1D-, 2D- and 3D-grid scroll attractors depending on the location of the equilibrium points in state space. The scrolls generated from 1D-, 2D- and 3D-grid scroll attractors are located around the equilibr…

• MÜŞTAK ERHAN YALÇIN

In this paper a new family of scroll grid attractors is presented. These families are classified into three called 1D-, 2D- and 3D-grid scroll attractors depending on the location of the equilibrium points in state space. The scrolls generated from 1D-, 2D- and 3D-grid scroll attractors are located around the equilibr…

• İSMAİL SERDAR ÖZOĞUZ

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Abstract For any n and l values, we present a simple exact analytical solution of the radial Schrödinger equation for the Kratzer potential within the framework of the asymptotic iteration method (AIM). The exact bound‐state energy eigenvalues (Enl) and corresponding eigenfunctions (Rnl) are calculated for various val…

• HAKAN ÇİFTCİ

Abstract For any n and l values, we present a simple exact analytical solution of the radial Schrödinger equation for the Kratzer potential within the framework of the asymptotic iteration method (AIM). The exact bound‐state energy eigenvalues (Enl) and corresponding eigenfunctions (Rnl) are calculated for various val…

• ORHAN BAYRAK

Abstract For any n and l values, we present a simple exact analytical solution of the radial Schrödinger equation for the Kratzer potential within the framework of the asymptotic iteration method (AIM). The exact bound‐state energy eigenvalues (Enl) and corresponding eigenfunctions (Rnl) are calculated for various val…

• İSMAİL BOZTOSUN

We show that the synchronization of chaotic systems can be achieved by using the observer design techniques which are widely used in the control of dynamical systems. We show that local synchronization is possible under relatively mild conditions and global synchronization is possible if the chaotic system can be tran…

We show that the synchronization of chaotic systems can be achieved by using the observer design techniques which are widely used in the control of dynamical systems. We show that local synchronization is possible under relatively mild conditions and global synchronization is possible if the chaotic system can be tran…

• ERCAN SOLAK

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• AYŞE BERKDEMİR

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• HAKAN ÇİFTCİ

In this work we present an experimental confirmation of 3- and 5-scroll attractors from a generalized Chua's circuit. The generalized Chua's circuit introduced by Suykens, Huang, and Chua makes use of a piecewise linear characteristic with multiple breakpoints leading to a more complete family of n-scroll attractors t…

• MÜŞTAK ERHAN YALÇIN