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Viet-thanh Pham - One of the best experts on this subject based on the ideXlab platform.

  • A Chaotic System with Two Stable Equilibrium Points: Dynamics, Circuit Realization and Communication Application
    International Journal of Bifurcation and Chaos, 2017
    Co-Authors: Xiong Wang, Viet-thanh Pham, Akif Akgul, Serdar Çiçek, Duy Vo Hoang
    Abstract:

    Recent evidence suggests that a system with only stable equilibria can generate chaotic behavior. In this work, we study a chaotic system with two stable equilibrium points. The dynamics of the system is investigated via phase portrait, bifurcation diagram and Lyapunov exponents. The feasibility of the system is introducing its electronic Realization. Moreover, the chaotic system is used in Symmetric Chaos Shift Keying (SCSK) and Chaotic ON-OFF Keying (COOK) modulated communication designs for secure communication. It is determined that the SCSK modulated communication system implemented with the chaotic system is more successful than COOK modulation for secure communication.

  • dynamics and Circuit Realization of a no equilibrium chaotic system with a boostable variable
    Aeu-international Journal of Electronics and Communications, 2017
    Co-Authors: Viet-thanh Pham, Akif Akgul, Christos Volos, Sajad Jafari, Tomasz Kapitaniak
    Abstract:

    Abstract Recent evidence suggests that there exists chaos in a few no-equilibrium systems. A chaotic system without equilibrium is proposed and studied in this work. It is worth noting that due to the absence of equilibrium, such a system belongs to a class of systems with hidden attractor. Dynamics properties and the feasibility of the system are investigated by using numerical simulations and Circuit implementation. Interestingly, this no-equilibrium system has one variable with the freedom of offset boosting.

  • dynamics Circuit Realization control and synchronization of a hyperchaotic hyperjerk system with coexisting attractors
    Nonlinear Dynamics, 2017
    Co-Authors: X R Wang, Viet-thanh Pham, Christos Volos, Sundarapandian Vaidyanathan, Tomasz Kapitaniak
    Abstract:

    Although different hyperjerk systems have been discovered, a few hyperjerk systems can exhibit hyperchaotic behavior. In this work, we introduce a new hyperjerk system with hyperchaotic attractors. By investigating dynamics of the system, we have observed the different coexisting attractors such as coexistence of period-2 attractors, or coexistence of period-2 attractor and quasiperiodic attractor. It is worth noting that this striking phenomenon is rarely reported in a hyperjerk system. The proposed system has been realized with electronic components. The agreement between the simulation and experimental results indicates the feasibility of the hyperjerk system. Moreover, chaos control and synchronization of such hyperjerk system have been also reported.

  • bifurcation analysis and Circuit Realization for multiple delayed wang chen system with hidden chaotic attractors
    Nonlinear Dynamics, 2016
    Co-Authors: Zhouchao Wei, Viet-thanh Pham, Tomasz Kapitaniak, Zhen Wang
    Abstract:

    In this paper, we investigate the effect of multiple delays on the 3-D simple chaotic system with hidden chaotic attractors coexisting with one stable equilibrium by Wang and Chen. In order to investigate complex dynamics of hidden chaotic attractors with multiple delays, we choose \(\tau _1\) and \(\tau _2\) as bifurcating parameters and consider the stability of equilibrium and the existence of Hopf bifurcations. Some explicit formulas for determining the direction of bifurcations and the stability of bifurcating periodic solutions are obtained by using normal form theory and center manifold theory. The numerical simulations are performed to support the correctness and effectiveness of the analytical results. The effect of multiple delays can be applied to the chaotic system only with one stable node-foci for the purpose of control and anti-control of hidden chaos by delayed switchover. Furthermore, to reach deep and clear understanding of the dynamics of such hidden attractors, Circuit implementation of the multiple time-delay system is analyzed using the PSpice.

  • constructing a novel no equilibrium chaotic system
    International Journal of Bifurcation and Chaos, 2014
    Co-Authors: Viet-thanh Pham, Christos Volos, Sajad Jafari, Zhouchao Wei, Xiong Wang
    Abstract:

    This paper introduces a new no-equilibrium chaotic system that is constructed by adding a tiny perturbation to a simple chaotic flow having a line equilibrium. The dynamics of the proposed system are investigated through Lyapunov exponents, bifurcation diagram, Poincare map and period-doubling route to chaos. A Circuit Realization is also represented. Moreover, two other new chaotic systems without equilibria are also proposed by applying the presented methodology.

G Antoniou - One of the best experts on this subject based on the ideXlab platform.

Tomasz Kapitaniak - One of the best experts on this subject based on the ideXlab platform.

  • dynamics and Circuit Realization of a no equilibrium chaotic system with a boostable variable
    Aeu-international Journal of Electronics and Communications, 2017
    Co-Authors: Viet-thanh Pham, Akif Akgul, Christos Volos, Sajad Jafari, Tomasz Kapitaniak
    Abstract:

    Abstract Recent evidence suggests that there exists chaos in a few no-equilibrium systems. A chaotic system without equilibrium is proposed and studied in this work. It is worth noting that due to the absence of equilibrium, such a system belongs to a class of systems with hidden attractor. Dynamics properties and the feasibility of the system are investigated by using numerical simulations and Circuit implementation. Interestingly, this no-equilibrium system has one variable with the freedom of offset boosting.

  • dynamics Circuit Realization control and synchronization of a hyperchaotic hyperjerk system with coexisting attractors
    Nonlinear Dynamics, 2017
    Co-Authors: X R Wang, Viet-thanh Pham, Christos Volos, Sundarapandian Vaidyanathan, Tomasz Kapitaniak
    Abstract:

    Although different hyperjerk systems have been discovered, a few hyperjerk systems can exhibit hyperchaotic behavior. In this work, we introduce a new hyperjerk system with hyperchaotic attractors. By investigating dynamics of the system, we have observed the different coexisting attractors such as coexistence of period-2 attractors, or coexistence of period-2 attractor and quasiperiodic attractor. It is worth noting that this striking phenomenon is rarely reported in a hyperjerk system. The proposed system has been realized with electronic components. The agreement between the simulation and experimental results indicates the feasibility of the hyperjerk system. Moreover, chaos control and synchronization of such hyperjerk system have been also reported.

  • bifurcation analysis and Circuit Realization for multiple delayed wang chen system with hidden chaotic attractors
    Nonlinear Dynamics, 2016
    Co-Authors: Zhouchao Wei, Viet-thanh Pham, Tomasz Kapitaniak, Zhen Wang
    Abstract:

    In this paper, we investigate the effect of multiple delays on the 3-D simple chaotic system with hidden chaotic attractors coexisting with one stable equilibrium by Wang and Chen. In order to investigate complex dynamics of hidden chaotic attractors with multiple delays, we choose \(\tau _1\) and \(\tau _2\) as bifurcating parameters and consider the stability of equilibrium and the existence of Hopf bifurcations. Some explicit formulas for determining the direction of bifurcations and the stability of bifurcating periodic solutions are obtained by using normal form theory and center manifold theory. The numerical simulations are performed to support the correctness and effectiveness of the analytical results. The effect of multiple delays can be applied to the chaotic system only with one stable node-foci for the purpose of control and anti-control of hidden chaos by delayed switchover. Furthermore, to reach deep and clear understanding of the dynamics of such hidden attractors, Circuit implementation of the multiple time-delay system is analyzed using the PSpice.

Susmita Surkolay - One of the best experts on this subject based on the ideXlab platform.

  • quantum error correcting code for ternary logic
    Physical Review A, 2018
    Co-Authors: Ritajit Majumdar, Saikat Basu, Shibashis Ghosh, Susmita Surkolay
    Abstract:

    Ternary quantum systems are being studied because these provide more computational state space per unit of information, known as qutrit. A qutrit has three basis states, thus a qubit may be considered as a special case of a qutrit where the coefficient of one of the basis states is zero. Hence both $(2 \times 2)$-dimensional as well as $(3 \times 3)$-dimensional Pauli errors can occur on qutrits. In this paper, we (i) explore the possible $(2 \times 2)$-dimensional as well as $(3 \times 3)$-dimensional Pauli errors in qutrits and show that any pairwise bit swap error can be expressed as a linear combination of shift errors and phase errors, (ii) propose a new type of error called quantum superposition error and show its equivalence to arbitrary rotation, (iii) formulate a nine qutrit code which can correct a single error in a qutrit, and (iv) provide its stabilizer and Circuit Realization.

  • quantum error correcting code for ternary logic
    Physical Review A, 2018
    Co-Authors: Ritajit Majumdar, Saikat Basu, Shibashis Ghosh, Susmita Surkolay
    Abstract:

    Ternary quantum systems are being studied because they provide more computational state space per unit of information, known as qutrit. A qutrit has three basis states, thus a qubit may be considered as a special case of a qutrit where the coefficient of one of the basis states is zero. Hence both $(2\ifmmode\times\else\texttimes\fi{}2)$-dimensional and $(3\ifmmode\times\else\texttimes\fi{}3)$-dimensional Pauli errors can occur on qutrits. In this paper, we (i) explore the possible $(2\ifmmode\times\else\texttimes\fi{}2)$-dimensional as well as $(3\ifmmode\times\else\texttimes\fi{}3)$-dimensional Pauli errors in qutrits and show that any pairwise bit swap error can be expressed as a linear combination of shift errors and phase errors, (ii) propose a special type of error called a quantum superposition error and show its equivalence to arbitrary rotation, (iii) formulate a nine-qutrit code which can correct a single error in a qutrit, and (iv) provide its stabilizer and Circuit Realization.

Motohiko Ezawa - One of the best experts on this subject based on the ideXlab platform.

  • topological euler insulators and their electric Circuit Realization
    Physical Review B, 2021
    Co-Authors: Motohiko Ezawa
    Abstract:

    The Euler number is a topological number recently debuted in the topological physics. It is defined for a set of bands unlike the Chern number defined for a single band. We propose a simple model realizing the topological Euler insulator. We utilize the fact that the Euler number in a three-band model in two dimensions is reduced to the Pontryagin number. A skyrmion structure appears in momentum phase, yielding a nontrivial Euler number. Topological edge states emerge when the Euler number is nonzero. We discuss how to realize this model in electric Circuits. We show that topological edge states are well signaled by impedance resonances.

  • non hermitian higher order topological states in nonreciprocal and reciprocal systems with their electric Circuit Realization
    Physical Review B, 2019
    Co-Authors: Motohiko Ezawa
    Abstract:

    Nonreciprocal non-Hermitian higher-order topological skin states are realized in $L\phantom{\rule{0}{0ex}}C$ electric Circuits with diodes. Here, the authors give examples with rhombus geometry of the nonreciprocal honeycomb system and rhombohedron geometry of the diamond lattice system. In the accompanying image, red balls represent zero-energy topological corner states.