Viet–Thanh Pham

Ton Duc Thang University

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Christos Volos

Aristotle University of Thessaloniki

Sajad Jafari

Amirkabir University of Technology

Sundarapandian Vaıdyanathan

Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology

Tomasz Kapitaniak

Lodz University of Technology

Karthikeyan Rajagopal

Chandigarh University

I. N. Stouboulos

Aristotle University of Thessaloniki

Xiong Wang

Fudan University

Sifeu Takougang Kingni

University of Maroua

Giuseppe Grassi

University of Salento

Adel Ouannas

Larbi Ben M'hidi University of Oum El Bouaghi

Cooperative Institutions

Amirkabir University of Technology

Ton Duc Thang University

Aristotle University of Thessaloniki

Hanoi University of Science and Technology

Université Larbi Tébessi

Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology

King Abdulaziz University

Chennai Mathematical Institute

Université de Dschang

Sakarya University

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A modified simple chaotic hyperjerk circuit: coexisting bubbles of bifurcation and mixed-mode bursting oscillations

Zeitschrift für Naturforschung A (2020)

Gervais Dolvis Leutcho Jacques Kengne Alexis Ngoumkam Negou T. Fonzin Fozin Viet–Thanh Pham

Abstract A relatively simple chaotic hyperjerk circuit, which is the modified chaotic hyperjerk system [Dalkiran and Sprott, IJBC 2016] is proposed and investigated in this paper. Only one semiconductor diode modelled the nonlinear function capable of rich and complex dynamical behaviours of the system. We investigate a new kind of behaviours name “bubbles of bifurcation’’ (referred as BsB hereafter) observed here for the first time in the hyperjerk system. An interesting phenomenon of mixed-mode bursting oscillations (MMBOs) is also investigated. The complex dynamics of the novel oscillator (such as MMBOs, BsB, offset boosting and multistability) with respect to its parameters and initial conditions are uncovered using bifurcation diagrams, Lyapunov exponents (LE) and phase portraits. As another interesting property of this circuit, some parameter regions are determined for the existence of coexisting BsB and the coexistence of asymmetric mixed-mode bursting oscillations. Let us emphasized that the complex phenomena observed in this work is very rare in the literature and henceforth merit dissemination. Finally, a physical circuit is constructed to demonstrate some experimental observation of MMBOs.

Multistability

Bursting

Phase portrait

Complex dynamics

10.1515/zna-2020-0022

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Citations (6)

Analysis, Control and Circuit Simulation of a Novel 3-D Finance Chaotic System

Studies in computational intelligence (2016)

Sundarapandian Vaıdyanathan Christos Volos O. I. Tacha I. Μ. Kyprianidis I. N. Stouboulos

Equilibrium point

Phase portrait

Saddle

10.1007/978-3-319-30279-9_21

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Citations (10)

The First Experimental Evidence of Chaos from a Nonlinear Circuit with a Real Memristor

Christos Volos Hector E. Nistazakis Viet–Thanh Pham I. N. Stouboulos

In this work, chaos is experimentally observed from a circuit, in which the nonlinear element is a real memristor. To the best of our knowledge, this is the first nonlinear circuit with a commercially available memristor (KNOWM memristor), which has been implemented in order to experimentally investigate chaos and phenomena related with it, such as a route to chaos via period-doubling, one-scroll and the well-known double-scroll chaotic attractors.

Memristor

Chua's circuit

Memistor

10.1109/mocast49295.2020.9200269

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Citations (9)

Three-Dimensional Chaotic Autonomous System with a Circular Equilibrium: Analysis, Circuit Implementation and Its Fractional-Order Form

Circuits Systems and Signal Processing (2016)

Sifeu Takougang Kingni Viet–Thanh Pham Sajad Jafari Guy Richard Kol P. Woafo

Phase portrait

10.1007/s00034-016-0259-x

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Citations (82)

Circuit realization of a fractional-order chaotic jerk system

Christos Volos I. N. Stouboulos Ioannis K. Kyprianidis Viet–Thanh Pham Jesús M. Muñoz‐Pacheco

In this paper, the analysis, design and circuit synthesis of a fractional-order form of a chaotic jerk system is presented. The proposed system is one of the simplest member of the jerk system's family, because it has the least number of terms, one of which is the unique nonlinear term of the system. For the first time, the hyperbolic sine term is used as a nonlinear term in this kind of jerk systems, which can be easily realized with two antiparallel diodes. Simulation results by using phase portraits and Lyapunov exponents confirm the expected system's chaotic behavior. Moreover, the electronic circuit for the evaluation of the theoretical model of the proposed fractional-order system is presented.

Jerk

Phase portrait

Realization (probability)

Sine

10.1109/mocast.2017.7937627

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Citations (1)

Development of an Adaptive Sliding Mode Controller using Neural Networks for Trajectory Tracking of a Cylindrical Manipulator

Engineering and Technology Journal (2024)

TieuNien Le Viet–Thanh Pham Nga Thi‐Thuy Vu

Cylindrical manipulators are extensively used in industrial automation, especially in emerging technologies like 3D printing, which represents a significant future trend. However, controlling the trajectory of nonlinear models with system uncertainties remains a critical challenge, often leading to reduced accuracy and reliability. To address this, the study develops an Adaptive Sliding Mode Controller (ASMC) integrated with Neural Networks (NNs) to improve trajectory tracking for cylindrical manipulators. The ASMC leverages the robustness of sliding mode control and the adaptability of neural networks to handle uncertainties and dynamic variations effectively. Simulation results validate that the proposed ASMC-NN achieves high trajectory tracking accuracy, fast response time, and enhanced reliability, making it a promising solution for applications in 3D printing and beyond.

Manipulator (device)

Mode (computer interface)

Tracking (education)

10.47191/etj/v9i12.08

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Citations (0)

Fractional-order biological system: chaos, multistability and coexisting attractors

The European Physical Journal Special Topics (2021)

Nadjette Debbouche Adel Ouannas Shaher Momani Donato Cafagna Viet–Thanh Pham

Multistability

Phase portrait

10.1140/epjs/s11734-021-00308-5

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Citations (14)

Q-S Chaos Synchronization Between Fractional-Order Master and Integer-Order Slave Systems

2022 19th International Multi-Conference on Systems, Signals & Devices (SSD) (2018)

Adel Ouannas Viet–Thanh Pham Salem Abdelmalek Toufik Ziar Olfa Boubaker

In this paper, the problem of chaos Q-S synchronization between different dimensional fractional-order master system and integer-order slave system is investigated. By using the stability theory of linear integer-order dynamical systems and Lyapunov stabiltity theory, we have obtained results to achieve Q-S synchronization between n dimensional fractional-order master system and m- dimensional integer-order slave system in different dimensions. Numerical examples are used to show the effectiveness of the proposed approaches.

Lyapunov stability

10.1109/ssd.2018.8570389

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Citations (0)

A novel secure communications scheme based on chaotic modulation, recursive encryption and chaotic masking

Alexandria Engineering Journal (2020)

Adel Ouannas Abdulrahman Karouma Giuseppe Grassi Viet–Thanh Pham Van Su Luong

The aim of this paper is to propose a new secure communications approach, obtained by combining into one scheme chaotic modulation, recursive encryption and chaotic masking. The objective is achieved by designing control laws to synchronize two hyperchaotic Lorenz systems with encrypted states via a backstepping technique. The encryption process relies on a Unified chaotic system, driven by the hyperchaotic Lorenz system, as well as on a recursive encryption algorithm that exploits an n-fold composition of an invertible function. A novel theorem is proved, which assures that the transmitted message is recovered at the receiver side by virtue of the synchronization of the two Lorenz systems via backstepping design. Numerical simulations are carried out using image and text as transmitted signals, with the aim to show the effectiveness of the conceived chaos-based encryption scheme.

Secure Communication

Lorenz system

10.1016/j.aej.2020.11.035

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Citations (54)

Hyperchaos, adaptive control and synchronization of a novel 5-D hyperchaotic system with three positive Lyapunov exponents and its SPICE implementation

Archives of Control Sciences (2014)

Sundarapandian Vaıdyanathan Christos Volos Viet–Thanh Pham

Abstract In this research work, a twelve-term novel 5-D hyperchaotic Lorenz system with three quadratic nonlinearities has been derived by adding a feedback control to a ten-term 4-D hyperchaotic Lorenz system (Jia, 2007) with three quadratic nonlinearities. The 4-D hyperchaotic Lorenz system (Jia, 2007) has the Lyapunov exponents L 1 = 0.3684,L 2 = 0.2174,L 3 = 0 and L 4 =−12.9513, and the Kaplan-Yorke dimension of this 4-D system is found as DKY =3.0452. The 5-D novel hyperchaotic Lorenz system proposed in this work has the Lyapunov exponents L 1 = 0.4195,L 2 = 0.2430,L 3 = 0.0145,L 4 = 0 and L 5 = −13.0405, and the Kaplan-Yorke dimension of this 5-D system is found as DKY =4.0159. Thus, the novel 5-D hyperchaotic Lorenz system has a maximal Lyapunov exponent (MLE), which is greater than the maximal Lyapunov exponent (MLE) of the 4-D hyperchaotic Lorenz system. The 5-D novel hyperchaotic Lorenz system has a unique equilibrium point at the origin, which is a saddle-point and hence unstable. Next, an adaptive controller is designed to stabilize the novel 5-D hyperchaotic Lorenz system with unknown system parameters. Moreover, an adaptive controller is designed to achieve global hyperchaos synchronization of the identical novel 5-D hyperchaotic Lorenz systems with unknown system parameters. Finally, an electronic circuit realization of the novel 5-D hyperchaotic Lorenz system using SPICE is described in detail to confirm the feasibility of the theoretical model.

Lorenz system

Equilibrium point

10.2478/acsc-2014-0023

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Citations (123)