The Experts below are selected from a list of 165 Experts worldwide ranked by ideXlab platform
J Kengne - One of the best experts on this subject based on the ideXlab platform.
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dynamical analysis of a new multistable chaotic system with hidden attractor Antimonotonicity coexisting multiple attractors and offset boosting
Physics Letters A, 2019Co-Authors: Atiyeh Bayani, Sajad Jafari, Gervais Dolvis Leutcho, Karthikeyan Rajagopal, Abdul Jalil M Khalaf, J KengneAbstract:Abstract Analyzing chaotic systems with coexisting and hidden attractors has been receiving much attention recently. In this article, we analyze a four dimensional chaotic system which has a plane as the equilibrium points. Also this system is of the group of systems that have coexisting attractors. First, the system is introduced and then stability analysis, bifurcation diagram and Largest Lyapunov exponent of this system are presented as methods to analyze the multistability of the system. These methods reveal that in some ranges of the parameter, this chaotic system has three different types of coexisting attractors, chaotic, stable node and limit cycle. Some interesting dynamics properties such as reversals of period doubling bifurcation and offset boosting are also presented.
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Antimonotonicity chaos quasi periodicity and coexistence of hidden attractors in a new simple 4 d chaotic system with hyperbolic cosine nonlinearity
Chaos Solitons & Fractals, 2019Co-Authors: V Folifack R Signing, J Kengne, J Mboupda R PoneAbstract:Abstract Recently, the study of systems with hidden attractors has become one of the most followed topics owing to their fundamental and technological importance. This contribution is focused on a new simple 4-D chaotic system (whose nonlinearity is a hyperbolic function) inspired by the quadratic system introduced by [Jay and Roy Nonlinear Dyn (2017) 89:1845–1862]. Basic properties of the new system are discussed and its complex behaviors are characterized using dynamic systems analysis tools. This system exhibits a rich repertoire of dynamic behaviors including chaos, chaos 2-torus, and quasi-periodic. Other interesting phenomena such as multistability, Antimonotonicity, and torus-doubling bifurcations are also reported. Moreover, the hyperbolic cosine nonlinearity is easily implemented by using a pair of semiconductor diodes (no analog multiplier is involved). We confirm the feasibility of the proposed theoretical model using PSpice simulations and a physical realization based on an electronic analog implementation of the model.
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complex dynamics of a 4d hopfield neural networks hnns with a nonlinear synaptic weight coexistence of multiple attractors and remerging feigenbaum trees
Aeu-international Journal of Electronics and Communications, 2018Co-Authors: Z T Njitacke, J KengneAbstract:Abstract This contribution investigates the nonlinear dynamics of a model of a 4D Hopfield neural networks (HNNs) with a nonlinear synaptic weight. The investigations show that the proposed HNNs model possesses three equilibrium points (the origin and two nonzero equilibrium points) which are always unstable for the set of synaptic weights matrix used to analyze the equilibria stability. Numerical simulations, carried out in terms of bifurcation diagrams, Lyapunov exponents graph, phase portraits and frequency spectra, are used to highlight the rich and complex phenomena exhibited by the model. These rich nonlinear dynamic behaviors include period doubling bifurcation, chaos, periodic window, Antimonotonicity (i.e. concurrent creation and annihilation of periodic orbits) and coexistence of asymmetric self-excited attractors (e.g. coexistence of two and three disconnected periodic and chaotic attractors). Finally, PSpice simulations are used to confirm the results of the theoretical analysis.
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dynamical analysis of a novel autonomous 4 d hyperjerk circuit with hyperbolic sine nonlinearity chaos Antimonotonicity and a plethora of coexisting attractors
Chaos Solitons & Fractals, 2018Co-Authors: Gervais Dolvis Leutcho, J Kengne, Kamdjeu L KengneAbstract:Abstract In this paper, a novel fourth-order autonomous hyperjerk circuit is proposed and the corresponding dynamics is systematically analyzed. Two anti-parallel semiconductor diodes form the nonlinear component necessary for chaotic oscillations. The mathematical model of the novel circuit consists of a fourth-order (“elegant”) autonomous hyperjerk system with (a single) hyperbolic sine nonlinearity. The fundamental dynamic properties of the model are investigated including fixed points and stability, phase portraits, bifurcation diagrams, and Lyapunov exponent plots. Period-doubling bifurcation, periodic windows, coexisting bifurcations, symmetry recovering crises, and Antimonotonicity (i.e. concurrent creation and annihilation of periodic orbit) are reported when monitoring the systems parameters. One of the main findings in this work is the presence of various windows in the parameter space in which the novel 4D-hyperjerk system develops the interesting property of multiple coexisting attractors (e.g. coexistence of two, three, four, five, six, seven height or nine disconnected periodic and chaotic attractors). To the best of the authors’ knowledge, this striking phenomenon is unique and has not yet been reported previously in a hyperjerk circuit, and thus represents a significant contribution to the understanding of the behavior of nonlinear dynamical systems in general. Laboratory experiments of the oscillator are carried out to verify the theoretical analysis.
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a plethora of coexisting strange attractors in a simple jerk system with hyperbolic tangent nonlinearity
Chaos Solitons & Fractals, 2018Co-Authors: J Kengne, S M Njikam, V Folifack R SigningAbstract:Abstract In the present contribution, the dynamics of a simple autonomous jerk system with hyperbolic tangent nonlinearity is considered. The system consists of a linear transformation of Model MO13 previously introduced in [Sprott, 2010]. The form of nonlinearity is interesting in the sense that with the variation of a control parameter, saturation may be approached gradually obeying hyperbolic tangent function, as in the case of magnetization in ferromagnetic system, non ideal op. amplifier, solar-wind-driven magnetosphere-ionosphere system, and activation function in neural network. The fundamental properties of the model are discussed including equilibria and stability, phase portraits, Poincare sections, bifurcation diagrams and Lyapunov exponents’ spectrum. Period doubling bifurcation, Antimonotonicity (i.e. concurrent creation an annihilation of periodic orbits), chaos, hysteresis, and coexisting bifurcations are reported. As a major outcome of this paper, a window in the parameter space is revealed in which the jerk system experiences the unusual phenomenon of multiple coexisting attractors (i.e. coexistence of two, four or six disconnected periodic and chaotic self excited attractors) resulting from the simultaneous presence of three families of parallel bifurcation branches and hysteresis. To the best of the authors’ knowledge, no example of such a simple and ‘elegant’ 3D autonomous system capable of six different strange attractors is reported in the relevant literature. Some PSpice simulations based on a physical implementation of the system are carried out to support the theoretical analysis.
Ioannis M. Kyprianidis - One of the best experts on this subject based on the ideXlab platform.
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a simple chaotic circuit with a hyperbolic sine function and its use in a sound encryption scheme
Nonlinear Dynamics, 2017Co-Authors: Akif Akgul, Vietthanh Pham, Ioannis N. Stouboulos, Ioannis M. KyprianidisAbstract:In this work, one of the most simple chaotic autonomous circuits, which has been reported in the literature, is presented. The proposed circuit, that belongs to jerk systems family, is described mathematically by a 3-D dynamical system with only five terms, and it has only one nonlinear term, which is the hyperbolic sine term implemented with two antiparallel diodes. This new jerk system presents interesting chaotic phenomena, such as coexisting attractors and Antimonotonicity. Also, as an application of the proposed system a sound encryption scheme that is based on a random number generator, which is implemented with the jerk system, is presented. The practical usefulness of the proposed simple chaotic jerk circuit is confirmed from the results of NIST-800-22 tests of the chaotic random number generator, as well as from the successful sound encryption and decryption process.
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analysis adaptive control and circuit simulation of a novel nonlinear finance system
Applied Mathematics and Computation, 2016Co-Authors: O I Tacha, Ioannis M. Kyprianidis, Ioannis N. Stouboulos, Christos Volos, Sundarapandian Vaidyanathan, Vietthanh PhamAbstract:In the last three decades a growing interest in developing nonlinear dynamical systems for economic models, displaying chaotic behavior has been developed. To this direction, a novel 3-D nonlinear finance chaotic system consisting of two nonlinearities is presented. The dynamical analysis of the proposed system confirms its complex dynamic behavior, which is studied by using well-known simulation tools of nonlinear theory, such as the bifurcation diagram, Lyapunov exponents and phase portraits. Also, some interesting phenomena related with nonlinear theory are observed, such as route to chaos through a period doubling sequence, Antimonotonicity and crisis phenomena. In addition, an interesting scheme of adaptive control of finance system's behavior is presented. Furthermore, the novel nonlinear finance system is emulated by an electronic circuit and its dynamical behavior is studied by using the electronic simulation package Cadence OrCAD in order to confirm the feasibility of the theoretical model.
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Antimonotonicity and bubbles in a 4th order non driven circuit
2015Co-Authors: Ioannis N. Stouboulos, Ioannis M. Kyprianidis, M. S. PapadopoulouAbstract:Abstract:- We have studied an autonomous 4th order circuit, which exhibits sensitive dependence on initial conditions. The circuit contains a non linear resistor RN of N-type. We have observed the dynamics of the non linear circuit for various values of its parameters. A diversity of phenomena has been detected, such as Antimonotonicity, period doubling route to chaos and bubbles. We have seen crisis events, which are seem to lead to the catastrophe of the above phenomena
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Initial Conditions and Coexisting Attractors in an Autonomous Circuit
2015Co-Authors: Ioannis N. Stouboulos, Ioannis M. Kyprianidis, M. S. PapadopoulouAbstract:Abstract:- In this paper we have studied the dynamics of a non driven circuit of fourth-order. The circuit constitutes of two active elements, one linear negative conductance and one non linear resistor exhibiting a symmetrical piecewise linear v-i characteristic. The resistor R1, which couples the negative conductance and the nonlinear element, serves as the control parameter of the system. We have observed formation of “bubbles ” for some initial conditions. In a narrow region of R1 values, we have observed Antimonotonicity, different routes to chaos via period doubling sequences and reverse period doubling and transition from periodic to quasi-periodic and finally to chaos. We have also studied the dependence of circuit’s behavior on initial conditions
M. Kom - One of the best experts on this subject based on the ideXlab platform.
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passive active integrators chaotic oscillator with anti parallel diodes analysis and its chaos based encryption application to protect electrocardiogram signals
Analog Integrated Circuits and Signal Processing, 2020Co-Authors: Justin Roger Mboupda Pone, Serdar Çiçek, Alain Tiedeu, Sifeu Takougang Kingni, M. KomAbstract:An autonomous passive–active integrators oscillator with anti-parallel diodes is proposed and analysed in this paper. It consists of anti-parallel diodes and two main blocks: A second-order passive RLC integrator and a first-order active RC integrator. The existence of two Hopf bifurcations is established during the stability analysis of the unique equilibrium point. For a suitable choice of the circuit parameters, the proposed oscillator can generate periodic oscillations, one-scroll, bistable chaotic attractors and Antimonotonicity. The electronic circuit realization of the proposed oscillator is carried out to confirm results found during the numerical simulations. A good qualitative agreement is illustrated between the numerical simulations and experimental results. In addition, chaos-based encryption application to protect electrocardiogram (ECG) signals for secure transmission of medical information is performed using the proposed oscillator in chaotic regime. The ECG signals are successfully encrypted and the original ECG signal is successfully decrypted from noisy ECG signals.
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Passive–active integrators chaotic oscillator with anti-parallel diodes: analysis and its chaos-based encryption application to protect electrocardiogram signals
Analog Integrated Circuits and Signal Processing, 2019Co-Authors: Justin Roger Mboupda Pone, Serdar Çiçek, Sifeu Takougang Kingni, Alain Tiedeu, M. KomAbstract:An autonomous passive–active integrators oscillator with anti-parallel diodes is proposed and analysed in this paper. It consists of anti-parallel diodes and two main blocks: A second-order passive RLC integrator and a first-order active RC integrator. The existence of two Hopf bifurcations is established during the stability analysis of the unique equilibrium point. For a suitable choice of the circuit parameters, the proposed oscillator can generate periodic oscillations, one-scroll, bistable chaotic attractors and Antimonotonicity. The electronic circuit realization of the proposed oscillator is carried out to confirm results found during the numerical simulations. A good qualitative agreement is illustrated between the numerical simulations and experimental results. In addition, chaos-based encryption application to protect electrocardiogram (ECG) signals for secure transmission of medical information is performed using the proposed oscillator in chaotic regime. The ECG signals are successfully encrypted and the original ECG signal is successfully decrypted from noisy ECG signals.
Justin Roger Mboupda Pone - One of the best experts on this subject based on the ideXlab platform.
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Analysis, circuit realization and controls of an autonomous Morse jerk oscillator
SeMA Journal, 2021Co-Authors: Cyrille Ainamon, Victor Kamdoum Tamba, Justin Roger Mboupda Pone, Sifeu Takougang Kingni, Hubert Boudoue Malwe, Jean Bio Chabi OrouAbstract:In this paper, an autonomous Morse jerk oscillator which is designed by converting an autonomous two-dimensional Morse oscillator to a jerk oscillator, is analysed. The stability of its unique equilibrium point reveals the existence of Hopf bifurcation. Periodic and chaotic oscillations, Antimonotonicity, chaotic bubbles and coexisting attractors are generated in the proposed jerk oscillator. Then, this proposed jerk oscillator is implemented in PSIM software and realized in a printed circuit board to verify the numerical results. The experimental/PSIM results agree well with the numerical simulations. Moreover, it is possible to control partially or totally the amplitude of its signals by introducing two additional parameters in the rate-equations describing the proposed jerk oscillator. Furthermore based on the Routh–Hurwitz conditions and using a single linear feedback controller, the proposed jerk oscillator is controlled to its unique equilibrium point. Finally, the coexistence between periodic and chaotic attractors is destroyed and controlled to a desired trajectory thank to the linear augmentation method.
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passive active integrators chaotic oscillator with anti parallel diodes analysis and its chaos based encryption application to protect electrocardiogram signals
Analog Integrated Circuits and Signal Processing, 2020Co-Authors: Justin Roger Mboupda Pone, Serdar Çiçek, Alain Tiedeu, Sifeu Takougang Kingni, M. KomAbstract:An autonomous passive–active integrators oscillator with anti-parallel diodes is proposed and analysed in this paper. It consists of anti-parallel diodes and two main blocks: A second-order passive RLC integrator and a first-order active RC integrator. The existence of two Hopf bifurcations is established during the stability analysis of the unique equilibrium point. For a suitable choice of the circuit parameters, the proposed oscillator can generate periodic oscillations, one-scroll, bistable chaotic attractors and Antimonotonicity. The electronic circuit realization of the proposed oscillator is carried out to confirm results found during the numerical simulations. A good qualitative agreement is illustrated between the numerical simulations and experimental results. In addition, chaos-based encryption application to protect electrocardiogram (ECG) signals for secure transmission of medical information is performed using the proposed oscillator in chaotic regime. The ECG signals are successfully encrypted and the original ECG signal is successfully decrypted from noisy ECG signals.
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Analysis and electronic implementation of an absolute memristor autonomous Van der Pol-Duffing circuit
'Springer Science and Business Media LLC', 2019Co-Authors: Karthikeyan Rajagopal, Justin Roger Mboupda Pone, Sifeu Takougang Kingni, Sundaram Arun, Anitha KarthikeyanAbstract:In this paper, a memristor-based chaotic circuit is built by replacing the nonlinear resistor of a unified Van der Pol-Duffing circuit by an ideal and active flux-controlled memristor with an absolute value nonlinearity. The equilibrium points of the mathematical model describing the proposed absolute memristor Van der Pol-Duffing circuit are determined and their stabilities are analyzed thank to the Routh-Hurwitz criteria. The numerical simulations reveal that the proposed absolute memristor circuit exhibits reverse period-doubling to chaos, bistable one-scroll chaotic attractors, double-scroll chaotic attractor, bistable periodic attractors and Antimonotonicity phenomenon. Moreover the proposed absolute memristor circuit is implemented in PSIM software package. The results found using the PSIM software package have a good qualitative agreement with those found during the numerical simulations
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Hopf bifurcation, Antimonotonicity and amplitude controls in the chaotic Toda jerk oscillator: analysis, circuit realization and combination synchronization in its fractional-order form
'Informa UK Limited', 2019Co-Authors: Justin Roger Mboupda Pone, Sifeu Takougang Kingni, Guy Richard Kol, Vietthanh PhamAbstract:In this paper, an autonomous Toda jerk oscillator is proposed and analysed. The autonomous Toda jerk oscillator is obtained by converting an autonomous two-dimensional Toda oscillator with an exponential nonlinear term to a jerk oscillator. The existence of Hopf bifurcation is established during the stability analysis of the unique equilibrium point. For a suitable choice of the parameters, the proposed autonomous Toda jerk oscillator can generate Antimonotonicity, periodic oscillations, chaotic oscillations and bubbles. By introducing two additional parameters in the proposed autonomous Toda jerk oscillator, it is possible to control partially or totally the amplitude of its signals. In addition, electronic circuit realization of the proposed Toda jerk oscillator is carried out to confirm results found during numerical simulations. The commensurate fractional-order version of the proposed autonomous chaotic Toda jerk oscillator is studied using the stability theorem of fractional-order oscillators and numerical simulations. It is found that periodic oscillations and chaos exist in the fractional-order form of the proposed Toda jerk oscillator with order less than three. Finally, combination synchronization of two fractional-order proposed autonomous chaotic Toda jerk oscillators with another fractional-order proposed autonomous chaotic Toda jerk oscillator is analysed using the nonlinear feedback control method
Vietthanh Pham - One of the best experts on this subject based on the ideXlab platform.
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Hopf bifurcation, Antimonotonicity and amplitude controls in the chaotic Toda jerk oscillator: analysis, circuit realization and combination synchronization in its fractional-order form
'Informa UK Limited', 2019Co-Authors: Justin Roger Mboupda Pone, Sifeu Takougang Kingni, Guy Richard Kol, Vietthanh PhamAbstract:In this paper, an autonomous Toda jerk oscillator is proposed and analysed. The autonomous Toda jerk oscillator is obtained by converting an autonomous two-dimensional Toda oscillator with an exponential nonlinear term to a jerk oscillator. The existence of Hopf bifurcation is established during the stability analysis of the unique equilibrium point. For a suitable choice of the parameters, the proposed autonomous Toda jerk oscillator can generate Antimonotonicity, periodic oscillations, chaotic oscillations and bubbles. By introducing two additional parameters in the proposed autonomous Toda jerk oscillator, it is possible to control partially or totally the amplitude of its signals. In addition, electronic circuit realization of the proposed Toda jerk oscillator is carried out to confirm results found during numerical simulations. The commensurate fractional-order version of the proposed autonomous chaotic Toda jerk oscillator is studied using the stability theorem of fractional-order oscillators and numerical simulations. It is found that periodic oscillations and chaos exist in the fractional-order form of the proposed Toda jerk oscillator with order less than three. Finally, combination synchronization of two fractional-order proposed autonomous chaotic Toda jerk oscillators with another fractional-order proposed autonomous chaotic Toda jerk oscillator is analysed using the nonlinear feedback control method
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a simple chaotic circuit with a hyperbolic sine function and its use in a sound encryption scheme
Nonlinear Dynamics, 2017Co-Authors: Akif Akgul, Vietthanh Pham, Ioannis N. Stouboulos, Ioannis M. KyprianidisAbstract:In this work, one of the most simple chaotic autonomous circuits, which has been reported in the literature, is presented. The proposed circuit, that belongs to jerk systems family, is described mathematically by a 3-D dynamical system with only five terms, and it has only one nonlinear term, which is the hyperbolic sine term implemented with two antiparallel diodes. This new jerk system presents interesting chaotic phenomena, such as coexisting attractors and Antimonotonicity. Also, as an application of the proposed system a sound encryption scheme that is based on a random number generator, which is implemented with the jerk system, is presented. The practical usefulness of the proposed simple chaotic jerk circuit is confirmed from the results of NIST-800-22 tests of the chaotic random number generator, as well as from the successful sound encryption and decryption process.
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analysis adaptive control and circuit simulation of a novel nonlinear finance system
Applied Mathematics and Computation, 2016Co-Authors: O I Tacha, Ioannis M. Kyprianidis, Ioannis N. Stouboulos, Christos Volos, Sundarapandian Vaidyanathan, Vietthanh PhamAbstract:In the last three decades a growing interest in developing nonlinear dynamical systems for economic models, displaying chaotic behavior has been developed. To this direction, a novel 3-D nonlinear finance chaotic system consisting of two nonlinearities is presented. The dynamical analysis of the proposed system confirms its complex dynamic behavior, which is studied by using well-known simulation tools of nonlinear theory, such as the bifurcation diagram, Lyapunov exponents and phase portraits. Also, some interesting phenomena related with nonlinear theory are observed, such as route to chaos through a period doubling sequence, Antimonotonicity and crisis phenomena. In addition, an interesting scheme of adaptive control of finance system's behavior is presented. Furthermore, the novel nonlinear finance system is emulated by an electronic circuit and its dynamical behavior is studied by using the electronic simulation package Cadence OrCAD in order to confirm the feasibility of the theoretical model.