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Bifurcations and chaos dynamics of a hyperjerk system with antimonotonicity
The European Physical Journal Plus, 2020 In this paper, the bifurcations and chaos dynamics of a hyperjerk system with antimonotonicity are investigated via the analytical methods and numerical calculations. We discuss the local stabilities of equilibrium points and its bifurcations depending on parameters.
Lishuang Jiang, Jing Li, Wei Zhang
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International Journal of Bifurcation and Chaos, 2018 By replacing the resistor in a Twin-T network with a generalized flux-controlled memristor, this paper proposes a simple fourth-order memristive Twin-T oscillator. Rich dynamical behaviors can be observed in the dynamical system. The most striking feature is that this system has various periodic orbits and various chaotic attractors generated by ...
Ling Zhou +3 more
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Maximal extensions of partial orders preserving antimonotonicity
Algebra universalis, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jenő Szigeti
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Chaos, Solitons and Fractals, 2021
Abstract In this paper, nonlinear dynamics of the torsional vibrations of the Series Hybrid Electric Vehicle (SHEV) powertrain are explored. The mathematical equation of the SHEV is obtained by considering both internal and external excitations. We examine the effects of rotational speed, load fluctuation, and road fluctuation on the dynamics of the ...
Gervais Dolvis Leutcho, David Yemele
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Abstract In this paper, nonlinear dynamics of the torsional vibrations of the Series Hybrid Electric Vehicle (SHEV) powertrain are explored. The mathematical equation of the SHEV is obtained by considering both internal and external excitations. We examine the effects of rotational speed, load fluctuation, and road fluctuation on the dynamics of the ...
Gervais Dolvis Leutcho, David Yemele
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Distribution-free upper bounds for spread options and market-implied antimonotonicity gap
European Journal of Finance, 2008We derive in closed form distribution-free bounds and optimal hedging strategies for spread options. Upper bounds are obtained when the spread option's joint distribution is constrained by the prices of traded options with all available strikes of a given maturity.
Tai-Ho Wang, Peter Laurence
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Chaos, antimonotonicity and coexisting attractors in Van der Pol oscillator based electronic circuit
Analog Integrated Circuits and Signal Processing, 2021Studies on the nonlinear dynamics of a modified Van der Pol oscillator based electronic circuit has been reported. It has been found that inclusion of an active RC section (or filter) in the Van der Pol oscillator is able to generate rich nonlinear behavior. Effect of a low pass filter as well as an all pass filter has been reported.
Saumen Chakraborty +1 more
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Antimonotonicity, chaos and multiple attractors in a novel autonomous memristor-based jerk circuit
Nonlinear Dynamics, 2017A novel memristor-based oscillator derived from the autonomous jerk circuit (Sprott in IEEE Trans Circuits Syst II Express Briefs 58:240–243, 2011) is proposed. A first-order memristive diode bridge replaces the semiconductor diode of the original circuit.
J Kengne, A Nguomkam Negou
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Chaos, Solitons and Fractals, 2017
Abstract This paper focuses on the dynamics of a modified jerk circuit obtained via replacing the diode bridge memristor in the original jerk circuit introduced in [24] with a first-order hybrid diode circuit. Both memristive diode bridge and first order hybrid diode are frequency dependent component even though the later device doesn't has a pinched
J Kengne
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Abstract This paper focuses on the dynamics of a modified jerk circuit obtained via replacing the diode bridge memristor in the original jerk circuit introduced in [24] with a first-order hybrid diode circuit. Both memristive diode bridge and first order hybrid diode are frequency dependent component even though the later device doesn't has a pinched
J Kengne
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International Journal of Dynamics and Control, 2017
In this contribution, a novel Jerk system with a smooth piecewise quadratic nonlinearity is introduced. The new nonlinearity provides a similar smoothness as the cubic polynomial function, but a faster response and a simpler circuitry. The basic dynamical properties of the model are discussed in terms of its parameters by using standard nonlinear ...
Gervais Dolvis Leutcho +2 more
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In this contribution, a novel Jerk system with a smooth piecewise quadratic nonlinearity is introduced. The new nonlinearity provides a similar smoothness as the cubic polynomial function, but a faster response and a simpler circuitry. The basic dynamical properties of the model are discussed in terms of its parameters by using standard nonlinear ...
Gervais Dolvis Leutcho +2 more
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Symmetry, Multistability and Antimonotonicity of a Shinriki Oscillator with Dual Memristors
International Journal of Bifurcation and Chaos, 2023In this paper, a type of modified dual memristive Shinriki oscillator is constructed with a flux-controlled absolute-type memristor and a voltage-controlled generic memristor, and the proposed oscillator with abundant dynamical behaviors, including the multistability and antimonotonicity, is comprehensively studied through dynamical distribution ...
Yizi Cheng, Fuhong Min
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