Results 31 to 40 of about 32,625 (190)
Complexity, 2018 A 3D fractional-order nonlinear system with coexisting chaotic attractors is proposed in this paper. The necessary condition of the existence chaos is q≥0.8477. The fractional-order system exhibits chaotic attractors with the order as low as 2.5431.
Ping Zhou, Meihua Ke, Peng Zhu
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IEEE Access, 2021 The change and development of leakage current (LC) during the flashover process of insulators are closely related to the discharge process. Characteristic quantities of LC play an important role in the identification and prediction of ice-covered ...
Ali Hui, Weiqiang Lu
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Chaotic itinerancy and power-law residence time distribution in stochastic dynamical system
, 2005 To study a chaotic itinerant motion among varieties of ordered states, we propose a stochastic model based on the mechanism of chaotic itinerancy. The model consists of a random walk on a half-line, and a Markov chain with a transition probability matrix.
F. Spitzer +4 more
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Chaotic and pseudochaotic attractors of perturbed fractional oscillator
, 2005 We consider a nonlinear oscillator with fractional derivative of the order alpha. Perturbed by a periodic force, the system exhibits chaotic motion called fractional chaotic attractor (FCA). The FCA is compared to the ``regular'' chaotic attractor.
A. A. Stanislavsky +10 more
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Chaotic Dynamics Analysis and FPGA Implementation Based on Gauss Legendre Integral
MathematicsIn this paper, we first design the corresponding integration algorithm and matlab program according to the Gauss–Legendre integration principle. Then, we select the Lorenz system, the Duffing system, the hidden attractor chaotic system and the Multi-wing
Li Wen, Li Cui, Hairong Lin, Fei Yu
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Chaotic Attractor Generation via Space Function Controls
Discrete Dynamics in Nature and Society, 2011 The analysis of chaotic attractor generation is given, and the generation of novel chaotic attractor is introduced in this paper. The underlying mechanism involves two simple linear systems with one-dimensional, two-dimensional, or three-dimensional ...
Hong Shi, Guangming Xie, Desheng Liu
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Memory Storage Systems Utilizing Chaotic Attractor-Merging Bifurcation
IEEE Access, 2022 In nonlinear dynamical systems with barriers/thresholds, the signal response against a weak external input signal is enhanced by an appropriate additive noise (stochastic resonance).
Sou Nobukawa +4 more
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Emergence of chaotic attractor and anti-synchronization for two coupled monostable neurons
, 2004 The dynamics of two coupled piece-wise linear one-dimensional monostable maps is investigated. The single map is associated with Poincare section of the FitzHugh-Nagumo neuron model.
M. Courbage +4 more
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Abstract and Applied Analysis, 2014 A permanent magnet synchronous motor (PMSM) model with smooth air gap and an exogenous periodic input is introduced and analyzed in this paper. With a simple mathematical transformation, a new nonautonomous Lorenz-like system is derived from this PMSM ...
Zhonglin Wang +4 more
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Cascade of Invariant Curve Doubling Bifurcations and Quasi-Periodic Hénon Attractor in the Discrete Lorenz-84 Model [PDF]
Известия Саратовского университета. Новая серия: Физика, 2020 Background and Objectives: Chaotic behavior is one of the fundamental properties of nonlinear dynamical systems, including maps. Chaos can be most easily and reliably diagnosed using the largest Lyapunov exponent, which will be positive for the chaotic ...
Popova, Elena Sergeevna +2 more
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