Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: unknown
Published: Sept. 3, 2024
Language: Английский
Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: unknown
Published: Sept. 3, 2024
Language: Английский
Physics Letters A, Journal Year: 2024, Volume and Issue: unknown, P. 130112 - 130112
Published: Nov. 1, 2024
Language: Английский
Citations
1Physica Scripta, Journal Year: 2024, Volume and Issue: 99(9), P. 095244 - 095244
Published: Aug. 7, 2024
Abstract Fractional calculus, as a more accurate tool for depicting the dynamics of complex systems, has been introduced into discrete chaotic maps. To further describe offset-boosting behavior in fractional-order map (DFOCM) based on Caputo difference operator is constructed. The mapping order this model controls stability fixed point, thereby affecting dynamic map. DFOCM studied using numerical simulation methods such bifurcation diagrams and maximum Lyapunov exponents, revealing presence multistability. By comparing with integer-order map, it found that exhibit larger region. Based this, between fractional integer theoretically derived. Specifically, maps concerning parameters related to initial state, which was demonstrated through simulations. SE complexity proves sequences generated by have high unpredictability pseudo-randomness. Finally, proposed implemented DSP hardware platform, physical feasibility verified.
Language: Английский
Citations
0The European Physical Journal Plus, Journal Year: 2024, Volume and Issue: 139(8)
Published: Aug. 7, 2024
Language: Английский
Citations
0Physica Scripta, Journal Year: 2024, Volume and Issue: 99(10), P. 105201 - 105201
Published: Aug. 16, 2024
Abstract In this paper, a three-dimensional (3D) autonomous tabu learning single neuron model is proposed, which achieved by using sinusoidal activation function and introducing memristor synapse. This exhibits the remarkable capability to produce series of planar multi-scroll chaotic attractors, its unique feature lies in ability control number scrolls. The investigation attractors dynamical behaviors conducted through analysis phase plane portraits, bifurcation diagrams, spectral entropies. numerical simulations unveil compelling relationship between scrolls specific parameters governing model. To further validate findings, 3D implemented on digital hardware platform. an effort extend practical significance research, phenomenon generated proposed deployed for image encryption. fusion mathematical modeling, implementation, application underscores universality fields systems engineering applications.
Language: Английский
Citations
0Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: unknown
Published: Sept. 3, 2024
Language: Английский
Citations
0