Natural Exponential and Three‐Dimensional Chaotic System
Sign Up to like & getrecommendations! Published in 2023 at "Advanced Science"
DOI: 10.1002/advs.202204269
Abstract: Existing chaotic system exhibits unpredictability and nonrepeatability in a deterministic nonlinear architecture, presented as a combination of definiteness and stochasticity. However, traditional two‐dimensional chaotic systems cannot provide sufficient information in the dynamic motion and usually… read more here.
Keywords: system; exponential three; natural exponential; three dimensional ... See more keywords
A new three-dimensional chaotic system: Dynamical properties and simulation
Sign Up to like & getrecommendations! Published in 2017 at "Chinese Journal of Physics"
DOI: 10.1016/j.cjph.2017.07.002
Abstract: Abstract This paper recomends a new three-dimensional autonomous chaotic system with six terms including three multipliers, which is different from the Lorenz system and other existing systems. Basic dynamical characteristics of this new system are… read more here.
Keywords: three dimensional; system; dimensional chaotic; system dynamical ... See more keywords
Strange attractor existence for non-local operators applied to four-dimensional chaotic systems with two equilibrium points.
Sign Up to like & getrecommendations! Published in 2019 at "Chaos"
DOI: 10.1063/1.5085440
Abstract: Not every chaotic system has the particularity of displaying attractors with a fractal structure. That is why strange attractors remain enthralling not only for their fractal structure, but also for their amazing chaotic and multi-scroll… read more here.
Keywords: equilibrium points; non local; dimensional chaotic; fractal structure ... See more keywords
Data-driven forecasting of high-dimensional chaotic systems with long short-term memory networks
Sign Up to like & getrecommendations! Published in 2018 at "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences"
DOI: 10.1098/rspa.2017.0844
Abstract: We introduce a data-driven forecasting method for high-dimensional chaotic systems using long short-term memory (LSTM) recurrent neural networks. The proposed LSTM neural networks perform inference of high-dimensional dynamical systems in their reduced order space and… read more here.
Keywords: high dimensional; dimensional chaotic; data driven; driven forecasting ... See more keywords
Two-dimensional chaotic thermostat and behavior of a thermalized charge in a weak magnetic field.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.062218
Abstract: A two-dimensional version of a chaotic thermostat is investigated. Its structure follows the concept previously introduced by the author [G. J. Morales, Phys. Rev. E 97, 032203 (2018)2470-004510.1103/PhysRevE.97.032203] to generate a one-dimensional chaotic thermostat, namely, the… read more here.
Keywords: chaotic thermostat; dimensional chaotic; thermostat; magnetic field ... See more keywords
Coexisting attractors, circuit realization and impulsive synchronization of a new four-dimensional chaotic system
Sign Up to like & getrecommendations! Published in 2019 at "Modern Physics Letters B"
DOI: 10.1142/s021798491950026x
Abstract: This paper presents a new four-dimensional chaotic system with three nonlinearities and two equilibria. The most striking feature of the new system is that it has different types of asymmetric coexisting attractors. Simulation experiments are… read more here.
Keywords: new four; system; dimensional chaotic; four dimensional ... See more keywords
Entropy Analysis and Neural Network-Based Adaptive Control of a Non-Equilibrium Four-Dimensional Chaotic System with Hidden Attractors
Sign Up to like & getrecommendations! Published in 2019 at "Entropy"
DOI: 10.3390/e21020156
Abstract: Today, four-dimensional chaotic systems are attracting considerable attention because of their special characteristics. This paper presents a non-equilibrium four-dimensional chaotic system with hidden attractors and investigates its dynamical behavior using a bifurcation diagram, as well… read more here.
Keywords: system; dimensional chaotic; control; four dimensional ... See more keywords