In the above paper, the authors proposed a search algorithm for finding simple chaotic systems with quadratic nonlinearities which have the unusual feature of having a line equilibrium and introduced nine novel
wherex,yandzare state variables anda,bare real parameters. Let us mention that system (1) unifies many other chaotic systems with only one equilibrium. For instance, system (1) becomes the well-known Sprott E system [37] in the case of(a,b)=(0,1), and becomes the Wang-Chen system ...
These structures reside at equilib- rium of growth and decay, in which unordered particles are self-ordering and - after some time - fall back to unorderedness1,7, as living systems manage to reside far from a thermodynamic equilibrium8. No general simple proximate model yields such dynamic ...
Many algorithms deal with search problems. Optimisation, for example, can be treated as a search through afitness landscape, where points in the landscape correspond to different combinations of parameter values and the “fitness” indicates how good the solution is. These searches typically combine ...
Thus here we show how our LSTM captures not just the rate constant, but time-dependent fluctuations in the population in a given metastable state as equilibrium is attained. The results are averaged over 20 independent segments taken from the trajectories of different trials of training for the ...
Using a systematic computer search, nine simple chaotic flows with quadratic nonlinearities were found that have the unusual feature of having a line equilibrium. Such systems belong to a newly introduced category of chaotic systems with hidden attractors that are important and potentially problematic ...
stable equilibriumhidden attractorseigenvalueUsing the Routhu2013Hurwitz stability criterion and a systematic computer search, 23 simple chaotic flows with quadratic nonlinearities were found that have the unusual feature of having a coexisting stable equilibrium point. Such systems belong to a newly ...
Jafari S and Sprott J C 2015 Erratum to: Simple chaotic flows with a line equilibrium Chaos, solitons and fractals 77 341-42Jafari, S., Sprott, J.C.: Erratum to: "Simple chaotic flows with a line equilibrium"[Chaos, Solitons and Fractals 57 (2013) 79-84]. Chaos Solitons Fractals 77...