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On the formation of hidden chaotic attractors and nested invariant tori in the Sprott A system
(2017-04-01)
We consider the well-known Sprott A system, which depends on a single real parameter a and, for a= 1 , was shown to present a hidden chaotic attractor. We study the formation of hidden chaotic attractors as well as the ...
Synchronization dynamics of modified relay-coupled chaotic systems
(2018-01-01)
In this manuscript, we study the dynamics of a modified relay-coupled chaotic systems. The modification consists on the fact that the relay unit is modeled to lead the entire network to a desired dynamics. Then we achieve ...
Attractors generated from switching unstable dissipative systems
(American Institute of Physics, 2012)
Convergence Criterium of Numerical Chaotic Solutions Based on Statistical Measures
(Scientific Research Publishing, 2011-04)
Solutions of most nonlinear differential equations have to be obtained numerically. The time series obtained by numerical integration will be a solution of the differential equation only if it is independent of the integration ...
On the dynamics of two-dimensional dissipative discontinuous maps
(2020-02-01)
Some dynamical properties for a dissipative two-dimensional discontinuous standard mapping are considered. The mapping, in action-angle variables, is parameterized by two control parameters; namely, k ≥ 0 controlling the ...
Global dynamics of the Rikitake system
(Elsevier B.V., 2009-02-01)
The Rikitake system is a three dimensional vector field obtained experimentally from a two-disk dynamo apparatus, which models the geomagnetic field and is used to explain the known irregular switch in its polarity. The ...
Global dynamics of the Rikitake system
(Elsevier B.V., 2009-02-01)
The Rikitake system is a three dimensional vector field obtained experimentally from a two-disk dynamo apparatus, which models the geomagnetic field and is used to explain the known irregular switch in its polarity. The ...