#Chaos control infinity series
* Applications in astrophysics, space, geophysics, theoretical and structural chemistry, biophysics, social systems, power grids, image and time series processing.Ĭhaos Theory and Applications (CHTA) is published regularly at the end of each following month: No.
* Chaos and its dynamics in biological networks, * Applications to biomedical, data security, control,
* Complexity in physical, social and biological systems, * Mathematical modelling and chaos analysis in engineering, * Chaos-based embedded system applications * Design of analogue circuits of chaotic systems, * Recent developments in chaos-based engineering applications, The journal publishes regular papers dealing with the following areas, but not limited to: The journal aims to publish in as much detail as possible scientific advances in the field of chaos theory and applications with a focus on the practical and theoretical. The journal aims to promote original research papers in the area of Chaos Theory and Applications (CHTA) to include practical innovations in Applied Sciences and Engineering. Coexisting attractors are not associated with an unstable equilibrium and thus often go undiscovered because they may occur in a small region of parameter space, with a small basin of attraction in the space of initial conditions. Moreover, by choosing appropriate parameters, this perturbed system can exhibit chaotic, quasiperiodic and periodic dynamics, as well as some coexisting attractors, such as a chaotic attractor coexisting with a periodic attractor for \(a>0\), and a chaotic attractor coexisting with a quasiperiodic attractor for \(a=0\). Numerical simulations demonstrate the correctness of the dynamical and bifurcation analyses. Furthermore, in accordance with the centre manifold theorem, the subcritical Hopf bifurcation is analysed and obtained. By using Poincaré compactification of polynomial vector fields in \(R^3\), the dynamics near infinity of the singularities is obtained. © 2018 Springer Science+Business Media, LLC, part of Springer Natureĭynamics at infinity and a Hopf bifurcation for a Sprott E system with a very small perturbation constant are studied in this paper.
Encryption results are compared with the AES algorithm, and performance and security evaluation of the developed encryption algorithm is performed.
#Chaos control infinity generator
A chaos-based encryption algorithm with a random number generator is developed and image encryption application is implemented. The numbers obtained from the random number generator are applied to the NIST 800-22 tests, and all of the random numbers are passed through the all tests.
Then, chaos-based random number generator design is carried out using the proposed chaotic system. We have found a proper qualitative likeness between experimental and simulation result. As the first step, chaotic behavior of our proposed system has been realised in physical existence by using the Orcard-PSpise software. Chaotic systems with hidden attractors, which our system belongs to them, may unfold some primary steps to solve these problems. Nowadays chaos based engineering applications like encryption and hiding data face some significant problems. Various dynamics of this new system such as periodic and chaotic oscillations can be achieved by setting bifurcation parameters in a proper value. In this article a simple chaotic flow with hidden attractor is proposed.
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