@ARTICLE{Vaidyanathan_Sundarapandian_A_2018, author={Vaidyanathan, Sundarapandian and Sambas, Aceng and Mamat, Mustafa}, volume={vol. 28}, number={No 3}, journal={Archives of Control Sciences}, pages={443–462}, howpublished={online}, year={2018}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={In the recent years, chaotic systems with uncountable equilibrium points such as chaotic systems with line equilibrium and curve equilibrium have been studied well in the literature. This reports a new 3-D chaotic system with an axe-shaped curve of equilibrium points. Dynamics of the chaotic system with the axe-shaped equilibrium has been studied by using phase plots, bifurcation diagram, Lyapunov exponents and Lyapunov dimension. Furthermore, an electronic circuit implementation of the new chaotic system with axe-shaped equilibrium has been designed to check its feasibility. As a control application, we report results for the synchronization of the new system possessing an axe-shaped curve of equilibrium points.}, type={Artykuły / Articles}, title={A new chaotic system with axe-shaped equilibrium, its circuit implementation and adaptive synchronization}, URL={http://journals.pan.pl/Content/108830/ACS-2018-3-6.pdf}, doi={10.24425/acs.2018.124711}, keywords={chaos, chaotic systems, curve equilibrium, Lyapunov exponents, circuit design, synchronization}, }