TY - JOUR N2 - 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. L1 - http://czasopisma.pan.pl/Content/108830/ACS-2018-3-6.pdf L2 - http://czasopisma.pan.pl/Content/108830 PY - 2018 IS - No 3 EP - 443–462 DO - 10.24425/acs.2018.124711 KW - chaos KW - chaotic systems KW - curve equilibrium KW - Lyapunov exponents KW - circuit design KW - synchronization A1 - Vaidyanathan, Sundarapandian A1 - Sambas, Aceng A1 - Mamat, Mustafa PB - Committee of Automatic Control and Robotics PAS VL - vol. 28 DA - 2018.10.01 T1 - A new chaotic system with axe-shaped equilibrium, its circuit implementation and adaptive synchronization SP - 443–462 UR - http://czasopisma.pan.pl/dlibra/publication/edition/108830 T2 - Archives of Control Sciences ER -