A Novel Multi-Wing Chaotic System and Circuit Simulation
نویسنده
چکیده
Base on a 3-D chaotic system, a new chaotic system generating three-wing and fourwing chaotic attractors is constructed by introducing a linear term. The phase diagrams, Lyapunov exponent spectrums and bifurcation diagrams of the system are studied by numerical simulation. Furthermore, the system is simulated by circuit, and the three-wing and four-wing chaotic attractors are observed. The circuit simulation results are in agreement with numerical simulation results.
منابع مشابه
Grid multi-wing butterfly chaotic attractors generated from a new 3-D quadratic autonomous system
Abstract. Due to the dynamic characteristics of the Lorenz system, multi-wing chaotic systems are still confined in the positive half-space and fail to break the threshold limit. In this paper, a new approach for generating complex grid multi-wing attractors that can break the threshold limit via a novel nonlinear modulating function is proposed from the firstly proposed double-wing chaotic sys...
متن کاملDesign of a Four-wing Heterogeneous Fractional-order Chaotic System and Its Circuit Simulation
Integer orders differential system is a special case of fractional-order differential system. Integer orders chaotic system that we usually study is ideally approximate to realistic chaotic system. Fractional-order chaotic system has broader and changeable values of order and more complex dynamical behavior than integer order chaotic system. Thus, fractional-order differential equation can desc...
متن کاملSimulation studies on the design of optimum PID controllers to suppress chaotic oscillations in a family of Lorenz-like multi-wing attractors
Multi-wing chaotic attractors are highly complex nonlinear dynamical systems with higher number of index-2 equilibrium points. Due to the presence of several equilibrium points, randomness and hence the complexity of the state time series for these multi-wing chaotic systems is much higher than that of the conventional double-wing chaotic attractors. A real-coded Genetic Algorithm (GA) based gl...
متن کاملModeling, simulation and analysis of a multi degree of freedom aircraft wing model
This paper presented methods to determine the aerodynamic forces that acton an aircraft wing during flight. These methods are initially proposed for asimplified two degree-of-freedoms airfoil model and then are extensivelyapplied for a multi-degree-of-freedom airfoil system. Different airspeedconditions are considered in establishing such methods. The accuracy of thepresented methods is verifie...
متن کاملTwo Hyperchaotic Systems with Four-wing Attractors and Their Synchronization
In this paper, an approach to generate multi-wing attractors in coupled chaotic systems is investigated. By coupling two identical Lü systems, novel four-wing hyperchaotic attractors are generated. In particular, novel four-wing hyperchaotic attractors are also generated by coupling a lorenz system and a Lü system. The paper shows that the equilibria of the proposed systems have certain symmetr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2016