Grid Multiscroll Hyperchaotic Attractors Based on Colpitts Oscillator Mode with Controllable Grid Gradient and Scroll Numbers



Document title: Grid Multiscroll Hyperchaotic Attractors Based on Colpitts Oscillator Mode with Controllable Grid Gradient and Scroll Numbers
Journal: Journal of applied research and technology
Database: PERIÓDICA
System number: 000377652
ISSN: 1665-6423
Authors: 1
1
1
Institutions: 1Hunan University, College of Information Science and Engineering, Changsha. China
Year:
Season: Jun
Volumen: 11
Number: 3
Pages: 371-380
Country: México
Language: Inglés
Document type: Artículo
Approach: Experimental, aplicado
English abstract Through introducing two piecewise-linear triangular wave functions in a three-dimensional spiral chaotic Colpitts oscillator model, a four-dimensional grid multiscroll hyperchaotic system is constructed. Interestingly, by adjusting a build-in parameter in a variable of one triangle wave function, the control of the gradient of the multiscroll grid is achieved. Whereas by deploying the zero points of the two triangular wave functions to extend the saddle-focus equilibrium points with index-2 in phase space the scroll numbers do not only increase along with the number of turning points, but they can also generate arbitrary multiples of products. The basic dynamical behaviors of the proposed four-dimensional multiscroll hyperchaotic system are analyzed. Finally, the hardware experimental circuit is designed and the interrelated circuit implementation is realized. The experimental results are in agreement with both theoretical analyses and numerical simulations, which verify the feasibility of the design methods
Disciplines: Matemáticas
Keyword: Matemáticas aplicadas,
Sistemas hipercaóticos,
Atractores caóticos,
Gradiente de malla,
Función de onda triangular,
Oscilador Colpitts
Keyword: Mathematics,
Applied mathematics,
Hyperchaotic systems,
Chaotic attractors,
Grid gradient,
Triangle wave function,
Colpitts oscillator
Full text: Texto completo (Ver HTML)