Anticontrol of Linear Systems: New Chaotic Attractors

Resumen: We propose a design methodology to construct piecewise linear systems with attractors of different number and distribution of scrolls. We investigate the underlying chaos generating mechanisms of benchmark chaotic systems, then we propose variants based in these benchmark structures that result in new alternative attractors. Unlike previous methods our method is not based on adding equilibrium points on the system, instead we manipulate the eigenvalues and eigenspaces of the existing linear subsystems of the systems to produce or inhibit the formation of scrolls. To illustrate the effectiveness of our proposed method we show new attractors with different symmetries and number of scrolls based on some well-known chaotic systems.

¿Cómo citar?

Juan Gonzalo, Barajas-Ramírez. Anticontrol of Linear Systems: New Chaotic Attractors. Memorias del Congreso Nacional de Control Automático, pp. 737-742, 2019.

Palabras clave

Sistemas Caóticos, Control de Sistemas No Lineales, Control de Sistemas Lineales

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