Title :
Constructing Continuous-Time Chaos-Generating Templates with Desirably Configured Periodic Orbits
Author :
Ito, Hidetaka ; Furuoka, Tatsuya ; Kumamoto, Akira
Author_Institution :
Dept. of Electr. & Electron. Eng., Kansai Univ., Suita, Japan
Abstract :
Towards extending the methodology for developing flexible pattern generators and controllers that can exploit various nonlinear phenomena, this paper proposes a framework for constructing continuous-time dynamical systems that bind desired unstable periodic orbits into a chaotic attractor. Our strategy is comprised of the following three stages: constructing an interim "chaos-generating template", deforming the template according to the desired configuration of periodic orbits, and performing appropriate function approximation to obtain the dynamical system.
Keywords :
continuous time systems; control nonlinearities; function approximation; nonlinear dynamical systems; pattern formation; chaotic attractor; continuous-time chaos-generating templates; continuous-time dynamical systems; desirably configured periodic orbits; flexible pattern generators; function approximation; nonlinear dynamics; template deformation; unstable periodic orbits; Chaotic communication; Function approximation; Orbits; Polynomials; Space vehicles; Vectors; chaotic dynamics; intelligent systems; neural networks; numerical design; pattern generation; vector field;
Conference_Titel :
Informatics and Computational Intelligence (ICI), 2011 First International Conference on
Conference_Location :
Bandung
Print_ISBN :
978-1-4673-0091-9
DOI :
10.1109/ICI.2011.39
