A piecewise linear electronic circuit with a multiplicity of bifurcations

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 14, Issue 11, 2004, Pages 3871-3881

  Freire, Emilio ^a   Ponce, Enrique ^a   Rodrigo, Francisco ^a   Torres, Francisco ^a  

^a Univ Politécnica   (Spain)

Author keywords

Bifurcation; Nonlinear oscillations; Piecewise linear systems

Indexed keywords

BIFURCATION (MATHEMATICS); ELECTRIC POTENTIAL; LINEAR SYSTEMS; NONLINEAR SYSTEMS; OPERATIONAL AMPLIFIERS; OSCILLATIONS;

DYNAMICAL BEHAVIORS; LINEAR ZONES; NONLINEAR OSCILLATIONS; PIECEWISE LINEAR SYSTEMS;

NETWORKS (CIRCUITS);

EID: 17044412070     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127404011776     Document Type: Article

References (9)

1. Carmona, V., Freire, E., Ponce, E. & Torres, F. [2002] "On simplifying and classifying piecewise linear systems," IEEE Trans. Circuits Syst.-I 49, 609-620.
2. Freire, E., Ponce, E., Rodrigo, P. & Torres, F. [1998] "Bifurcation sets of symmetrically continuous piecewise linear systems with two zones," Int. J. Bifurcation and Chaos 8, 2073-2097.
3. Freire, E., Ponce, E., Rodrigo, P. & Torres, F. [2002] "Bifurcation sets of symmetrically continuous piecewise linear systems with three zones," Int. J. Bifurcation and Chaos 12, 1675-1702.
4. Hartman, P. [1982] Ordinary Differential Equations (Birkäuser, Boston).
5. Hodgkin, A. L. & Huxley, A. F. [1952] "A qualitative description of membrane current and its application to conduction and excitation in nerve," J. Phys. 177, 500-544.
6. Keener, J. P. [1983] "Analog circuitry for the Van der Pol and Fitzhugh-Nagumo equations," IEEE Trans. Syst. Man Cybern. 13, 1010-1014.
7. Madan, R. N. [1983] Chua's Circuit: A Paradigm for Chaos, World Scientific Series on Nonlinear Science, Serie B (World Scientific, Singapore).
8. Nagumo, J., Arimoto, S. & Yoshizawa, S. [1962] "An active pulse transmission line simulating nerve axon," Proc. IRE 50, 2061-2070.
9. Teruel, A. E. [2000] "Clasificación topológica de una familia de campos vectoriales lineales a trozos en el piano," PhD dissertation, Universitat Autónoma de Barcelona, Barcelona, Spain (in Spanish).