Convergence in a Chua's system with three equilibria

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 55, Issue 2, 2004, Pages 183-200

  Sánchez, Luis A ^a  

^a TECHNICAL UNIVERSITY OF CARTAGENA   (Spain)

Author keywords

Convergence to equilibria; Monotone flows; Piecewise linear systems

Indexed keywords

EID: 1842815853     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-003-3043-2     Document Type: Review

References (12)

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2. L. C. Evans, Partial Differential Equations, American Mathematical Society, Providence, 1998.
3. W. Hahn, Stability of Motion, Springer-Verlag, Berlin, 1967.
4. P. R. Halmos, Measure Theory, Van Nostrand, New York, 1950.
5. M. W. Hirsch, Systems of differential equations which are competitive or cooperative. V: Convergence in 3-dimensional systems, J. Diff. Eqs. 80 (1989), 94-106.
6. M. P. Kennedy, Three steps to chaos Part II: A Chua's circuit primer, IEEE Trans. Circuits Syst. 40 (1993), 657-674.
7. M. A. Krasnoselskii, Periodic solutions of operator equations, P. Noordhoff Ltd., Groningen, 1964.
8. J. Marsden, M. McCracken, The Hopf Bifurcation and its Applications, Appl. Math. Sciences 19 Springer-Verlag, 1976.
9. N. Minorsky, Nonlinear Oscillations, R. E. Krieger Publishing Co., New York, 1974.
10. 3, Proc. Amer. Math. Soc. 128 (2000), 2911-2919.
11. L. A. Sanchez, An application of the theory of monotone systems to an electrical circuit, Proc. Roy. Soc. Edinb. 132A (2002), 711-728.
12. L. P. Shilnikov, Chua's circuit: Rigorous results and future problems, IEEE Trans. Circuits Syst. 40 (1993), 784-786.