References
- Deimling , K . 1985 . Nonlinear Functional Analysis , Berlin : Springer Verlarg .
- Krasnosel'skii , MA and Zabreiko , PP . 1984 . Geometrical Methods of Nonlinear Analysis , Verlarg, Berlin : Springer .
- M. Delgado, J. Lopez-Gomez, R. Ortega, and A. Suarez, (eds.) The First 60 Years of Nonlinear Analysis of Jean Mawhin, World Scientific Publishing, Singapore, 2004.
- Benoît , E , Callot , JL , Diener , F and Diener , M . 1981–1982 . Chasse au canard . Coll. Math. , 31–32 : 37 – 119 .
- van Bokhoven , WMG . 1987 . “ Piecewise linear analysis and simulation ” . In Circuit Analysis, Simulation and Design , Edited by: Ruehli , AE . Amsterdam : Elsevier . Ch. 9
- Kennedy , MP and Chua , LO . 1991 . Hysteresis in electronic circuits: A circuit theorist's perspective . Int. J. Circuit Theory App. , 19 : 471 – 515 .
- Fujisawa , T and Kuh , ES . 1972 . Piecewise linear theory of nonlinear networks . SIAM J. Appl. Math. , 22 : 307 – 328 .
- Porter , B and Hicks , DL . 1994 . Genetic robustification of digital model-following flight-controlsystems . IEEE Proc. National Aerospace and Electronics Conf. 1994 . Vol. 1 , pp. 556 – 563 .
- Özkan , L , Kothare , MV and Georgakis , C . 2002 . Control of a solution copolymerization reactor using piecewise linear models . IEEE Proc. American Contr. Conf. 2002 . Vol. 5 , pp. 3864 – 3869 .
- Mayeri , E . 1973 . A relaxation oscillator description of the burst-generating mechanism in the cardiac ganglion of the lobster, homarus americanus . J. Gen. Physiol. , 62 : 473 – 488 .
- McKean , HP . 1970 . Nagumo's equation . Adv. Math. , 4 : 209 – 223 .
- M.P. Mortell, R.E. O'Malley, A.V. Pokrovskii, and V.A. Sobolev, (eds.), Singular Perturbations and Hysteresis, SIAM, Philadelphia 2005.
- Sekikawa , M , Inaba , N and Tsubouchi , T . 2004 . Chaos via duck solution breakdown in a piecewise linear van der Pol oscillator driven by an extremely small periodic perturbation . Physica D , 194 : 227 – 249 .
- Pokrovskii , A and Zhezherun , A . 2009 . Topological method for analysis of periodic canards . Automat. Remote Control , 70 : 967 – 981 .
- Pokrovskii , A and Zhezherun , A . 2008 . Topological degree in analysis of chaotic behavior in singularly perturbed systems . Chaos , 18 : 023130 112
- Arnold , VI , Afraimovich , VS , Il'yashenko , YuS and Shil'nikov , LP . 1994 . “ Theory of Bifurcations ” . In Encyclopedia of Mathematical Sciences, Dynamical Systems , Edited by: Arnold , VI . Vol. 5 , Berlin : Springer .
- Mishchenko , EF , Kolesov , YuS , Kolesov , AYu and Rozov , NKh . 1995 . Asymptotic Methods in Singularly Perturbed Systems , New York : Plenum Press .