Chaos in limit cycle systems with external periodic excitations
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[1] Peter J. Ponzo,et al. On periodic solutions of the system ·x = y − F(x), ·Y = −g(x)☆ , 1971 .
[2] H. Nijmeijer,et al. Singular perturbations and a mapping on an interval for the forced Van der pol relaxation oscillator , 1984 .
[3] M. Levi. Periodically forced relaxation oscillations , 1980 .
[4] K. Tomita,et al. Chaotic response of a limit cycle , 1979 .
[5] J. Dreitlein,et al. A model for oscillatory kinetic systems. , 1974, Journal of theoretical biology.
[6] U. Frisch,et al. Intermittency in nonlinear dynamics and singularities at complex times , 1981 .
[7] A. Tondl,et al. Non-linear Vibrations , 1986 .
[8] W. Steeb,et al. Painleve property of anharmonic systems with an external periodic field , 1983 .
[9] D A Linkens. The stability of entrainment conditions for RLC coupled Van der Pol oscillators used as a model for intestinal electrical rhythms. , 1977, Bulletin of mathematical biology.
[10] J. E. Littlewood,et al. On non-linear differential equations of the second order: III. The equation $$\ddot y - k(1 - y^2 )\dot y + y = b \mu k cos (\mu t + \alpha )$$ for largek, and its generalizationsfor largek, and its generalizations , 1957 .
[11] M. Ablowitz,et al. A connection between nonlinear evolution equations and ordinary differential equations of P‐type. II , 1980 .
[12] W. Steeb,et al. Chaotic behaviour and limit cycle behaviour of anharmonic systems with periodic external perturbations , 1983 .
[13] N. N. Bogoli︠u︡bov,et al. Introduction to non-linear mechanics , 1943 .
[14] W. Steeb,et al. Solutions to Non-Linear Reaction-Diffusion Equations in Two Space Dimensions , 1982 .
[15] Michael Tabor,et al. Analytic structure of the Lorenz system , 1981 .
[16] N. Levinson,et al. A general equation for relaxation oscillations , 1942 .
[17] M. L. Cartwright. On non-linear differential equations of the second order , 1949 .
[18] J. Flaherty,et al. Frequency Entrainment of a Forced van der pol Oscillator. , 1977 .
[19] M. Tabor,et al. Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes , 1982 .
[20] Norio Akamatsu,et al. Chaotically transitional phenomena in the forced negative-resistance oscillator , 1980 .
[21] John Guckenheimer,et al. Symbolic dynamics and relaxation oscillations , 1980 .
[22] K. Tomita,et al. Stroboscopic Phase Portrait of a Forced Nonlinear Oscillator , 1979 .
[23] Balth. van der Pol Jun.. LXXXVIII. On “relaxation-oscillations” , 1926 .
[24] K. Tomita,et al. Entrainment of a Limit Cycle by a Periodic External Excitation , 1977 .