Melnikov's method and averaging

[1]  E. Coddington,et al.  Theory of Ordinary Differential Equations , 1955 .

[2]  P. Holmes,et al.  Homoclinic Orbits, Subharmonics and Global Bifurcations in Forced Oscillations , 1981 .

[3]  W. Schlup I-V characteristics and stationary dynamics of a Josephson junction including the interference term in the current phase relation , 1974 .

[4]  On the Problem of Sustained Resonance , 1978 .

[5]  Jerrold E. Marsden,et al.  Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom , 1982 .

[6]  Jan A. Sanders On the Passage through Resonance , 1979 .

[7]  On a Model for Reentry Roll Resonance , 1974 .

[8]  Philip Holmes,et al.  Averaging and chaotic motions in forced oscillations , 1980 .

[9]  Jerrold E. Marsden,et al.  Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems , 1982 .

[10]  Shui-Nee Chow,et al.  An example of bifurcation to homoclinic orbits , 1980 .

[11]  Y. Sinai GIBBS MEASURES IN ERGODIC THEORY , 1972 .

[12]  P. J. Holmes,et al.  Second order averaging and bifurcations to subharmonics in duffing's equation , 1981 .

[13]  B. Chirikov A universal instability of many-dimensional oscillator systems , 1979 .

[14]  Jan A. Sanders Asymptotic Approximations and Extension of Time-Scales , 1980 .

[15]  William L. Kath Necessary conditions for sustained reentry roll resonance , 1983 .

[16]  R. Bowen ω-Limit sets for Axiom A diffeomorphisms , 1975 .

[17]  Clark Robinson,et al.  Sustained Resonance for a Nonlinear System with Slowly Varying Coefficients , 1983 .