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- W4244683896 abstract "This chapter presents preface to the book “Coupled Nonlinear Oscillators.” A knowledge of the behavior of idealized nonlinearly-coupled oscillators can provide fundamental understanding of the behavior of more complicated discrete or continuous systems. These oscillators display transitions to quasi-periodic states, reverse bifurcation to phase-locked periodic states and chaotic behavior. The chapter discusses transitions in weakly-coupled nonlinear oscillators, a class of singularly perturbed delay-differential equation which describes an optically bistable device, various cases where chaos appears in simple laser systems, general solutions of a truncated Navier-Stokes equation on a two dimensional torus, singular perturbation techniques to obtain expressions for the response of a point junction which are accurate even when resonance occurs, numerical study of a Sine-Gordon model of the Josephson tunnel junction and comparison with experimental observations with different length-to-Josephson-penetration depth ratios, several results on three models proposed as descriptive of pulse propagation through molecular media, the properties of dynamics of the Jaynes-Cummings model in certain irregular regime, and some dynamic aspects of interrupted coarse-graining in stimulated excitation of vibronic bands." @default.
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- W4244683896 date "1983-01-01" @default.
- W4244683896 modified "2023-09-23" @default.
- W4244683896 title "Preface" @default.
- W4244683896 doi "https://doi.org/10.1016/s0304-0208(08)70966-6" @default.
- W4244683896 hasPublicationYear "1983" @default.
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