NONLINEAR SCIENCE

By SOPHIA BROWN

PERTURBATION THEORIES FOR NONLINEAR WAVES JOSEPHSON DEVICES JOSEPHSON FLUX-FLOW OSCILLATORS MICROWAVE FIELDS COUPLED STRUCTURES LONG JOSEPHSON JUNCTIONS STACKED JOSEPHSON JUNCTIONS DYNAMICS VORTICES TWO-DIMENSIONAL MAGNETS SPATIAL OPTICAL SOLITONS NONLINEAR FIBER OPTICS SELF-FOCUSING AND COLLAPSE LIGHT BEAMS NONLINEAR DISPERSIVE MEDIA COHERENT STRUCTURES DISSIPATIVE NONLINEAR OPTICAL SYSTEMS SOLITONS OPTICAL MEDIA WITH QUADRATIC NONLINEARITY NONLINEAR MODELS FOR THE DYNAMICS TOPOLOGICAL DEFECTS SOLIDS BREATHERS AND APPLICATIONS SCALE COMPETITION NONLINEAR SCHR¨ODINGER MODELS DEMONSTRATION SYSTEMS FOR KINK-SOLITONS QUANTUM LATTICE SOLITONS NOISE MOLECULAR SYSTEMS NONLINEAR DYNAMICS DNA FROM THE FPU CHAIN BIOMOLECULAR DYNAMICS MUTUAL DYNAMICS SWIMMING MICROORGANISMS AND THEIR FLUID HABITAT NONLINEARITIES IN BIOLOGY: THE BRAIN AS EXAMPLE