Nonlinear Physics with Maple for Scientists and Engineers

Part 1 Theory: introduction; non-linear systems - part I; non-linear systems - part II; topological analysis; analytic methods; the numerical approach; limit cycles; forced oscillators; non-linear maps; non-linear PDE phenomena; numerical simulation; inverse scattering method. Part 2 Experimental activities: introduction to non-linear experiments - spin toy pendulum; driven eardrum; non-linear damping; enharmonic potential; iron core inductor; non-linear LRC circuit; tunnel diode negative resistance curve; tunnel diode self-excited oscillator; forced Duffing equation; focal point instability; compound pendulum; stable limit cycle; Van der Pol limit cycle relaxation oscillations - neon bulb; relaxation oscillations - drinking bird; relaxation oscillations - tunnel diode; hard spring; non-linear resonance curve - mechanical; non-linear resonance curve - electrical; non-linear resonance curve - magnetic; sub-harmonic response - period doubling; diode - period doubling; five-well magnetic potential; power spectrum; entrainment and quasiperiodicity; quasiperiodicity; Chua's butterfly; route to chaos; driven spin toy; mapping.