2-d Quadratic Maps And 3-d Ode Systems: A Rigorous Approach

af Julien Clinton (Univ Of Wisconsin-madison Sprott, m.fl.

This book is based on research on the rigorous proof of chaos and bifurcations in 2-D quadratic maps, especially the invertible case such as the Hnon map, and in 3-D ODE's, especially piecewise linear systems such as the Chua's circuit. In addition, the book covers some recent works in the field of general 2-D quadratic maps, especially their classification into equivalence classes, and finding regions for chaos, hyperchaos, and non-chaos in the space of bifurcation parameters. Following the mai... (Læs mere)