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Based on a lecture course, this text gives a rigorous introduction to nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory.

This textbook gives a contemporary account of singularity theory and its principal application, bifurcation theory.

Based on a lecture course, this text gives a rigorous introduction to nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory.

Mathematical models have long been used by geographers and regional scientists to explore the working of urban and regional systems, via a system where the equi

Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on proper