In this two-part exposition of oscillation in piecewise-linear dynamical systems, we guide the
reader from linear concepts and simple harmonic motion to nonlinear concepts and chaos. …

… variety of bifurcations and chaos. In Part I of this two-part paper, we plot the evolution of our
… In Part 11, we study bifurcations and chaos in a robust practical implementation of Chua’s …

… Nonlinear changes in phenotypes, gene frequencies or population sizes must affect the
evolution of character traits (and clades), and the ways in which we study evolution. …

… We present in this paper the first example of chaotic evolutionary dynamics in biology. We …
choices the evolutionary trajectories approach a strange attractor in the three-dimensional trait …

… of chaos to evolution is discussed in the context of the origin and maintenance of diversity and
complexity. Evolution to the edge of chaos is … evolution to the edge of chaos, we have also …

… to measure time in millennia, or for evolutionary purposes the lifetime of a species may be
… are chaos and fractals, or more accurately, the study of chaotic systems and of fractal forms. …

… If we were to describe the evolution of the classical system in terms of the probability distribution
in phase space, using the Liouville equation, we would have to search for the signatures …

… evolutionary model from law and economics by modifying it to accommodate three related
concepts - one from chaos … , and a final one from modern evolutionary theory. If I am successful…

… In this paper, the failure mode is explored in three steps according to the characteristics
of confining pressure unloading under different paths, and the specific analysis can be …

… alteration in cancer and organismal evolution; and examining genome chaos, rapid and
massive … on the Evolutionary Mechanism of Cancer. Finally, we will describe a new evolutionary …