Covers most of the mathematically simple systems of differential equations whose solutions are chaotic. This work includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rossler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant.
Covers most of the mathematically simple systems of differential equations whose solutions are chaotic. This work includes the historically important ...
Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhoods in the parameter space of a dynamical system. This book explores the definition, sources, and roles of robust chaos. It is suitable for both readers and researchers in nonlinear science in general, and chaos theory in particular.
Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhoods in the parameter space of a dynamical syste...
This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rössler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to...
This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. ...
Julien Clinton Sprott William Graham Hoover Carol Griswold Hoover
A recent development is the discovery that simple systems of equations can have chaotic solutions in which small changes in initial conditions have a large effect on the outcome, rendering the corresponding experiments effectively irreproducible and unpredictable. An earlier book in this sequence, Elegant Chaos: Algebraically Simple Chaotic Flows provided several hundred examples of such systems, nearly all of which are purely mathematical without any obvious connection with actual physical processes and with very limited discussion and analysis.In this book, we focus on a much smaller subset...
A recent development is the discovery that simple systems of equations can have chaotic solutions in which small changes in initial conditions have a ...
