DynamicalSystems.jl: A Julia software library for chaos and nonlinear dynamics

Nonlinear Dynamics and Chaos

Throughout much of ecology’s history, most ecologists have believed that ecological systems tend towards an equilibrium – a notion popularized as ‘the balance of nature’ – and that deviations from that equilibrium are caused by external perturbations. By assuming that systemswere close to equilibrium, ecologists coulddescribe them with linear models that were mathematically tractable. However, ...

Chaos without nonlinear dynamics.

A linear, second-order filter driven by randomly polarized pulses is shown to generate a waveform that is chaotic under time reversal. That is, the filter output exhibits determinism and a positive Lyapunov exponent when viewed backward in time. The filter is demonstrated experimentally using a passive electronic circuit, and the resulting waveform exhibits a Lorenz-like butterfly structure. Th...

Teaching Nonlinear Dynamics and Chaos for Beginners

We describe a course in Nonlinear Dynamics for undergraduate students of the first years of Chemical Engineering, Environmental Sciences and Computer Sciences. An extensive use of computational tools, the internet and laboratory experiments are key ingredients of the course. Even though their previous background in physics and mathematics might be limited, our experience shows that an appropria...

Modeling Nonlinear Dynamics and Chaos: A Review

Experimental approach to nonlinear dynamics and chaos

Any books that you read, no matter how you got the sentences that have been read from the books, surely they will give you goodness. But, we will show you one of recommendation of the book that you need to read. This experimental approach to nonlinear dynamics and chaos is what we surely mean. We will show you the reasonable reasons why you need to read this book. This book is a kind of preciou...