Regarded less than two decades ago as the province of theoreticians and understood
mainly in terms of a single-step, exothermic, homogeneous reaction in a well-stirred vessel …

It has been over a decade since the release of the now classic original edition of Murray's
Mathematical Biology. Since then mathematical biology has grown at an astonishing rate …

7. Chemical Turbulence Page 1 7. Chemical Turbulence Reaction-diffusion systems are
expected to show spatio-temporal chaos in various circumstances. A few specific cases will be …

This book treats stochastic motion in nonlinear oscillator systems. It describes a rapidly
growing field of nonlinear mechanics with applications to a number of areas in science and …

A turbulent state in a distributed chemical reaction system is studied theoretically. The
chaotic behavior here is basically due to the unstable growth of a spatial inhomogeneity …

Complex system simulation has been playing an irreplaceable role in understanding,
predicting, and controlling diverse complex systems. In the past few decades, the multi-scale …

While it is known that 3-variable continuous dynamical systems are 'infinitely'richer in their
behavioral capabilities than two-variable ones (see, eg,(1)), a systematic attempt at finding …

Learning the governing equations in dynamical systems from time-varying measurements is
of great interest across different scientific fields. This task becomes prohibitive when such …

A chain of n+1 weakly coupled oscillators with a linear gradient in natural frequencies is
shown to exhibit “frequency plateaus,” or sequences of oscillators having the same …

A systematic and comprehensive introduction to the study of nonlinear dynamical systems,
in both discrete and continuous time, for nonmathematical students and researchers working …