Different aspects of the predictability problem in dynamical systems are reviewed. The deep
relation among Lyapunov exponents, Kolmogorov–Sinai entropy, Shannon entropy and …

Chaos: from simple models to complex systems aims to guide science and engineering
students through chaos and nonlinear dynamics from classical examples to the most recent …

In dynamical systems, the growth of infinitesimal perturbations is well characterized by the
Lyapunov exponents. In many situations of interest, however, important phenomena involve …

Chaos in science has always been a fascinating realm since it challenges the usual
scientific approach of reductionism. While carefully distinguishing between complexity …

Large populations of interacting active elements, periodic or chaotic, can undergo
spontaneous transitions to dynamically ordered states. These collective states are …

Experiments on chaotically oscillating arrays of 64 nickel electrodes in sulfuric acid were
carried out. External resistors in parallel and series are added to vary the extent of global …

In a recent numerical study, Gang et al.[Phys. Rev. Lett. 71, 807 (1993)] presented the first
example of stochastic resonance in an autonomous system. They considered a two-variable …

By interpreting a temporal network as a trajectory of a latent graph dynamical system, we
introduce the concept of dynamical instability of a temporal network and construct a measure …

An algorithm to characterize collective motion as the orbital instability at a macroscopic level
is presented, including the introduction of “collective Lyapunov exponent.” By applying the …

Numerical experiments of a globally coupled oscillator system show that one type of
collective chaos of high dimension has discrete and continuous parts in its Lyapunov …