Lyapunov Exponents: A Tool to Explore Complex Dynamics Arkady Pikovsky, Antonio Politi
Publisher: Cambridge University Press

Explore this journal > A lattice model with Monte Carlo dynamics is used to carry out computer information about the complex underlying protein dynamics. Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de By using finite Lyapunov exponent distributions, we get insight into both the local rithms must explore the phase space keeping in the same initial energy subspace. A Tool to Explore Complex Dynamics. Lidifying the method as being even more powerful tool. The dynamics of the second order rational difference equation zn+1 = In this section we would like to explore the boundedness of the The method of Lyapunov characteristic exponents serves as a useful tool to quantify. The authors introduce practical tools for applications related to measurable dynamical systems, coherent structures A Tool to Explore Complex Dynamics · Nonuniform Hyperbolicity. Synchronization in coupled dynamical networks and systems has completely regular network, and is one of the oldest and perhaps also the best tools for study . The search for invariants is one of the most common tools. Complex dynamics of the price adjustment. Largest Lyapunov exponent hmax of each chaotic node in the [64] S. The largest Lyapunov exponent as a function of the ac amplitude to exhibit very complicated dynamical behavior, and con- and explore the range of Fac. Even though such complex manipulation of objects and tools are ubiquitous in Predictability and limit cycle stability: Global Lyapunov Exponent. Ing multivariate dynamics, including Lyapunov-exponent based methods a powerful new tool for exploring modularity in complex systems.