Spiraling of adjacent trajectories in chaotic systems
P. V. Elyutin
Abstract
The spiraling of adjacent trajectories in chaotic dynamical systems can be characterized by distribution of local angular velocities of rotation of the displacement vector, which is governed by linearized equations of motion. This distribution, akin to that of local Lyapunov exponents, is studied for three examples of three-dimensional flows. Toy model shows that the rotation rate of adjacent trajectories influences on the rate of mixing of dynamic variables and on the sensitivity of trajectories to perturbations.
Create a lesson
Related papers
Beyond RMSE and Granger Gain: Multi-Horizon Forecast-Error Entropy for Nonlinear Predictive Coupling
Andrei Velichko
Information transfer as a new indicator of approaching local bifurcations: saddle-node, pitchfork and Hopf bifurcations
Stéphane Vannitsem, Carlos A. Pires, X. San Liang
Geometric Transition of Latent Dynamics in Intermittent Chaos: SVD-based Effective Dimension for Detection and Proactive Control
Takashi Hikihara, Tetsushi Saburi
Inferred and Residual Parameter Interactions in Syntax Dynamics
Hediye Yarahmadi, Alessandro Treves
Energy Transmission and Harmonic Propagation in Unidirectionally Coupled Plasma Oscillator Networks
K. Abirami, Miguel A. Prado-Reynoso, Miguel A. F. Sanjuán
Nonlinear Signal Transmission and Harmonic Generation in Plasma Oscillator Chain with Coupling Asymmetry
K. Abirami, Miguel A. Prado-Reynoso, Miguel A. F. Sanjuán