Homoclinic transition to chaos in the Ueda oscillator with external forcing
Grzegorz Litak, Arkadiusz Syta, Marek Borowiec
Abstract
We examine the Melnikov criterion for transition to chaos in case of a single degree of freedom nonlinear oscillator with the Ueda well potential and an external periodic excitation term. Using effective Hamiltonian we have examined homoclinic orbits and cross-sections of stable and unstable manifolds which gave the condition of transition to chaos through a homoclinic bifurcation.
Create a lesson
Related papers
Exploring continuous beta-ensembles: A Python implementation for random matrix spectral statistics
Dorin Weissman
Mutual information-entropy plane: a new quantifier space for time series analysis
Gonzalez Acosta Gaspar, Kowalski Andrés M
Characterization of Chaotic Evolution in Quantum Systems Induced by Random Hermitian Matrices
Arkady Kurnosov, Sven Gnutzmann, Uzy Smilansky
Noise Effects on Ordinal Pattern Statistics via Majorization
Facundo Sapienza
Synchronization induces Bell violations in a model of walking droplets
Álvaro G. López, Rahil N. Valani, Yuanmei Li et al.
Identifying the structure of dynamical transitions in logistic map
Aswin Balaji, Shruti Tandon, Shwetha Viswesh et al.