Multi-scale continuum mechanics: From global bifurcations to noise induced high-dimensional chaos

DOI10.1063/1.1651691zbMath1080.37096OpenAlexW2040597223WikidataQ44930460 ScholiaQ44930460MaRDI QIDQ5705408

David S. Morgan, Lora Billings, Ira B. Schwartz, Ying-Cheng Lai

Publication date: 8 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1651691

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (5)

Dimensional implications of dynamical data on manifolds to empirical KL analysis ⋮ Lyapunov analysis of the spatially discrete-continuous system dynamics ⋮ Synchronization and time shifts of dynamical patterns for mutually delay-coupled fiber ring lasers ⋮ Noise induced destruction of zero Lyapunov exponent in coupled chaotic systems ⋮ Propagation effects of current and conductance noise in a model neuron with subthreshold oscillations

Cites Work

• The variational multiscale method -- a paradigm for computational mechanics
• Unstable dimension variability: A source of nonhyperbolicity in chaotic systems
• Optimal control of deployment of a tethered subsatellite
• Exciting chaos with noise: unexpected dynamics in epidemic outbreaks
• Stochastic dynamics of parametrically excited two d.o.f. systems with symmetry
• TOWARD AN UNDERSTANDING OF STOCHASTIC HOPF BIFURCATION
• Moment Lyapunov Exponent and Stochastic Stability of Two Coupled Oscillators Driven by Real Noise
• Normal Modes for Non-Linear Vibratory Systems
• Dynamics of Large Scale Coupled Structural/ Mechanical Systems: A Singular Perturbation/ Proper Orthogonal Decomposition Approach
• Evaluation of Proper Orthogonal Decomposition--Based Decomposition Techniques Applied to Parameter-Dependent Nonturbulent Flows
• Invariant manifolds, nonclassical normal modes, and proper orthogonal modes in the dynamics of the flexible spherical pendulum

This page was built for publication: Multi-scale continuum mechanics: From global bifurcations to noise induced high-dimensional chaos