The local structure of a chaotic attractor in four dimensions
From MaRDI portal
Publication:1073421
DOI10.1016/0167-2789(84)90272-0zbMath0588.58037OpenAlexW2014419488MaRDI QIDQ1073421
Publication date: 1984
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(84)90272-0
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)
Related Items
The effect of boundary conditions on the onset of chaos in Rayleigh-Bénard convection using energy-conserving Lorenz models ⋮ Extensive four-dimensional chaos in a mesoscopic model of the electroencephalogram ⋮ The calculation of Lyapunov spectra ⋮ Two new approaches to computing Hopf bifurcation problems ⋮ Exponential decay of power spectra at high frequency and positive Lyapunov exponents ⋮ Solving polynomial systems ⋮ A simple homotopy for solving deficient polynomial systems ⋮ The random product homotopy and deficient polynomial systems ⋮ CONTROL OF CHAOS THROUGH AN INSTANTANEOUS LYAPUNOV EXPONENT TARGETING CONTROL ALGORITHM ⋮ The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension ⋮ Characterizing two-timescale nonlinear dynamics using finite-time Lyapunov exponents and subspaces ⋮ Travelling waves and their bifurcations in the Lorenz-96 model ⋮ Weakly nonlinear stability analysis and study of chaotic Darcy-Benard convection of a combusting fluid ⋮ Regular and chaotic Rayleigh-Bénard convective motions in methanol and water ⋮ Classification of solutions of a system of nonlinear diffusion equations in a neighborhood of a bifurcation point ⋮ Discontinuous pattern of cumulative separation between orbits of chaotic transient. ⋮ Reconstructing the state space of continuous time chaotic systems using power spectra. ⋮ Symmetries in the Lorenz-96 Model ⋮ Successive bifurcation conditions of a Lorenz-type equation for the fluid convection due to the transient thermal field ⋮ Spurious synchronization in non-diagonally coupled identical Lorenz oscillators ⋮ Multiple time-scales in nonlinear flight mechanics: diagnosis and modeling ⋮ Fundamentals of synchronization in chaotic systems, concepts, and applications ⋮ Lorenz cross sections of the chaotic attractor of the double rotor ⋮ CHAOS AND WEATHER FORECASTING: THE ROLE OF THE UNSTABLE SUBSPACE IN PREDICTABILITY AND STATE ESTIMATION PROBLEMS ⋮ A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors ⋮ A procedure for finding numerical trajectories on chaotic saddles
Cites Work