On strange nonchaotic attractors and their dimensions

DOI10.1016/0960-0779(91)90056-FzbMath0739.58042MaRDI QIDQ1177077

Tomasz Kapitaniak

Publication date: 25 June 1992

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

dynamical systemschaotic strange attractorsnonchaotic strange attractors

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (15)

Chaotic streamlines and a strange nonchaotic attractor in divergence-free flows on the 3-sphere ⋮ Statistical mechanics of multi-dimensional Cantor sets, Gödel theorem and quantum spacetime ⋮ Dynamic analysis of a Lü model in six dimensions and its projections ⋮ Nonlinear response of a forced van der Pol-Duffing oscillator at non-resonant bifurcations of codimension two ⋮ Existence and characterization of strange nonchaotic attractors in nonlinear systems ⋮ Bifurcation and chaotic attractors for nonlinear torus-like coupled maps ⋮ Multi-dimensional Cantor sets in classical and quantum mechanics ⋮ Controlling chaotic oscillators without feedback ⋮ Chaotic motion versus stochastic excitation ⋮ Mathematical model for chaos and ergodic criticality in four dimensions ⋮ Associative dynamics in a chaotic neural network. ⋮ Cantorian distance, statistical mechanics and universal behaviour of multi-dimensional triadic sets ⋮ Complex behaviour of a quasiperiodically forced experimental system with dry friction ⋮ Weighted recurrence networks for the analysis of time-series data ⋮ On the route to strangeness without chaos in the quasiperiodically forced van der Pol oscillator.

Cites Work

• Determining Lyapunov exponents from a time series
• Peano dynamics as a model for ergodic and strange nonchaotic behaviour
• Mathematical model for chaos and ergodic criticality in four dimensions
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On strange nonchaotic attractors and their dimensions