Rapid fluctuation for topological dynamical systems

DOI10.1007/s11464-009-0030-8zbMath1189.37016OpenAlexW2022188539MaRDI QIDQ1034885

J. Blot

Publication date: 9 November 2009

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-009-0030-8

zbMATH Keywords

Hausdorff dimensiontopological horseshoequasi-shift invariant setrapid fluctuation

Mathematics Subject Classification ID

Topological dynamics (37B99) Topological entropy (37B40) Continua theory in dynamics (37B45) Symbolic dynamics (37B10)

Related Items (1)

Chaotic Oscillations of Solutions of First Order Hyperbolic Systems in 1D with Nonlinear Boundary Conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Dynamics in numerics: on a discrete predator-prey model
• Rapid fluctuations of chaotic maps on \(\mathbb {R}^N\)
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• A new characterization of nonisotropic chaotic vibrations of the one-dimensional linear wave equation with a van der Pol boundary condition.
• On redefining a snap-back repeller
• Topological horseshoes
• Homoclinic Points of Mappings of the Interval
• GROWTH RATES OF TOTAL VARIATIONS OF SNAPSHOTS OF THE 1D LINEAR WAVE EQUATION WITH COMPOSITE NONLINEAR BOUNDARY REFLECTION RELATIONS
• BOUNDARY FEEDBACK ANTICONTROL OF SPATIOTEMPORAL CHAOS FOR 1D HYPERBOLIC DYNAMICAL SYSTEMS
• CHAOTIC BEHAVIOR OF INTERVAL MAPS AND TOTAL VARIATIONS OF ITERATES
• ANALYZING DISPLACEMENT TERM'S MEMORY EFFECT IN A VAN DER POL TYPE BOUNDARY CONDITION TO PROVE CHAOTIC VIBRATION OF THE WAVE EQUATION
• RAPID FLUCTUATIONS OF SNAPSHOTS OF ONE-DIMENSIONAL LINEAR WAVE EQUATION WITH A VAN DER POL NONLINEAR BOUNDARY CONDITION

This page was built for publication: Rapid fluctuation for topological dynamical systems