SHADOWING AND DYNAMICAL SYNTHESIS

DOI10.1142/S0218127409024797zbMath1182.34009MaRDI QIDQ5305129

Marat U. Akhmet

Publication date: 19 March 2010

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

sensitivityshadowing propertyimpulsive systemsintermittencyhyperbolic setsdynamical synthesisDevaney's ingredients

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (5)

Extension of spatiotemporal chaos in glow discharge-semiconductor systems ⋮ Chaotic period-doubling and OGY control for the forced Duffing equation ⋮ Replication of chaos ⋮ Poincaré chaos and unpredictable functions ⋮ Entrainment by chaos

Cites Work

• Unnamed Item
• Unnamed Item
• Devaney's chaos of a relay system
• Is every approximate trajectory of some process near an exact trajectory of a nearby process?
• Do numerical orbits of chaotic dynamical processes represent true orbits?
• \(\omega\)-limit sets for axiom A diffeomorphisms
• On the general problem of stability for impulsive differential equations.
• Li-Yorke chaos in the system with impacts
• DYNAMICAL SYNTHESIS OF QUASI-MINIMAL SETS
• DYNAMICAL SYNTHESIS OF POINCARÉ MAPS

This page was built for publication: SHADOWING AND DYNAMICAL SYNTHESIS