Riddling bifurcations in coupled piecewise linear maps

DOI10.1016/S0167-2789(98)00249-8zbMath0964.37031OpenAlexW2082762651MaRDI QIDQ1808245

Tomasz Kapitaniak, Yuri Maistrenko

Publication date: 6 December 1999

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)00249-8

zbMATH Keywords

bifurcationbasin of attractionsynchronizationriddled basinschaotic system

Mathematics Subject Classification ID

Qualitative investigation and simulation of models involving functional-differential equations (34K60) Dynamical aspects of attractors and their bifurcations (37G35) Bifurcation theory of functional-differential equations (34K18)

Related Items

Mixed Synchronization in the Presence of Cyclic Chaos ⋮ A special bifurcation of riddled basin in two coupled skew tent maps ⋮ Unnamed Item ⋮ The stability of fixed points on switching manifolds of piecewise-smooth continuous maps ⋮ Stability and transverse manifolds of periodic points for coupled maps

Uses Software

• Dynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Explicit renormalisation in piecewise linear bimodal maps
• On the concept of attractor
• The transition to chaotic attractors with riddled basins
• On the unfolding of a blowout bifurcation
• Dynamics: numerical explorations. Accompanying computer program Dynamics 2. Coauthored by Brian R. Hunt and Eric J. Kostelich. With 3 1/2 DOS Diskette.
• Bubbling of attractors and synchronisation of chaotic oscillators
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. II: The Mapping Approach
• EXPERIMENTAL SYNCHRONIZATION OF CHAOS USING CONTINUOUS CONTROL
• RIDDLED BASINS
• TRANSMISSION OF DIGITAL SIGNALS BY CHAOTIC SYNCHRONIZATION
• MONOTONE SYNCHRONIZATION OF CHAOS
• SYNCHRONIZING CHAOS FROM ELECTRONIC PHASE-LOCKED LOOPS
• BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
• Synchronization in chaotic systems