HORSESHOE CHAOS IN A HYBRID PLANAR DYNAMICAL SYSTEM

DOI10.1142/S0218127412502021zbMath1258.34033MaRDI QIDQ4907029

Qing-Ju Fan

Publication date: 1 March 2013

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

zbMATH Keywords

chaoshybrid systemsbuck convertertopological horseshoe

Mathematics Subject Classification ID

Discontinuous ordinary differential equations (34A36) Topological entropy (37B40) Complex behavior and chaotic systems of ordinary differential equations (34C28) Symbolic dynamics (37B10) Hybrid systems of ordinary differential equations (34A38)

Related Items (6)

Local bifurcation analysis and topological horseshoe of a 4D hyper-chaotic system ⋮ Horseshoes in 4-dimensional piecewise affine systems with bifocal heteroclinic cycles ⋮ A note on hidden transient chaos in the Lorenz system ⋮ On the analysis of local bifurcation and topological horseshoe of a new 4D hyper-chaotic system ⋮ Horseshoe chaos in a 3D neural network with different activation functions ⋮ New bifurcations in the simplest passive walking model

Cites Work

• Unnamed Item
• Limit cycles and chaotic invariant sets in autonomous hybrid planar systems
• Horseshoes in piecewise continuous maps
• Metric horseshoes
• Existence of horseshoe maps in current-mode controlled buck-boost dc/dc converters
• Topological horseshoes
• A planar topological horseshoe theory with applications to computer verifications of chaos
• TOPOLOGICAL HORSESHOES AND COMPUTER ASSISTED VERIFICATION OF CHAOTIC DYNAMICS
• Bifurcations and chaos in converters. Discontinuous vector fields and singular Poincaré maps
• ON ENTROPY OF CHUA'S CIRCUITS
• EXISTENCE OF HORSESHOES AND HOMOCLINIC CONNECTIONS IN DC/DC CONVERTERS
• HORSESHOE CHAOS IN CELLULAR NEURAL NETWORKS

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