BIFURCATION STRUCTURES IN A BIMODAL PIECEWISE LINEAR MAP: REGULAR DYNAMICS

DOI10.1142/S0218127413300401zbMath1284.37031OpenAlexW4248618139WikidataQ57627212 ScholiaQ57627212MaRDI QIDQ5407260

Anastasiia Panchuk, Viktor Avrutin, Björn Schenke, Iryna Sushko

Publication date: 7 April 2014

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

Full work available at URL: https://doi.org/10.1142/s0218127413300401

zbMATH Keywords

border collision bifurcationborder collision normal formperiod adding bifurcation structurebimodal piecewise linear map

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Cites Work

• Heterogeneous speculators and asset price dynamics: Further results from a one-dimensional discontinuous piecewise-linear map
• Border collision bifurcations and chaotic sets in a two-dimensional piecewise linear map
• Bifurcation structure of parameter plane for a family of unimodal piecewise smooth maps: Border-collision bifurcation curves
• Growing through chaotic intervals
• On unimodal linear transformations and chaos. II
• ``Period three to period two bifurcation for piecewise linear models
• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• The Hicksian floor-roof model for two regions linked by interregional trade
• Piecewise-smooth dynamical systems. Theory and applications
• Bifurcations in one-dimensional piecewise smooth maps-theory and applications in switching circuits
• Nonsmooth bifurcations in a piecewise-linear model of the Colpitts oscillator
• PERIOD ADDING IN PIECEWISE LINEAR MAPS WITH TWO DISCONTINUITIES
• BORDER-COLLISION BIFURCATIONS IN 1D PIECEWISE-LINEAR MAPS AND LEONOV'S APPROACH
• CALCULATION OF BIFURCATION CURVES BY MAP REPLACEMENT
• BIFURCATIONS AND CHAOS IN A FOUR-DIMENSIONAL MECHANICAL SYSTEM WITH DRY FRICTION
• BIFURCATIONS OF ATTRACTING CYCLES FROM TIME-DELAYED CHUA’S CIRCUIT
• BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
• CYCLES OF CHAOTIC INTERVALS IN A TIME-DELAYED CHUA'S CIRCUIT
• Border-collision bifurcations in the buck converter
• PIECEWISE TWO-DIMENSIONAL MAPS AND APPLICATIONS TO CELLULAR NEURAL NETWORKS
• Growing Through Cycles
• DEGENERATE BIFURCATIONS AND BORDER COLLISIONS IN PIECEWISE SMOOTH 1D AND 2D MAPS
• Bifurcations in nonlinear discontinuous systems

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