Analysis of unstable periodic orbits and chaotic orbits in the one-dimensional linear piecewise-smooth discontinuous map

DOI10.1063/1.4929382zbMath1374.37062OpenAlexW1499626984WikidataQ51664829 ScholiaQ51664829MaRDI QIDQ4591758

Santanu Bandyopadhyay, Harish K. Pillai, Bhooshan Rajpathak

Publication date: 17 November 2017

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4929382

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems involving maps of the interval (37E05)

Related Items (1)

Analysis of atypical orbits in one-dimensional piecewise-linear discontinuous maps

Cites Work

• Occurrence of multiple attractor bifurcations in the two-dimensional piecewise linear normal form map
• Coexistence of the bandcount-adding and bandcount-increment scenarios
• Border-collision bifurcations in a generalized piecewise linear-power map
• Border collision bifurcations in discontinuous one-dimensional linear-hyperbolic maps
• On the existence of low-period orbits in \(n\)-dimensional piecewise linear discontinuous maps
• Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• Bifurcation analysis of an inductorless chaos generator using 1D piecewise smooth map
• Piecewise-smooth dynamical systems. Theory and applications
• Bistability and border-collision bifurcations for a family of unimodal piecewise smooth maps
• Doubling of the oscillation period with C-bifurcations in piecewise-continuous systems
• Analysis of stable periodic orbits in the one dimensional linear piecewise-smooth discontinuous map
• CALCULATION OF BIFURCATION CURVES BY MAP REPLACEMENT
• Multi-parametric bifurcations in a piecewise–linear discontinuous map
• On the fully developed bandcount adding scenario
• BORDER-COLLISION BIFURCATIONS IN ONE-DIMENSIONAL DISCONTINUOUS MAPS
• Bifurcation phenomena in two-dimensional piecewise smooth discontinuous maps
• Simultaneous border-collision and period-doubling bifurcations
• Border collision bifurcations in a two-dimensional piecewise smooth map from a simple switching circuit
• Dynamics of a piecewise linear map with a gap

This page was built for publication: Analysis of unstable periodic orbits and chaotic orbits in the one-dimensional linear piecewise-smooth discontinuous map