Concepedia

Border collision bifurcations and power spectral density of chaotic signals generated by one-dimensional discontinuous piecewise linear maps

Kais Feltekh, Zouhair Ben Jemaa, Danièle Fournier-Prunaret, Safya Belghith

Communications in Nonlinear Science and Numerical Simulation · 2014 · 11 citations · 19 references

Concepts

Natural SciencesMathematicsPhysicsComplex SystemsDynamical SystemsBifurcation TheoryChaos TheoryDissipative SystemsIterated MapsLyapunov ExponentsNonlinear DynamicsChaos In Dynamical SystemsChaotic AttractorsChaotic DynamicsChaotic MapsOne-dimensional MapsPiecewise Linear MapsPower Spectral DensityPower Spectral Density Analysis

References

19

Digital processing of speech signals

Pattern Recognition · 1980 · 2.6K citations

Natural Sciences, Computer Science, Electrical Engineering +14

Digital Processing of Speech Signals

M.H. Ackroyd · Electronics and Power · 1979 · 2.4K citations

Natural Sciences, Computer Science, Electrical Engineering +14

Border-collision bifurcations including “period two to period three” for piecewise smooth systems

Helena E. Nusse, James A. Yorke · Physica D Nonlinear Phenomena · 1992 · 490 citations

Natural Sciences, Mathematics, Physics +14

BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS

Helena E. Nusse, James A. Yorke · International Journal of Bifurcation and Chaos · 1995 · 292 citations

Natural Sciences, Mathematics, Physics +17

Local Analysis of C-bifurcations in n-dimensional piecewise smooth dynamical systems

Mario di Bernardo, M.I. Feigin, S. J. Hogan et al. · Bristol Research (University of Bristol) · 1999 · 287 citations

Natural Sciences, Mathematics, Physics +14