Chaos in a four-variable piecewise-linear system of differential equations

J.L. Hudson; O.E. Rossler; H.C. Killory

doi:10.1109/31.1835

Chaos in a four-variable piecewise-linear system of differential equations

IEEE Transactions on Circuits and Systems ◽

10.1109/31.1835 ◽

1988 ◽

Vol 35 (7) ◽

pp. 902-908 ◽

Cited By ~ 17

Author(s):

J.L. Hudson ◽

O.E. Rossler ◽

H.C. Killory

Keyword(s):

Linear System ◽

Differential Equations ◽

Piecewise Linear ◽

System Of Differential Equations ◽

Piecewise Linear System

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Chaos in a manifold piecewise linear system

Electrical Engineering in Japan ◽

10.1002/ecja.4400641003 ◽

1981 ◽

Vol 64 (10) ◽

pp. 9-17 ◽

Cited By ~ 3

Author(s):

Toshimichi Saito ◽

Hiroichi Fujita

Keyword(s):

Linear System ◽

Piecewise Linear ◽

Piecewise Linear System

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The General Solution of Control Problem for Linear System of Differential Equations with Boundary Conditions

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v35.i7.20 ◽

2003 ◽

Vol 35 (7) ◽

pp. 15-21

Author(s):

Sergey A. Bublik

Keyword(s):

Linear System ◽

General Solution ◽

Differential Equations ◽

Boundary Conditions ◽

Control Problem ◽

System Of Differential Equations

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A two-directional grid multiscroll hidden attractor based on piecewise linear system and its application in pseudo-random bit generator

Integration ◽

10.1016/j.vlsi.2021.04.011 ◽

2021 ◽

Author(s):

Jesus R. Pulido-Luna ◽

Jorge A. López-Rentería ◽

Nohe R. Cazarez-Castro ◽

Eric Campos

Keyword(s):

Linear System ◽

Piecewise Linear ◽

Hidden Attractor ◽

Piecewise Linear System ◽

Random Bit Generator

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Time Historical Analysis Method for Stiff Piecewise-Linear System

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C ◽

10.1299/kikaic.63.1118 ◽

1997 ◽

Vol 63 (608) ◽

pp. 1118-1124 ◽

Cited By ~ 2

Author(s):

Etsujiro IMANISHI ◽

Eiko HIROOKA ◽

Yoshio INOUE

Keyword(s):

Linear System ◽

Piecewise Linear ◽

Historical Analysis ◽

Analysis Method ◽

Piecewise Linear System

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Safety Verification of AMS Circuits with Piecewise-Linear System Reachability Analysis

10.1109/isocc53507.2021.9614029 ◽

2021 ◽

Author(s):

Seyoung Kim ◽

Heechun Park ◽

Jaeha Kim

Keyword(s):

Linear System ◽

Piecewise Linear ◽

Reachability Analysis ◽

Safety Verification ◽

Piecewise Linear System

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Forced Periodic Solutions of a Stable Non-Linear System of Differential Equations

Journal of Mathematics and Physics ◽

10.1002/sapm1950291300 ◽

1950 ◽

Vol 29 (1-4) ◽

pp. 300-302 ◽

Cited By ~ 5

Author(s):

A. B. Farnell ◽

C. E. Langenhop ◽

N. Levinson

Keyword(s):

Linear System ◽

Differential Equations ◽

Periodic Solutions ◽

System Of Differential Equations ◽

Non Linear ◽

Non Linear System

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Chaos in a Piecewise Linear System with Periodic Oscillations

Discontinuity and Complexity in Nonlinear Physical Systems - Nonlinear Systems and Complexity ◽

10.1007/978-3-319-01411-1_16 ◽

2013 ◽

pp. 305-313

Author(s):

Chunqing Lu

Keyword(s):

Linear System ◽

Piecewise Linear ◽

Periodic Oscillations ◽

Piecewise Linear System

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A dynamic model and system-theoretic analysis of affect based on a Piecewise Linear system

RO-MAN 2009 - The 18th IEEE International Symposium on Robot and Human Interactive Communication ◽

10.1109/roman.2009.5326288 ◽

2009 ◽

Cited By ~ 1

Author(s):

Michelle Karg ◽

Stephan Haug ◽

Kolja Kuhnlenz ◽

Martin Buss

Keyword(s):

Linear System ◽

Dynamic Model ◽

Piecewise Linear ◽

Theoretic Analysis ◽

Piecewise Linear System

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Strange nonchaotic attractors in a periodically forced piecewise linear system with noise

Fractals ◽

10.1142/s0218348x22500037 ◽

2021 ◽

Author(s):

Gaolei Li ◽

Yuan Yue ◽

Celso Grebogi ◽

Denghui Li ◽

Jianhua Xie

Keyword(s):

Linear System ◽

Piecewise Linear ◽

Piecewise Linear System ◽

Strange Nonchaotic Attractors

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Chaotic Synchronization of Fractional Piecewise Linear System by Fractional Order SMC

IFAC Proceedings Volumes ◽

10.3182/20130204-3-fr-4032.00015 ◽

2013 ◽

Vol 46 (1) ◽

pp. 474-479 ◽

Cited By ~ 5

Author(s):

Wenjuan Wu ◽

Ning Chen ◽

Nan Chen

Keyword(s):

Linear System ◽

Fractional Order ◽

Piecewise Linear ◽

Chaotic Synchronization ◽

Piecewise Linear System

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