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Numerical, Electronic Simulations And Experimental Analysis Of A No-equilibrium Point Chaotic Circuit With Offset Boosting And Partial Amplitude Control

J. R. Mboupda Pone, Victor Kamdoum Tamba, Guillaume Kom, Mathieu Jean Pierre Pesdjock, Alain Tiedeu, Martin Kom
Published 2019 · Physics

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This paper investigates numerically and experimentally an electronic circuit modelling the dynamics of a system without equilibrium point recently introduced by Shahzad et al. (Eur Phys J Spec Top 224:1637–1652, 2015). By varying the parameters of the electronic circuit, new behaviors are found including antimonotonicity, chaotic bistable hidden attractors, chaotic bubble hidden attractors, offset boosting and partial amplitude control. Another outcome of this paper is the forward and reversed interior crisis features found in a chaotic circuit without equilibrium point. Laboratory experiments and PSIM simulations are carried out to confirm results predicted by numerical simulations.
This paper references
10.1088/1751-8113/48/12/125101
Co-existing hidden attractors in a radio-physical oscillator system
A. Kuznetsov (2015)
10.1016/J.CJPH.2017.12.012
Multi-switching dual compound synchronization of chaotic systems
Ayub Khan (2018)
10.1142/S0218127414500734
Constructing a Novel No-Equilibrium Chaotic System
V. Pham (2014)
10.2478/ACSC-2014-0022
Adaptive backstepping control, synchronization and circuit simulation of a 3-D novel jerk chaotic system with two hyperbolic sinusoidal nonlinearities
S. Vaidyanathan (2014)
10.1103/PHYSREVE.59.1593
NOISE-ENHANCED PHASE LOCKING IN A STOCHASTIC BISTABLE SYSTEM DRIVEN BY A CHAOTIC SIGNAL
A. Sil’chenko (1999)
10.1007/s00521-012-0954-x
Multistability of periodic delayed recurrent neural network with memristors
G. Bao (2012)
10.1016/0375-9601(92)90442-O
Antimonotonicity: inevitable reversals of period-doubling cascades
S. P. Dawson (1992)
10.1137/1037077
Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering (Steven H. Strogatz)
Douglas S. Shafer (1995)
10.1016/0960-0779(95)00127-1
Dynamics of impact oscillator with dry friction
Barbara Blazejczyk-Okolewska (1996)
10.1016/j.amc.2014.12.006
A review of chaos-based firefly algorithms: Perspectives and research challenges
Iztok Fister (2015)
10.1007/S11071-013-1195-Y
Regular oscillations, chaos, and multistability in a system of two coupled van der Pol oscillators: numerical and experimental studies
J. Kengne (2014)
10.1007/S11071-014-1615-7
Hyperchaos in SC-CNN based modified canonical Chua’s circuit
P. Swathy (2014)
10.1109/81.633874
An introduction to the synchronization of chaotic systems: coupled skew tent maps
M. Hasler (1997)
10.1016/J.IJLEO.2016.08.046
Variable-boostable chaotic flows
C. Li (2016)
10.1016/0167-2789(85)90011-9
DETERMINING LYAPUNOV EXPONENTS FROM A TIME SERIES
A. Wolf (1985)
10.1103/PhysRevE.89.042914
Heat conduction, and the lack thereof, in time-reversible dynamical systems: generalized Nosé-Hoover oscillators with a temperature gradient.
J. Sprott (2014)
10.3182/20100826-3-TR-4016.00009
Analytical-numerical method for attractor localization of generalized Chua's system
N. Kuznetsov (2010)
10.1109/ACCESS.2016.2572730
Wireless Chaos-Based Communication Systems: A Comprehensive Survey
G. Kaddoum (2016)
10.1007/S11071-017-3558-2
Chaos-based application of a novel no-equilibrium chaotic system with coexisting attractors
Z. Wang (2017)
10.1142/S0218127416500310
Multiscroll Chaotic Sea Obtained from a Simple 3D System Without Equilibrium
Sajad Jafari (2016)
10.1016/J.PHYSLETA.2013.11.004
Chaotic flows with a single nonquadratic term
C. Li (2014)
10.1109/TNNLS.2011.2179311
Multistability of Neural Networks With Time-Varying Delays and Concave-Convex Characteristics
Z. Zeng (2012)
10.1103/PhysRevLett.48.1507
Chaotic Attractors in Crisis
C. Grebogi (1982)
10.1007/S40435-016-0223-4
Emergence of complex dynamical behaviors in improved Colpitts oscillators: antimonotonicity, coexisting attractors, and metastable chaos
Victor Kamdoum Tamba (2017)
10.1016/0920-5632(87)90024-7
Basin boundary metamorphoses: Changes in accessible boundary orbits
C. Grebogi (1987)
10.1016/J.PHYSD.2012.05.016
Hidden attractor in smooth Chua systems
G. Leonov (2012)
10.1007/978-3-319-13132-0_4
Multi-scroll Chaotic Oscillator Based on a First-Order Delay Differential Equation
V. Pham (2015)
10.1142/S021812741550056X
A Novel No-Equilibrium Chaotic System with Multiwing Butterfly Attractors
F. Rahma (2015)
10.1088/0143-0807/26/4/003
Visualizing the attraction of strange attractors
M. Perc (2005)
10.1016/J.INS.2016.12.024
Firefly algorithm with neighborhood attraction
H. Wang (2017)
10.1007/S11071-017-3505-2
Dynamics, FPGA realization and application of a chaotic system with an infinite number of equilibrium points
E. Tlelo-Cuautle (2017)
10.3182/20130703-3-FR-4039.00026
Hidden Oscillations in Aircraft Flight Control System with Input Saturation
B. Andrievsky (2013)
10.1063/1.4960787
Experimental validation of wireless communication with chaos.
H. Ren (2016)
HIGHER-ORDER LINEAR MATRIX DESCRIPTOR DIFFERENTIAL EQUATIONS OF APOSTOL-KOLODNER TYPE
Grigoris Kalogeropoulos (2009)
BIFURCATION ROUTES TO CHAOS IN AN EXTENDED VAN DER POLSEQUATION APPLIED TO ECONOMIC MODELS
L. Pribylová (2009)
10.1016/j.amc.2018.10.090
Bifurcation analysis of two disc dynamos with viscous friction and multiple time delays
Z. Wei (2019)
10.1142/S0218127413501885
Simple Chaotic flows with One Stable equilibrium
M. Molaie (2013)
10.1016/j.compeleceng.2016.07.005
The design and realization of a new high speed FPGA-based chaotic true random number generator
Ismail Koyuncu (2017)
10.1063/1.5052496
The influence of time delay in a chaotic cancer model.
Subhas Khajanchi (2018)
10.1016/J.CNSNS.2013.09.005
On observer-based secure communication design using discrete-time hyperchaotic systems
Rania Linda Filali (2014)
An Exploration of Dynamical Systems and Chaos: Completely Revised and Enlarged Second Edition
J. Argyris (2015)
10.1016/J.PHYSREP.2014.02.007
Control of multistability
A. Pisarchik (2014)
10.1016/J.PHYSLETA.2013.01.009
Elementary quadratic chaotic flows with no equilibria
S. Jafari (2013)
10.1140/epjst/e2015-02470-3
Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion
G. Leonov (2015)
10.1007/BF00426155
Comparison of two modalities when exerting isometric contractions
J. Kahn (1985)
10.1016/0167-2789(91)90091-M
The origins of chaos in a modified Van der Pol oscillator
J. J. Healey (1991)
A NOVEL DYNAMICAL MODEL FOR GVT NONLINEAR SUPPORTING SYSTEM WITH STABLE-QUASI-ZERO-STIFFNESS
Z. Hao (2014)
10.1109/JQE.2013.2279261
Heterodyne Random Bit Generation Using an Optically Injected Semiconductor Laser in Chaos
Xiao-Zhou Li (2013)
10.1142/S0218127414501466
Is that Really Hidden? The Presence of Complex Fixed-Points in Chaotic Flows with No Equilibria
V. Pham (2014)
10.1142/S0218127413300024
Hidden attractors in Dynamical Systems. From Hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman Problems to Hidden Chaotic Attractor in Chua Circuits
G. Leonov (2013)
10.1142/S0218127416500814
Coexistence of Multiple Attractors and Crisis Route to Chaos in a Novel Chaotic Jerk Circuit
J. Kengne (2016)
10.1016/j.image.2014.04.001
A new hyperchaotic map and its application in an image encryption scheme
R. Boriga (2014)
10.1007/S11071-016-2989-5
Multi-scroll hidden attractors in improved Sprott A system
X. Hu (2016)
10.1103/PhysRevA.33.4253
Canonical dynamics of the Nosé oscillator: Stability, order, and chaos.
Posch (1986)
10.1016/j.chaos.2018.03.033
Is type 1 diabetes a chaotic phenomenon
J. Ginoux (2018)
10.1140/EPJP/I2014-14076-4
Three-dimensional chaotic autonomous system with only one stable equilibrium: Analysis, circuit design, parameter estimation, control, synchronization and its fractional-order form
S. T. Kingni (2014)
10.1140/EPJST/E2015-02485-8
Synchronization and circuit design of a chaotic system with coexisting hidden attractors
M. Shahzad (2015)



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