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The nature of Lyapunov exponents is (+,+,−,−). Is it a hyperchaotic system?
This review paper aims at answering a basic question on the sign of Lyapunov exponents. A
few recent papers reported hyperchaotic system having the sign of Lyapunov exponents as …
few recent papers reported hyperchaotic system having the sign of Lyapunov exponents as …
Dynamical analysis, stabilization and discretization of a chaotic fractional-order GLV model
In this paper, the fractional-order generalized Lotka–Volterra (GLV) model and its
discretization are investigated qualitatively. A sufficient condition for existence and …
discretization are investigated qualitatively. A sufficient condition for existence and …
A new 3D chaotic system: dynamical analysis, electronic circuit design, active control synchronization and chaotic masking communication application
This study presents a new three dimensional continuous time chaotic system. Dynamical
analysis and numerical simulation of the new chaotic system were first carried out. Then …
analysis and numerical simulation of the new chaotic system were first carried out. Then …
Bifurcation analysis and circuit realization for multiple-delayed Wang–Chen system with hidden chaotic attractors
In this paper, we investigate the effect of multiple delays on the 3-D simple chaotic system
with hidden chaotic attractors coexisting with one stable equilibrium by Wang and Chen. In …
with hidden chaotic attractors coexisting with one stable equilibrium by Wang and Chen. In …
Dynamical analysis and circuit simulation of a new fractional-order hyperchaotic system and its discretization
This paper presents an analytical framework to investigate the dynamical behavior of a new
fractional-order hyperchaotic circuit system. A sufficient condition for existence, uniqueness …
fractional-order hyperchaotic circuit system. A sufficient condition for existence, uniqueness …
Neuroadaptive optimal fixed-time synchronization and its circuit realization for unidirectionally coupled FO self-sustained electromechanical seismograph systems
S Luo, Y Song, FL Lewis… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This article investigates the neuroadaptive optimal fixed-time synchronization and its circuit
realization along with dynamical analysis for unidirectionally coupled fractional-order (FO) …
realization along with dynamical analysis for unidirectionally coupled fractional-order (FO) …
Topological horseshoe analysis on a four-wing chaotic attractor and its FPGA implement
E Dong, Z Liang, S Du, Z Chen - Nonlinear Dynamics, 2016 - Springer
For a three-dimensional autonomous four-wing chaotic attractor, this paper rigorously
verifies its chaotic properties by using topological horseshoe theory and numerical …
verifies its chaotic properties by using topological horseshoe theory and numerical …
Further nonlinear dynamical analysis of simple jerk system with multiple attractors
This paper presents an analytical framework to investigate the dynamical behavior of a
recent chaotic jerk model with multiple attractors. The methods of analytical analysis are …
recent chaotic jerk model with multiple attractors. The methods of analytical analysis are …
Design and hardware implementation of a new chaotic secure communication technique
L ** control and Takagi–Sugeno fuzzy approaches
AE Matouk - Complexity, 2016 - Wiley Online Library
In this article, based on the stability theory of fractional‐order systems, chaos
synchronization is achieved in the fractional‐order modified Van der Pol–Duffing system via …
synchronization is achieved in the fractional‐order modified Van der Pol–Duffing system via …