The nature of Lyapunov exponents is (+,+,−,−). Is it a hyperchaotic system?

JP Singh, BK Roy - Chaos, Solitons & Fractals, 2016 - Elsevier
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 …

Dynamical analysis, stabilization and discretization of a chaotic fractional-order GLV model

AE Matouk, AA Elsadany - Nonlinear Dynamics, 2016 - Springer
In this paper, the fractional-order generalized Lotka–Volterra (GLV) model and its
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

S Çiçek, A Ferikoğlu, İ Pehlivan - Optik, 2016 - Elsevier
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 …

Bifurcation analysis and circuit realization for multiple-delayed Wang–Chen system with hidden chaotic attractors

Z Wei, VT Pham, T Kapitaniak, Z Wang - Nonlinear Dynamics, 2016 - Springer
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 …

Dynamical analysis and circuit simulation of a new fractional-order hyperchaotic system and its discretization

AMA El-Sayed, A Elsonbaty, AA Elsadany… - International Journal of …, 2016 - World Scientific
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 …

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) …

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 …

Further nonlinear dynamical analysis of simple jerk system with multiple attractors

AR Elsonbaty, AMA El-Sayed - Nonlinear Dynamics, 2017 - Springer
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 …

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 …