Rare and hidden attractors in Van der Pol-Duffing oscillators

S Brezetskyi, D Dudkowski, T Kapitaniak - The European Physical Journal …, 2015 - Springer
We study the dynamics of the single and coupled van der Pol-Duffing oscillators. Each
oscillator is characterized by the multistability (the coexistence of attractors). Some of the …

A hyperchaos generated from Lorenz system

X Wang, M Wang - Physica A: Statistical Mechanics and its Applications, 2008 - Elsevier
This paper presents a four-dimension hyperchaotic Lorenz system, obtained by adding a
nonlinear controller to Lorenz chaotic system. The hyperchaotic Lorenz system is studied by …

[PDF][PDF] Analysis, adaptive control and synchronization of a novel 4-D hyperchaotic hyperjerk system and its SPICE implementation

S Vaidyanathan, C Volos, VT Pham… - Archives of Control …, 2015 - bibliotekanauki.pl
A hyperjerk system is a dynamical system, which is modelled by an nth order ordinary
differential equation with n 4 describing the time evolution of a single scalar variable …

Finite-time synchronization of discontinuous neural networks with delays and mismatched parameters

W Zhang, X Yang, C Xu, J Feng… - IEEE transactions on …, 2017 - ieeexplore.ieee.org
This paper investigates the problem of finite-time drive-response synchronization for a class
of neural networks with discontinuous activations, time-varying discrete and infinite-time …

Hyperchaos, adaptive control and synchronization of a novel 5-D hyperchaotic system with three positive Lyapunov exponents and its SPICE implementation

S Vaidyanathan, C Volos, VT Pham - Archives of Control …, 2014 - yadda.icm.edu.pl
In this research work, a twelve-term novel 5-D hyperchaotic Lorenz system with three
quadratic nonlinearities has been derived by adding a feedback control to a ten-term 4-D …

Analysis and control of a 4-D novel hyperchaotic system

S Vaidyanathan, AT Azar - Chaos Modeling and Control Systems Design, 2015 - Springer
Hyperchaotic systems are defined as chaotic systems with more than one positive Lyapunov
exponent. Combined with one null Lyapunov exponent along the flow and one negative …

Fuzzy generalized projective synchronization of incommensurate fractional-order chaotic systems

A Boulkroune, A Bouzeriba, T Bouden - Neurocomputing, 2016 - Elsevier
This paper proposes a novel fuzzy adaptive controller for achieving an appropriate
generalized projective synchronization (GPS) of two incommensurate fractional-order …

A unified framework design for finite-time and fixed-time synchronization of discontinuous neural networks

J Xiao, Z Zeng, S Wen, A Wu… - IEEE transactions on …, 2019 - ieeexplore.ieee.org
In this article, the problems of finite-time/fixed-time synchronization have been investigated
for discontinuous neural networks in the unified framework. To achieve the finite-time/fixed …

Hyperchaos, qualitative analysis, control and synchronisation of a ten-term 4-D hyperchaotic system with an exponential nonlinearity and three quadratic …

S Vaidyanathan - International Journal of Modelling …, 2015 - inderscienceonline.com
In this research work, a ten-term novel hyperchaotic system with an exponential nonlinearity
and three quadratic nonlinearities has been derived. The Lyapunov exponents of the …

Stability conditions, hyperchaos and control in a novel fractional order hyperchaotic system

AE Matouk - Physics Letters A, 2009 - Elsevier
The stability conditions in fractional order hyperchaotic systems are derived. These
conditions are applied to a novel fractional order hyperchaotic system. The proposed system …