Dynamic analysis and multistability of a novel four-wing chaotic system with smooth piecewise quadratic nonlinearity

VRF Signing, J Kengne, LK Kana - Chaos, Solitons & Fractals, 2018 - Elsevier
In this contribution, a new four-wing chaotic system with a smooth piecewise quadratic
nonlinearity is introduced. The novel system is inspired from the cubic one introduced by …

A new piecewise linear hyperchaotic circuit

C Li, JC Sprott, W Thio, H Zhu - IEEE Transactions on Circuits …, 2014 - ieeexplore.ieee.org
When the polarity information in diffusionless Lorenz equations is preserved or removed, a
new piecewise linear hyperchaotic system results with only signum and absolute-value …

Coexistence of chaos with hyperchaos, period-3 doubling bifurcation, and transient chaos in the hyperchaotic oscillator with gyrators

J Kengne - International Journal of Bifurcation and Chaos, 2015 - World Scientific
In this paper, the dynamics of the paradigmatic hyperchaotic oscillator with gyrators
introduced by Tamasevicius and co-workers (referred to as the TCMNL oscillator hereafter) …

Pathways to hyperchaos in a three-dimensional quadratic map

SS Muni - The European Physical Journal Plus, 2024 - Springer
This paper deals with various routes to hyperchaos with all three positive Lyapunov
exponents in a three-dimensional quadratic map. The map under consideration displays …

Generating hyperchaotic attractors with three positive Lyapunov exponents via state feedback control

G Hu - International Journal of Bifurcation and Chaos, 2009 - World Scientific
This letter presents a new hyperchaotic system, which was obtained by adding a nonlinear
quadratic controller to the first equation and a linear controller to the second equation of the …

Theory and experimental realization of observer-based discrete-time hyperchaos synchronization

G Grassi, DA Miller - … Transactions on Circuits and Systems I …, 2002 - ieeexplore.ieee.org
Research in the synchronization of dynamical systems has been mainly focused on chaotic
rather than hyperchaotic systems and on continuous-time rather than discrete-time systems …

Multi-wing hyperchaotic attractors from coupled Lorenz systems

G Grassi, FL Severance, DA Miller - Chaos, Solitons & Fractals, 2009 - Elsevier
This paper illustrates an approach to generate multi-wing attractors in coupled Lorenz
systems. In particular, novel four-wing (eight-wing) hyperchaotic attractors are generated by …

Observer-based projective synchronization of fractional systems via a scalar signal: application to hyperchaotic Rössler systems

D Cafagna, G Grassi - Nonlinear Dynamics, 2012 - Springer
This paper introduces an observer-based approach to achieve projective synchronization in
fractional-order chaotic systems using a scalar synchronizing signal. The proposed method …

Hyperchaotic coupled Chua circuits: An approach for generating new n× m-scroll attractors

D Cafagna, G Grassi - International Journal of Bifurcation and …, 2003 - World Scientific
In this paper an approach for generating new hyperchaotic attractors from coupled Chua
circuits is proposed. The technique, which exploits sine functions as nonlinearities, enables …

A family of n-scroll hyperchaotic attractors and their realization

S Yu, J Lü, G Chen - Physics Letters A, 2007 - Elsevier
A systematic circuit design approach is proposed for experimental verification of
hyperchaotic 2-, 3-, 4-scroll attractors from a generalized Matsumoto–Chua–Kobayashi …