Dynamical analysis of a new chaotic system: asymmetric multistability, offset boosting control and circuit realization

C Ma, J Mou, L **ong, S Banerjee, T Liu, X Han - Nonlinear Dynamics, 2021 - Springer
In this paper, a new four-dimensional dissipative chaotic system which can produce multiple
asymmetric attractors is designed and its dynamical behaviors are analyzed. The basin of …

Chaotic flows with special equilibria

Z Wang, Z Wei, K Sun, S He, H Wang, Q Xu… - The European Physical …, 2020 - Springer
In this review, we categorize chaotic systems with special properties in their equilibrium into
eight groups: Systems with no equilibrium (NE), systems with stable equilibrium (SE) …

Memristor initial-boosted coexisting plane bifurcations and its extreme multi-stability reconstitution in two-memristor-based dynamical system

H Bao, M Chen, HG Wu, BC Bao - Science China Technological Sciences, 2020 - Springer
Initial-dependent extreme multi-stability and offset-boosted coexisting attractors have been
significantly concerned recently. This paper constructs a novel five-dimensional (5-D) two …

A simple no-equilibrium chaotic system with only one signum function for generating multidirectional variable hidden attractors and its hardware implementation

S Zhang, X Wang, Z Zeng - Chaos: An Interdisciplinary Journal of …, 2020 - pubs.aip.org
This paper proposes a simple no-equilibrium chaotic system with only one signum function
as compared with the existing no-equilibrium chaotic ones with at least one quadratic or …

Color image compression-encryption algorithm based on fractional-order memristor chaotic circuit

F Yang, J Mou, K Sun, Y Cao, J ** - IEEE Access, 2019 - ieeexplore.ieee.org
In this paper, a fractional-order memristive chaotic circuit system is defined according to
memristor circuit. The dynamic characteristics are analyzed through the phase diagram …

Dynamic analysis and geometric control of a novel parametrically controllable multi-scroll conservative chaotic system

C Fan, Q Ding - Nonlinear Dynamics, 2024 - Springer
This paper presents a novel parametrically controllable multi-scroll conservative chaotic
system with a concise mathematical model and rich dynamic properties. The number of …

[HTML][HTML] An infinite 3-D quasiperiodic lattice of chaotic attractors

C Li, JC Sprott - Physics Letters A, 2018 - Elsevier
A new dynamical system based on Thomas' system is described with infinitely many strange
attractors on a 3-D spatial lattice. The mechanism for this multistability is associated with the …

A memristive chaotic oscillator with increasing amplitude and frequency

C Li, WJC Thio, HHC Iu, T Lu - IEEE Access, 2018 - ieeexplore.ieee.org
A chaotic oscillator utilizing a flux-controlled memristor to produce a signal that grows in
amplitude and frequency over time is introduced in this paper. It was found that the initial …

Dynamic analysis of a new two-dimensional map in three forms: integer-order, fractional-order and improper fractional-order

C Ma, J Mou, P Li, T Liu - The European Physical Journal Special Topics, 2021 - Springer
In this paper, a new 2-dimensional chaotic map with a simple algebraic form is proposed.
And the numerical solution of the corresponding fractional-order map is derived. It is novel …

A unique chaotic snap system with a smoothly adjustable symmetry and nonlinearity: Chaos, offset-boosting, antimonotonicity, and coexisting multiple attractors

GD Leutcho, J Kengne - Chaos, Solitons & Fractals, 2018 - Elsevier
This work proposes and systematically investigates the dynamics of a novel snap system
with a single parameterized nonlinearity in the form φ k (z)= 0.5 (exp (kz)− exp (− z)). The …