Tianai Lu

Nanjing University of Information Science & Technology · Electronic Engineering

Infinite lines of equilibria exist in a new memristive system when a tangent function is introduced for attractor self-reproducing. Lyapunov exponent spectra and bifurcation diagram shows that the newly proposed chaotic system exhibits intermittent chaos and hypermultistability characterized for the coexistence of infinite countable and uncountable...

There are complex chaotic manifolds in practical nonlinear dynamical systems, especially in nonlinear circuits and chemical engineering. Any system attractor has its own geometric and physical properties, such as granularity, orientation, and spatiotemporal distribution. Polarity balance plays an important role in the solution of a dynamical system...

A comprehensive exploration of symmetry and conditional symmetry is made from the evolution of symmetry. Unlike other chaotic systems of conditional symmetry, in this work it is derived from the symmetric diffusionless Lorenz system. Transformation from symmetry and asymmetry to conditional symmetry is examined by constant planting and dimension gr...

Conditional symmetry is obtained in a memristive system when the function-based polarity inverse meets the new polarity balance, which produces coexisting oscillations including chaos and other periodic ones. Coexisting bifurcations in two separate spaces were studied, showing an interesting function of amplitude modification in a limited parameter...

Conditional symmetry is known as a new regime for providing coexisting duplicate oscillations with opposite polarity. Polarity balance can be obtained from a function for hosting conditional symmetry. In this paper, new cases of chaotic systems with conditional symmetry are coined from 1D and 2D offset boosting based on a suitable polarity adjustme...

When the offset boosting technique is introduced into a chaotic system for attractor shifting, the number of coexisting attractors in the system can be doubled under the application of the employed absolute-value function. Consequently, the offset booster becomes a doubling parameter determining the distance between the two coexisting attractors, a...

By introducing trigonometric functions in a 4-D hyperchaotic snap system, infinite 1-D, 2-D, and 3-D lattices of hyperchaotic strange attractors were produced. Furthermore a general approach was developed for constructing self-reproducing systems, in which infinitely many attractors share the same Lyapunov exponents. In this case, cumbersome consta...

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 condition can be used to change the starting oscillation as well as the amplitude and frequency. From this a new regime of homogenous multistability was found, wher...

Although chaotic signals are considered to have great potential applications in radar and communication engineering, their broadband spectrum makes it difficult to design an applicable amplifier or an attenuator for amplitude conditioning. Moreover, the transformation between a unipolar signal and a bipolar signal is often required. In this paper,...