Chaos is known as a natural candidate for cryptography applications owing to its properties such unpredictability and initial state sensitivity. However, certain chaos-based cryptosystems have been proven exhibit various security defects because their used chaotic maps do not complex dynamical behaviors. To address this problem, paper introduces cosine-transform-based system (CTBCS). Using two seed maps, the CTBCS can produce with For illustration, we three using analyze chaos complexity....

Chaotic maps are widely used in different applications. Motivated by the cascade structure electronic circuits, this paper introduces a general chaotic framework called system (CCS). Using two 1-D as seed maps, CCS is able to generate huge number of new maps. Examples and evaluations show CCS's robustness. Compared with corresponding newly generated more unpredictable have better performance, parameters, complex properties. To investigate applications CCS, we introduce pseudo-random...

Chaotic systems are suitable for image encryption owing to their numerous intrinsic characteristics. However, chaotic maps and algorithmic structures employed in many existing chaos-based algorithms exhibit various shortcomings. To overcome these, this study, we first construct a two-dimensional logistic tent modular map (2D-LTMM) then develop new colour algorithm (CIEA) using the 2D-LTMM, which is referred as LTMM-CIEA. Compared with used encryption, 2D-LTMM has fairly wide continuous range...

When chaotic systems are used in different practical applications, such as nonlinear control and cryptography, their complex chaos dynamics strongly required. However, many existing have simple complexity, this brings negative effects to chaos-based applications. To address issue, paper introduces a sine chaotification model (SCM) general framework enhance the complexity of one-dimensional (1-D) maps. The SCM uses function transform applies it output 1-D map. resulting enhanced map has...

Continuous memristor has been widely used in chaotic oscillating circuits and neuromorphic computing systems. However, discrete its coupling map have not noticed yet. This article presents a constructs general two-dimensional memristive model by the with an existing map. The pinched hysteresis loops of are demonstrated. Four examples maps provided their strength-relied initial-boosted complex dynamics investigated using numerical measures. evaluation results manifest that can enhance chaos...

The magnetic induction effects have been emulated by various continuous memristive models but they not successfully described a discrete model yet. To address this issue, article first constructs memristor and then presents Rulkov (m-Rulkov) neuron model. bifurcation routes of the m-Rulkov are declared detecting eigenvalue loci. Using numerical measures, we investigate complex dynamics shown in model, including regime transition behaviors, transient chaotic bursting regimes, hyperchaotic...

Regarding as a basic circuit component with special nonlinearity, memristor has been widely applied in chaotic circuits and neuromorphic circuits. However, discrete (DM) not received much attention, yet. To this end, paper reports general DM model its unified mapping model. Using the model, four representations of DMs are given their pinched hysteresis loops exhibited. Based on two-dimensional (2D) maps generated parameter-relied initials-relied behaviors explored using multiple numerical...

When chaotic sequences are used in engineering applications, their oscillating amplitudes need to be adjusted nondestructively. To accommodate this issue, article presents a simple 2-D sine map. It can not only generate the with high complexity, but also boost by switching initial states. show complex dynamics of map, investigates its control parameters-related dynamical behaviors and initials-boosted coexisting bifurcations using numerical methods. The results demonstrate that generated map...

Image encryption is an efficient visual technology to protect private images. This paper develops image algorithm utilizing the principles of Josephus problem and filtering technology. The follows classical diffusion confusion structure. principle used shuffle pixels different positions achieve property. Using a randomly generated filter, can spread slight changes original all cipher obtain simulation results show that developed able encrypt kinds images into with uniform distribution....

The low-rank tensor representation (LRTR) has become an emerging research direction to boost the multi-view clustering performance. This is because LRTR utilizes not only pairwise relation between data points, but also view of multiple views. However, there one significant challenge: uses nuclear norm as convex approximation provides a biased estimation rank function. To address this limitation, we propose generalized nonconvex (GNLTA) for subspace clustering. Instead correlation, GNLTA...

The term "metaverse", a three-dimensional virtual universe similar to the real realm, has always been full of imagination since it was put forward in 1990s. Recently, is possible realize metaverse with continuous emergence and progress various technologies, thus attracted extensive attention again. It may bring lot benefits human society such as reducing discrimination, eliminating individual differences, socializing. However, everything security privacy concerns, which no exception for...

As chaotic dynamics is widely used in nonlinear control, synchronization communication, and many other applications, designing maps with complex behaviors attractive. This paper proposes a sine-transform-based system (STBCS) of generating one-dimensional (1-D) maps. It performs sine transform to the combination outputs two existing (seed maps). Users have flexibility choose any 1-D as seed STBCS generate large number new The behavior verified using principle Lypunov exponent. To show...

Chaotic systems are widely employed in many practical applications for their significant properties. Existing chaotic may suffer from the drawbacks of discontinuous ranges and frail behaviors. To solve this issue, paper proposes a two-dimensional (2D) sine chaotification system (2D-SCS). 2D-SCS can not only significantly enhance complexity 2D maps, but also greatly extend ranges. As examples, applies to two existing maps obtain enhanced maps. Performance evaluations show that these have...

This paper proposes a general framework of 1-D chaotic maps called the dynamic parameter-control system (DPCCS). It has simple but effective structure that uses outputs map (control map) to dynamically control parameter another (seed map). Using any existing as control/seed (or both), DPCCS is able produce huge number new maps. Evaluations and comparisons show generated by are very sensitive their initial states, have wider ranges, better unpredictability more complex behaviors than seed an...

Robust chaos is defined as the inexistence of periodic windows and coexisting attractors in neighborhood parameter space. This characteristic desired because a chaotic system with robust can overcome disappearance caused by disturbance practical applications. However, many existing systems fail to consider chaos. article introduces an exponential model (ECM) produce new one-dimensional (1-D) maps ECM universal framework employing any two 1-D base exponent maps. As examples, we present nine...

Chaotic systems are widely studied in various research areas such as signal processing and secure communication. Existing chaotic may have drawbacks discontinuous ranges incomplete output distributions. These lead to the defects of some chaos-based applications. To accommodate these challenges, this paper proposes a two-dimensional (2D) modular chaotification system (2D-MCS) improve chaos complexity any 2D map. Because operation is bounded transform, improved maps by 2D-MCS can generate...

With the nonlinearity and plasticity, memristors are widely used as nonlinear devices for chaotic oscillations or biological synapses neuromorphic computations. But discrete (DMs) their coupling maps have not received much attention, yet. Using a DM model, this article presents general three-dimensional memristor-based (3-D-DM) map model. By with four 2-D maps, examples of 3-D-DM no infinitely many fixed points generated. We simulate coefficient-depended memristor initial-boosted bifurcation...